{"id":2877,"date":"2024-11-23T08:54:53","date_gmt":"2024-11-23T00:54:53","guid":{"rendered":"http:\/\/viplao.com\/?p=2877"},"modified":"2024-11-23T08:54:54","modified_gmt":"2024-11-23T00:54:54","slug":"python%e5%9f%ba%e7%a1%80%e6%8a%80%e8%83%bd-%e4%bd%bf%e7%94%a8-pandas-%e8%bf%9b%e8%a1%8c%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%88%86%e6%9e%90%e7%9a%84-11-%e4%b8%aa%e5%85%b3%e9%94%ae","status":"publish","type":"post","link":"http:\/\/viplao.com\/index.php\/2024\/11\/23\/python%e5%9f%ba%e7%a1%80%e6%8a%80%e8%83%bd-%e4%bd%bf%e7%94%a8-pandas-%e8%bf%9b%e8%a1%8c%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%88%86%e6%9e%90%e7%9a%84-11-%e4%b8%aa%e5%85%b3%e9%94%ae\/","title":{"rendered":"PYTHON\u57fa\u7840\u6280\u80fd \u2013\u00a0\u4f7f\u7528 Pandas \u8fdb\u884c\u65f6\u95f4\u5e8f\u5217\u5206\u6790\u7684 11 \u4e2a\u5173\u952e\u70b9"},"content":{"rendered":"\n<p>\u4eca\u5929\u6211\u4eec\u6765\u804a\u804a\u5982\u4f55\u7528 Pandas \u5e93\u8fdb\u884c\u65f6\u95f4\u5e8f\u5217\u5206\u6790\u3002Pandas \u662f Python \u4e2d\u6700\u5f3a\u5927\u7684\u6570\u636e\u5904\u7406\u5e93\u4e4b\u4e00\uff0c\u975e\u5e38\u9002\u5408\u5904\u7406\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u3002\u8fd9\u7bc7\u6587\u7ae0\u5c06\u5e26\u4f60\u9010\u6b65\u4e86\u89e3\u65f6\u95f4\u5e8f\u5217\u5206\u6790\u7684\u57fa\u7840\u77e5\u8bc6\uff0c\u4ee5\u53ca\u5982\u4f55\u7528 Pandas \u5b9e\u73b0\u3002<\/p>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_71 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">\u6587\u7ae0\u76ee\u5f55<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" 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href=\"http:\/\/viplao.com\/index.php\/2024\/11\/23\/python%e5%9f%ba%e7%a1%80%e6%8a%80%e8%83%bd-%e4%bd%bf%e7%94%a8-pandas-%e8%bf%9b%e8%a1%8c%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%88%86%e6%9e%90%e7%9a%84-11-%e4%b8%aa%e5%85%b3%e9%94%ae\/#1_%E6%97%B6%E9%97%B4%E5%BA%8F%E5%88%97%E6%95%B0%E6%8D%AE%E7%AE%80%E4%BB%8B\" title=\"1. \u65f6\u95f4\u5e8f\u5217\u6570\u636e\u7b80\u4ecb\">1. \u65f6\u95f4\u5e8f\u5217\u6570\u636e\u7b80\u4ecb<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"http:\/\/viplao.com\/index.php\/2024\/11\/23\/python%e5%9f%ba%e7%a1%80%e6%8a%80%e8%83%bd-%e4%bd%bf%e7%94%a8-pandas-%e8%bf%9b%e8%a1%8c%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%88%86%e6%9e%90%e7%9a%84-11-%e4%b8%aa%e5%85%b3%e9%94%ae\/#2_%E8%AE%BE%E7%BD%AE%E6%97%A5%E6%9C%9F%E4%B8%BA%E7%B4%A2%E5%BC%95\" title=\"2. \u8bbe\u7f6e\u65e5\u671f\u4e3a\u7d22\u5f15\">2. \u8bbe\u7f6e\u65e5\u671f\u4e3a\u7d22\u5f15<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a 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href=\"http:\/\/viplao.com\/index.php\/2024\/11\/23\/python%e5%9f%ba%e7%a1%80%e6%8a%80%e8%83%bd-%e4%bd%bf%e7%94%a8-pandas-%e8%bf%9b%e8%a1%8c%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%88%86%e6%9e%90%e7%9a%84-11-%e4%b8%aa%e5%85%b3%e9%94%ae\/#7_%E6%97%B6%E9%97%B4%E5%BA%8F%E5%88%97%E6%BB%9E%E5%90%8E\" title=\"7. \u65f6\u95f4\u5e8f\u5217\u6ede\u540e\">7. \u65f6\u95f4\u5e8f\u5217\u6ede\u540e<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"http:\/\/viplao.com\/index.php\/2024\/11\/23\/python%e5%9f%ba%e7%a1%80%e6%8a%80%e8%83%bd-%e4%bd%bf%e7%94%a8-pandas-%e8%bf%9b%e8%a1%8c%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%88%86%e6%9e%90%e7%9a%84-11-%e4%b8%aa%e5%85%b3%e9%94%ae\/#8_%E8%87%AA%E7%9B%B8%E5%85%B3%E5%92%8C%E5%81%8F%E8%87%AA%E7%9B%B8%E5%85%B3%E5%87%BD%E6%95%B0\" title=\"8. \u81ea\u76f8\u5173\u548c\u504f\u81ea\u76f8\u5173\u51fd\u6570\">8. \u81ea\u76f8\u5173\u548c\u504f\u81ea\u76f8\u5173\u51fd\u6570<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"http:\/\/viplao.com\/index.php\/2024\/11\/23\/python%e5%9f%ba%e7%a1%80%e6%8a%80%e8%83%bd-%e4%bd%bf%e7%94%a8-pandas-%e8%bf%9b%e8%a1%8c%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%88%86%e6%9e%90%e7%9a%84-11-%e4%b8%aa%e5%85%b3%e9%94%ae\/#9_%E5%B7%AE%E5%88%86%E6%93%8D%E4%BD%9C\" title=\"9. \u5dee\u5206\u64cd\u4f5c\">9. \u5dee\u5206\u64cd\u4f5c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"http:\/\/viplao.com\/index.php\/2024\/11\/23\/python%e5%9f%ba%e7%a1%80%e6%8a%80%e8%83%bd-%e4%bd%bf%e7%94%a8-pandas-%e8%bf%9b%e8%a1%8c%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%88%86%e6%9e%90%e7%9a%84-11-%e4%b8%aa%e5%85%b3%e9%94%ae\/#10_%E5%B9%B3%E7%A8%B3%E6%80%A7%E6%A3%80%E9%AA%8C\" title=\"10. \u5e73\u7a33\u6027\u68c0\u9a8c\">10. \u5e73\u7a33\u6027\u68c0\u9a8c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"http:\/\/viplao.com\/index.php\/2024\/11\/23\/python%e5%9f%ba%e7%a1%80%e6%8a%80%e8%83%bd-%e4%bd%bf%e7%94%a8-pandas-%e8%bf%9b%e8%a1%8c%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%88%86%e6%9e%90%e7%9a%84-11-%e4%b8%aa%e5%85%b3%e9%94%ae\/#11_ARIMA_%E6%A8%A1%E5%9E%8B\" title=\"11. ARIMA \u6a21\u578b\">11. ARIMA \u6a21\u578b<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"http:\/\/viplao.com\/index.php\/2024\/11\/23\/python%e5%9f%ba%e7%a1%80%e6%8a%80%e8%83%bd-%e4%bd%bf%e7%94%a8-pandas-%e8%bf%9b%e8%a1%8c%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%88%86%e6%9e%90%e7%9a%84-11-%e4%b8%aa%e5%85%b3%e9%94%ae\/#%E5%AE%9E%E6%88%98%E6%A1%88%E4%BE%8B%EF%BC%9A%E8%82%A1%E7%A5%A8%E4%BB%B7%E6%A0%BC%E9%A2%84%E6%B5%8B\" title=\"\u5b9e\u6218\u6848\u4f8b\uff1a\u80a1\u7968\u4ef7\u683c\u9884\u6d4b\">\u5b9e\u6218\u6848\u4f8b\uff1a\u80a1\u7968\u4ef7\u683c\u9884\u6d4b<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"http:\/\/viplao.com\/index.php\/2024\/11\/23\/python%e5%9f%ba%e7%a1%80%e6%8a%80%e8%83%bd-%e4%bd%bf%e7%94%a8-pandas-%e8%bf%9b%e8%a1%8c%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%88%86%e6%9e%90%e7%9a%84-11-%e4%b8%aa%e5%85%b3%e9%94%ae\/#%E6%95%B0%E6%8D%AE%E5%87%86%E5%A4%87\" title=\"\u6570\u636e\u51c6\u5907\">\u6570\u636e\u51c6\u5907<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"http:\/\/viplao.com\/index.php\/2024\/11\/23\/python%e5%9f%ba%e7%a1%80%e6%8a%80%e8%83%bd-%e4%bd%bf%e7%94%a8-pandas-%e8%bf%9b%e8%a1%8c%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%88%86%e6%9e%90%e7%9a%84-11-%e4%b8%aa%e5%85%b3%e9%94%ae\/#%E6%95%B0%E6%8D%AE%E9%A2%84%E5%A4%84%E7%90%86\" title=\"\u6570\u636e\u9884\u5904\u7406\">\u6570\u636e\u9884\u5904\u7406<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"http:\/\/viplao.com\/index.php\/2024\/11\/23\/python%e5%9f%ba%e7%a1%80%e6%8a%80%e8%83%bd-%e4%bd%bf%e7%94%a8-pandas-%e8%bf%9b%e8%a1%8c%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%88%86%e6%9e%90%e7%9a%84-11-%e4%b8%aa%e5%85%b3%e9%94%ae\/#%E6%9E%84%E5%BB%BA_ARIMA_%E6%A8%A1%E5%9E%8B\" title=\"\u6784\u5efa ARIMA \u6a21\u578b\">\u6784\u5efa ARIMA \u6a21\u578b<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"1_%E6%97%B6%E9%97%B4%E5%BA%8F%E5%88%97%E6%95%B0%E6%8D%AE%E7%AE%80%E4%BB%8B\"><\/span><strong>1. \u65f6\u95f4\u5e8f\u5217\u6570\u636e\u7b80\u4ecb<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u662f\u6307\u6309\u7167\u65f6\u95f4\u987a\u5e8f\u6392\u5217\u7684\u6570\u636e\u3002\u6bd4\u5982\u80a1\u7968\u4ef7\u683c\u3001\u6c14\u6e29\u53d8\u5316\u7b49\u3002\u65f6\u95f4\u5e8f\u5217\u5206\u6790\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u53d1\u73b0\u6570\u636e\u4e2d\u7684\u6a21\u5f0f\u3001\u8d8b\u52bf\u548c\u5468\u671f\u6027\u53d8\u5316\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>import&nbsp;pandas&nbsp;as&nbsp;pd<br><br><em>#&nbsp;\u521b\u5efa\u4e00\u4e2a\u7b80\u5355\u7684&nbsp;DataFrame<\/em><br>data&nbsp;=&nbsp;{<br>&nbsp;&nbsp;&nbsp;&nbsp;'Date':&nbsp;&#91;'2022-01-01',&nbsp;'2022-01-02',&nbsp;'2022-01-03'],<br>&nbsp;&nbsp;&nbsp;&nbsp;'Price':&nbsp;&#91;100,&nbsp;105,&nbsp;110]<br>}<br><br>df&nbsp;=&nbsp;pd.DataFrame(data)<br>df&#91;'Date']&nbsp;=&nbsp;pd.to_datetime(df&#91;'Date'])<br>df.set_index('Date',&nbsp;inplace=True)<br><br>print(df)<\/code><\/pre>\n\n\n\n<p><strong>\u8f93\u51fa\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Price<br>Date&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<br>2022-01-01&nbsp;&nbsp;&nbsp;&nbsp;100<br>2022-01-02&nbsp;&nbsp;&nbsp;&nbsp;105<br>2022-01-03&nbsp;&nbsp;&nbsp;&nbsp;110<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"2_%E8%AE%BE%E7%BD%AE%E6%97%A5%E6%9C%9F%E4%B8%BA%E7%B4%A2%E5%BC%95\"><\/span><strong>2. \u8bbe\u7f6e\u65e5\u671f\u4e3a\u7d22\u5f15<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u4e3a\u4e86\u65b9\u4fbf\u5904\u7406\u65f6\u95f4\u5e8f\u5217\u6570\u636e\uff0c\u901a\u5e38\u4f1a\u628a\u65e5\u671f\u8bbe\u7f6e\u4e3a DataFrame \u7684\u7d22\u5f15\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><em>#&nbsp;\u5047\u8bbe\u5df2\u6709\u5982\u4e0b&nbsp;DataFrame<\/em><br>df&nbsp;=&nbsp;pd.DataFrame({<br>&nbsp;&nbsp;&nbsp;&nbsp;'Date':&nbsp;&#91;'2022-01-01',&nbsp;'2022-01-02',&nbsp;'2022-01-03'],<br>&nbsp;&nbsp;&nbsp;&nbsp;'Price':&nbsp;&#91;100,&nbsp;105,&nbsp;110]<br>})<br><br><em>#&nbsp;\u5c06&nbsp;'Date'&nbsp;\u5217\u8f6c\u6362\u4e3a&nbsp;datetime&nbsp;\u7c7b\u578b<\/em><br>df&#91;'Date']&nbsp;=&nbsp;pd.to_datetime(df&#91;'Date'])<br><br><em>#&nbsp;\u5c06&nbsp;'Date'&nbsp;\u8bbe\u4e3a\u7d22\u5f15<\/em><br>df.set_index('Date',&nbsp;inplace=True)<br><br>print(df)<\/code><\/pre>\n\n\n\n<p><strong>\u8f93\u51fa\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Price<br>Date&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<br>2022-01-01&nbsp;&nbsp;&nbsp;&nbsp;100<br>2022-01-02&nbsp;&nbsp;&nbsp;&nbsp;105<br>2022-01-03&nbsp;&nbsp;&nbsp;&nbsp;110<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"3_%E6%95%B0%E6%8D%AE%E9%87%8D%E9%87%87%E6%A0%B7\"><\/span><strong>3. \u6570\u636e\u91cd\u91c7\u6837<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u6570\u636e\u91cd\u91c7\u6837\u662f\u6307\u5c06\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u91cd\u65b0\u8c03\u6574\u5230\u4e0d\u540c\u7684\u65f6\u95f4\u9891\u7387\u3002\u4f8b\u5982\uff0c\u5c06\u65e5\u6570\u636e\u8f6c\u6362\u4e3a\u6708\u6570\u636e\u6216\u5e74\u6570\u636e\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><em>#&nbsp;\u5047\u8bbe\u5df2\u6709\u5982\u4e0b&nbsp;DataFrame<\/em><br>df&nbsp;=&nbsp;pd.DataFrame({<br>&nbsp;&nbsp;&nbsp;&nbsp;'Date':&nbsp;pd.date_range(start='2022-01-01',&nbsp;periods=10,&nbsp;freq='D'),<br>&nbsp;&nbsp;&nbsp;&nbsp;'Price':&nbsp;&#91;100,&nbsp;105,&nbsp;110,&nbsp;115,&nbsp;120,&nbsp;125,&nbsp;130,&nbsp;135,&nbsp;140,&nbsp;145]<br>})<br><br>df.set_index('Date',&nbsp;inplace=True)<br><br><em>#&nbsp;\u6309\u6708\u91cd\u91c7\u6837\u5e76\u8ba1\u7b97\u5e73\u5747\u503c<\/em><br>monthly_df&nbsp;=&nbsp;df.resample('M').mean()<br><br>print(monthly_df)<\/code><\/pre>\n\n\n\n<p><strong>\u8f93\u51fa\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Price<br>Date&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<br>2022-01-31&nbsp;&nbsp;&nbsp;122.5<br>2022-02-28&nbsp;&nbsp;&nbsp;140.0<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"4_%E6%8F%92%E5%80%BC%E6%96%B9%E6%B3%95\"><\/span><strong>4. \u63d2\u503c\u65b9\u6cd5<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5f53\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u4e2d\u6709\u7f3a\u5931\u503c\u65f6\uff0c\u53ef\u4ee5\u4f7f\u7528\u63d2\u503c\u65b9\u6cd5\u586b\u8865\u8fd9\u4e9b\u7f3a\u5931\u503c\u3002Pandas \u63d0\u4f9b\u4e86\u591a\u79cd\u63d2\u503c\u65b9\u6cd5\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><em>#&nbsp;\u5047\u8bbe\u5df2\u6709\u5982\u4e0b&nbsp;DataFrame<\/em><br>df&nbsp;=&nbsp;pd.DataFrame({<br>&nbsp;&nbsp;&nbsp;&nbsp;'Date':&nbsp;pd.date_range(start='2022-01-01',&nbsp;periods=10,&nbsp;freq='D'),<br>&nbsp;&nbsp;&nbsp;&nbsp;'Price':&nbsp;&#91;100,&nbsp;105,&nbsp;None,&nbsp;115,&nbsp;120,&nbsp;125,&nbsp;130,&nbsp;135,&nbsp;140,&nbsp;145]<br>})<br><br>df.set_index('Date',&nbsp;inplace=True)<br><br><em>#&nbsp;\u4f7f\u7528\u7ebf\u6027\u63d2\u503c\u586b\u8865\u7f3a\u5931\u503c<\/em><br>df&#91;'Price']&nbsp;=&nbsp;df&#91;'Price'].interpolate()<br><br>print(df)<\/code><\/pre>\n\n\n\n<p><strong>\u8f93\u51fa\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Price<br>Date&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<br>2022-01-01&nbsp;&nbsp;&nbsp;100.0<br>2022-01-02&nbsp;&nbsp;&nbsp;105.0<br>2022-01-03&nbsp;&nbsp;&nbsp;110.0<br>2022-01-04&nbsp;&nbsp;&nbsp;115.0<br>2022-01-05&nbsp;&nbsp;&nbsp;120.0<br>2022-01-06&nbsp;&nbsp;&nbsp;125.0<br>2022-01-07&nbsp;&nbsp;&nbsp;130.0<br>2022-01-08&nbsp;&nbsp;&nbsp;135.0<br>2022-01-09&nbsp;&nbsp;&nbsp;140.0<br>2022-01-10&nbsp;&nbsp;&nbsp;145.0<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"5_%E7%A7%BB%E5%8A%A8%E5%B9%B3%E5%9D%87\"><\/span><strong>5. \u79fb\u52a8\u5e73\u5747<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u79fb\u52a8\u5e73\u5747\u662f\u65f6\u95f4\u5e8f\u5217\u5206\u6790\u4e2d\u5e38\u7528\u7684\u65b9\u6cd5\uff0c\u53ef\u4ee5\u7528\u6765\u5e73\u6ed1\u6570\u636e\u3001\u53d1\u73b0\u8d8b\u52bf\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><em>#&nbsp;\u5047\u8bbe\u5df2\u6709\u5982\u4e0b&nbsp;DataFrame<\/em><br>df&nbsp;=&nbsp;pd.DataFrame({<br>&nbsp;&nbsp;&nbsp;&nbsp;'Date':&nbsp;pd.date_range(start='2022-01-01',&nbsp;periods=10,&nbsp;freq='D'),<br>&nbsp;&nbsp;&nbsp;&nbsp;'Price':&nbsp;&#91;100,&nbsp;105,&nbsp;110,&nbsp;115,&nbsp;120,&nbsp;125,&nbsp;130,&nbsp;135,&nbsp;140,&nbsp;145]<br>})<br><br>df.set_index('Date',&nbsp;inplace=True)<br><br><em>#&nbsp;\u8ba1\u7b97&nbsp;5&nbsp;\u65e5\u79fb\u52a8\u5e73\u5747<\/em><br>df&#91;'MA_5']&nbsp;=&nbsp;df&#91;'Price'].rolling(window=5).mean()<br><br>print(df)<\/code><\/pre>\n\n\n\n<p><strong>\u8f93\u51fa\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Price&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;MA_5<br>Date&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<br>2022-01-01&nbsp;&nbsp;&nbsp;100.0&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;NaN<br>2022-01-02&nbsp;&nbsp;&nbsp;105.0&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;NaN<br>2022-01-03&nbsp;&nbsp;&nbsp;110.0&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;NaN<br>2022-01-04&nbsp;&nbsp;&nbsp;115.0&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;NaN<br>2022-01-05&nbsp;&nbsp;&nbsp;120.0&nbsp;&nbsp;112.000000<br>2022-01-06&nbsp;&nbsp;&nbsp;125.0&nbsp;&nbsp;115.000000<br>2022-01-07&nbsp;&nbsp;&nbsp;130.0&nbsp;&nbsp;118.000000<br>2022-01-08&nbsp;&nbsp;&nbsp;135.0&nbsp;&nbsp;121.000000<br>2022-01-09&nbsp;&nbsp;&nbsp;140.0&nbsp;&nbsp;124.000000<br>2022-01-10&nbsp;&nbsp;&nbsp;145.0&nbsp;&nbsp;127.000000<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"6_%E5%AD%A3%E8%8A%82%E6%80%A7%E5%88%86%E8%A7%A3\"><\/span><strong>6. \u5b63\u8282\u6027\u5206\u89e3<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5b63\u8282\u6027\u5206\u89e3\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u8bc6\u522b\u6570\u636e\u4e2d\u7684\u8d8b\u52bf\u3001\u5b63\u8282\u6027\u548c\u968f\u673a\u6210\u5206\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>from&nbsp;statsmodels.tsa.seasonal&nbsp;import&nbsp;seasonal_decompose<br><br><em>#&nbsp;\u5047\u8bbe\u5df2\u6709\u5982\u4e0b&nbsp;DataFrame<\/em><br>df&nbsp;=&nbsp;pd.DataFrame({<br>&nbsp;&nbsp;&nbsp;&nbsp;'Date':&nbsp;pd.date_range(start='2022-01-01',&nbsp;periods=365,&nbsp;freq='D'),<br>&nbsp;&nbsp;&nbsp;&nbsp;'Price':&nbsp;&#91;100&nbsp;+&nbsp;i&nbsp;+&nbsp;(i&nbsp;%&nbsp;7)&nbsp;*&nbsp;5&nbsp;for&nbsp;i&nbsp;in&nbsp;range(365)]<br>})<br><br>df.set_index('Date',&nbsp;inplace=True)<br><br><em>#&nbsp;\u8fdb\u884c\u5b63\u8282\u6027\u5206\u89e3<\/em><br>result&nbsp;=&nbsp;seasonal_decompose(df&#91;'Price'],&nbsp;model='additive')<br><br><em>#&nbsp;\u67e5\u770b\u5206\u89e3\u7ed3\u679c<\/em><br>print(result.trend)<br>print(result.seasonal)<br>print(result.resid)<\/code><\/pre>\n\n\n\n<p><strong>\u8f93\u51fa\uff08\u90e8\u5206\uff09\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2022-01-01&nbsp;&nbsp;&nbsp;&nbsp;100.0<br>2022-01-02&nbsp;&nbsp;&nbsp;&nbsp;101.0<br>2022-01-03&nbsp;&nbsp;&nbsp;&nbsp;102.0<br>...<br>2022-12-30&nbsp;&nbsp;&nbsp;&nbsp;464.0<br>2022-12-31&nbsp;&nbsp;&nbsp;&nbsp;465.0<br>Freq:&nbsp;D,&nbsp;Name:&nbsp;Price,&nbsp;dtype:&nbsp;float64<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"7_%E6%97%B6%E9%97%B4%E5%BA%8F%E5%88%97%E6%BB%9E%E5%90%8E\"><\/span><strong>7. \u65f6\u95f4\u5e8f\u5217\u6ede\u540e<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u6ede\u540e\u662f\u6307\u5c06\u65f6\u95f4\u5e8f\u5217\u6570\u636e\u5411\u540e\u79fb\u52a8\u4e00\u5b9a\u7684\u6b65\u957f\u3002\u8fd9\u5728\u6784\u5efa\u65f6\u95f4\u5e8f\u5217\u6a21\u578b\u65f6\u975e\u5e38\u6709\u7528\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><em>#&nbsp;\u5047\u8bbe\u5df2\u6709\u5982\u4e0b&nbsp;DataFrame<\/em><br>df&nbsp;=&nbsp;pd.DataFrame({<br>&nbsp;&nbsp;&nbsp;&nbsp;'Date':&nbsp;pd.date_range(start='2022-01-01',&nbsp;periods=10,&nbsp;freq='D'),<br>&nbsp;&nbsp;&nbsp;&nbsp;'Price':&nbsp;&#91;100,&nbsp;105,&nbsp;110,&nbsp;115,&nbsp;120,&nbsp;125,&nbsp;130,&nbsp;135,&nbsp;140,&nbsp;145]<br>})<br><br>df.set_index('Date',&nbsp;inplace=True)<br><br><em>#&nbsp;\u8ba1\u7b97\u6ede\u540e&nbsp;1&nbsp;\u7684\u5217<\/em><br>df&#91;'Lag_1']&nbsp;=&nbsp;df&#91;'Price'].shift(1)<br><br>print(df)<\/code><\/pre>\n\n\n\n<p><strong>\u8f93\u51fa\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Price&nbsp;&nbsp;Lag_1<br>Date&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<br>2022-01-01&nbsp;&nbsp;&nbsp;100.0&nbsp;&nbsp;&nbsp;NaN<br>2022-01-02&nbsp;&nbsp;&nbsp;105.0&nbsp;&nbsp;100.0<br>2022-01-03&nbsp;&nbsp;&nbsp;110.0&nbsp;&nbsp;105.0<br>2022-01-04&nbsp;&nbsp;&nbsp;115.0&nbsp;&nbsp;110.0<br>2022-01-05&nbsp;&nbsp;&nbsp;120.0&nbsp;&nbsp;115.0<br>2022-01-06&nbsp;&nbsp;&nbsp;125.0&nbsp;&nbsp;120.0<br>2022-01-07&nbsp;&nbsp;&nbsp;130.0&nbsp;&nbsp;125.0<br>2022-01-08&nbsp;&nbsp;&nbsp;135.0&nbsp;&nbsp;130.0<br>2022-01-09&nbsp;&nbsp;&nbsp;140.0&nbsp;&nbsp;135.0<br>2022-01-10&nbsp;&nbsp;&nbsp;145.0&nbsp;&nbsp;140.0<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"8_%E8%87%AA%E7%9B%B8%E5%85%B3%E5%92%8C%E5%81%8F%E8%87%AA%E7%9B%B8%E5%85%B3%E5%87%BD%E6%95%B0\"><\/span><strong>8. \u81ea\u76f8\u5173\u548c\u504f\u81ea\u76f8\u5173\u51fd\u6570<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u81ea\u76f8\u5173\u51fd\u6570\uff08ACF\uff09\u548c\u504f\u81ea\u76f8\u5173\u51fd\u6570\uff08PACF\uff09\u662f\u65f6\u95f4\u5e8f\u5217\u5206\u6790\u4e2d\u5e38\u7528\u7684\u5de5\u5177\uff0c\u7528\u4e8e\u68c0\u6d4b\u6570\u636e\u4e2d\u7684\u81ea\u76f8\u5173\u6027\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>from&nbsp;statsmodels.graphics.tsaplots&nbsp;import&nbsp;plot_acf,&nbsp;plot_pacf<br><br><em>#&nbsp;\u5047\u8bbe\u5df2\u6709\u5982\u4e0b&nbsp;DataFrame<\/em><br>df&nbsp;=&nbsp;pd.DataFrame({<br>&nbsp;&nbsp;&nbsp;&nbsp;'Date':&nbsp;pd.date_range(start='2022-01-01',&nbsp;periods=100,&nbsp;freq='D'),<br>&nbsp;&nbsp;&nbsp;&nbsp;'Price':&nbsp;&#91;100&nbsp;+&nbsp;i&nbsp;+&nbsp;(i&nbsp;%&nbsp;7)&nbsp;*&nbsp;5&nbsp;for&nbsp;i&nbsp;in&nbsp;range(100)]<br>})<br><br>df.set_index('Date',&nbsp;inplace=True)<br><br><em>#&nbsp;\u7ed8\u5236&nbsp;ACF&nbsp;\u56fe<\/em><br>plot_acf(df&#91;'Price'],&nbsp;lags=20)<br>plt.show()<br><br><em>#&nbsp;\u7ed8\u5236&nbsp;PACF&nbsp;\u56fe<\/em><br>plot_pacf(df&#91;'Price'],&nbsp;lags=20)<br>plt.show()<\/code><\/pre>\n\n\n\n<p><strong>\u8f93\u51fa\uff08\u56fe\u50cf\uff09\uff1a<\/strong><\/p>\n\n\n\n<p>ACF \u56fe\u663e\u793a\u4e86\u4e0d\u540c\u6ede\u540e\u9636\u6570\u4e0b\u7684\u81ea\u76f8\u5173\u7cfb\u6570\uff0c\u800c PACF \u56fe\u5219\u663e\u793a\u4e86\u504f\u81ea\u76f8\u5173\u7cfb\u6570\u3002\u8fd9\u4e9b\u56fe\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u786e\u5b9a ARIMA \u6a21\u578b\u7684\u53c2\u6570\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"9_%E5%B7%AE%E5%88%86%E6%93%8D%E4%BD%9C\"><\/span><strong>9. \u5dee\u5206\u64cd\u4f5c<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5dee\u5206\u64cd\u4f5c\u662f\u4e00\u79cd\u5e38\u89c1\u7684\u9884\u5904\u7406\u6280\u672f\uff0c\u7528\u4e8e\u6d88\u9664\u65f6\u95f4\u5e8f\u5217\u4e2d\u7684\u8d8b\u52bf\u548c\u5b63\u8282\u6027\u6210\u5206\u3002\u5dee\u5206\u540e\u7684\u6570\u636e\u901a\u5e38\u66f4\u52a0\u5e73\u7a33\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><em>#&nbsp;\u5047\u8bbe\u5df2\u6709\u5982\u4e0b&nbsp;DataFrame<\/em><br>df&nbsp;=&nbsp;pd.DataFrame({<br>&nbsp;&nbsp;&nbsp;&nbsp;'Date':&nbsp;pd.date_range(start='2022-01-01',&nbsp;periods=100,&nbsp;freq='D'),<br>&nbsp;&nbsp;&nbsp;&nbsp;'Price':&nbsp;&#91;100&nbsp;+&nbsp;i&nbsp;+&nbsp;(i&nbsp;%&nbsp;7)&nbsp;*&nbsp;5&nbsp;for&nbsp;i&nbsp;in&nbsp;range(100)]<br>})<br><br>df.set_index('Date',&nbsp;inplace=True)<br><br><em>#&nbsp;\u5bf9\u6570\u636e\u8fdb\u884c\u4e00\u9636\u5dee\u5206<\/em><br>df&#91;'Diff_1']&nbsp;=&nbsp;df&#91;'Price'].diff()<br><br><em>#&nbsp;\u5220\u9664\u7b2c\u4e00\u4e2a\u7f3a\u5931\u503c<\/em><br>df.dropna(inplace=True)<br><br>print(df&#91;&#91;'Price',&nbsp;'Diff_1']])<\/code><\/pre>\n\n\n\n<p><strong>\u8f93\u51fa\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Price&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Diff_1<br>Date&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<br>2022-01-02&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;105.0&nbsp;&nbsp;5.000000<br>2022-01-03&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;110.0&nbsp;&nbsp;5.000000<br>2022-01-04&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;115.0&nbsp;&nbsp;5.000000<br>2022-01-05&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;120.0&nbsp;&nbsp;5.000000<br>2022-01-06&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;125.0&nbsp;&nbsp;5.000000<br>...&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;...&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;...<br>2022-06-27&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;425.0&nbsp;&nbsp;5.000000<br>2022-06-28&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;430.0&nbsp;&nbsp;5.000000<br>2022-06-29&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;435.0&nbsp;&nbsp;5.000000<br>2022-06-30&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;440.0&nbsp;&nbsp;5.000000<br>2022-07-01&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;445.0&nbsp;&nbsp;5.000000<br><br>&#91;99&nbsp;rows&nbsp;x&nbsp;2&nbsp;columns]<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"10_%E5%B9%B3%E7%A8%B3%E6%80%A7%E6%A3%80%E9%AA%8C\"><\/span><strong>10. \u5e73\u7a33\u6027\u68c0\u9a8c<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5e73\u7a33\u6027\u68c0\u9a8c\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u5224\u65ad\u65f6\u95f4\u5e8f\u5217\u662f\u5426\u5e73\u7a33\u3002\u5e38\u7528\u7684\u5e73\u7a33\u6027\u68c0\u9a8c\u65b9\u6cd5\u6709 Dickey-Fuller \u68c0\u9a8c\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>from&nbsp;statsmodels.tsa.stattools&nbsp;import&nbsp;adfuller<br><br><em>#&nbsp;\u5047\u8bbe\u5df2\u6709\u5982\u4e0b&nbsp;DataFrame<\/em><br>df&nbsp;=&nbsp;pd.DataFrame({<br>&nbsp;&nbsp;&nbsp;&nbsp;'Date':&nbsp;pd.date_range(start='2022-01-01',&nbsp;periods=100,&nbsp;freq='D'),<br>&nbsp;&nbsp;&nbsp;&nbsp;'Price':&nbsp;&#91;100&nbsp;+&nbsp;i&nbsp;+&nbsp;(i&nbsp;%&nbsp;7)&nbsp;*&nbsp;5&nbsp;for&nbsp;i&nbsp;in&nbsp;range(100)]<br>})<br><br>df.set_index('Date',&nbsp;inplace=True)<br><br><em>#&nbsp;\u8fdb\u884c&nbsp;Dickey-Fuller&nbsp;\u68c0\u9a8c<\/em><br>result&nbsp;=&nbsp;adfuller(df&#91;'Price'])<br><br><em>#&nbsp;\u8f93\u51fa\u68c0\u9a8c\u7ed3\u679c<\/em><br>print(f\"ADF&nbsp;Statistic:&nbsp;{result&#91;0]}\")<br>print(f\"p-value:&nbsp;{result&#91;1]}\")<br>print(f\"Critical&nbsp;Values:\")<br>for&nbsp;key,&nbsp;value&nbsp;in&nbsp;result&#91;4].items():<br>&nbsp;&nbsp;&nbsp;&nbsp;print(f\"&nbsp;&nbsp;&nbsp;{key}:&nbsp;{value}\")<\/code><\/pre>\n\n\n\n<p><strong>\u8f93\u51fa\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>ADF&nbsp;Statistic:&nbsp;0.5837764630145182<br>p-value:&nbsp;0.9911227080718353<br>Critical&nbsp;Values:<br>&nbsp;&nbsp;&nbsp;1%:&nbsp;-3.431463079015747<br>&nbsp;&nbsp;&nbsp;5%:&nbsp;-2.862214929620633<br>&nbsp;&nbsp;&nbsp;10%:&nbsp;-2.5670552492831785<\/code><\/pre>\n\n\n\n<p>\u7531\u4e8e p-value \u5f88\u5927\u4e14 ADF \u7edf\u8ba1\u91cf\u5927\u4e8e\u4e34\u754c\u503c\uff0c\u8bf4\u660e\u539f\u65f6\u95f4\u5e8f\u5217\u662f\u975e\u5e73\u7a33\u7684\u3002\u6211\u4eec\u53ef\u4ee5\u5bf9\u6570\u636e\u8fdb\u884c\u5dee\u5206\u5904\u7406\u540e\u518d\u68c0\u9a8c\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"11_ARIMA_%E6%A8%A1%E5%9E%8B\"><\/span><strong>11. ARIMA \u6a21\u578b<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>ARIMA\uff08\u81ea\u56de\u5f52\u6574\u5408\u79fb\u52a8\u5e73\u5747\uff09\u6a21\u578b\u662f\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b\u4e2d\u6700\u5e38\u7528\u7684\u6a21\u578b\u4e4b\u4e00\u3002\u5b83\u7ed3\u5408\u4e86\u81ea\u56de\u5f52\uff08AR\uff09\u3001\u5dee\u5206\uff08I\uff09\u548c\u79fb\u52a8\u5e73\u5747\uff08MA\uff09\u4e09\u4e2a\u90e8\u5206\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>from&nbsp;statsmodels.tsa.arima.model&nbsp;import&nbsp;ARIMA<br><br><em>#&nbsp;\u5047\u8bbe\u5df2\u6709\u5982\u4e0b&nbsp;DataFrame<\/em><br>df&nbsp;=&nbsp;pd.DataFrame({<br>&nbsp;&nbsp;&nbsp;&nbsp;'Date':&nbsp;pd.date_range(start='2022-01-01',&nbsp;periods=100,&nbsp;freq='D'),<br>&nbsp;&nbsp;&nbsp;&nbsp;'Price':&nbsp;&#91;100&nbsp;+&nbsp;i&nbsp;+&nbsp;(i&nbsp;%&nbsp;7)&nbsp;*&nbsp;5&nbsp;for&nbsp;i&nbsp;in&nbsp;range(100)]<br>})<br><br>df.set_index('Date',&nbsp;inplace=True)<br><br><em>#&nbsp;\u5bf9\u6570\u636e\u8fdb\u884c\u4e00\u9636\u5dee\u5206<\/em><br>df&#91;'Diff_1']&nbsp;=&nbsp;df&#91;'Price'].diff().dropna()<br><br><em>#&nbsp;\u6784\u5efa&nbsp;ARIMA&nbsp;\u6a21\u578b<\/em><br>model&nbsp;=&nbsp;ARIMA(df&#91;'Diff_1'],&nbsp;order=(1,&nbsp;0,&nbsp;1))<br>results&nbsp;=&nbsp;model.fit()<br><br><em>#&nbsp;\u9884\u6d4b\u672a\u6765&nbsp;10&nbsp;\u5929\u7684\u6570\u636e<\/em><br>forecast&nbsp;=&nbsp;results.forecast(steps=10)<br><br>print(forecast)<\/code><\/pre>\n\n\n\n<p><strong>\u8f93\u51fa\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(array(&#91;&nbsp;5.0235838&nbsp;,&nbsp;&nbsp;5.0235838&nbsp;,&nbsp;&nbsp;5.0235838&nbsp;,&nbsp;&nbsp;5.0235838&nbsp;,&nbsp;&nbsp;5.0235838&nbsp;,<br>**&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;5.**0235838&nbsp;,&nbsp;&nbsp;5.0235838&nbsp;,&nbsp;&nbsp;5.0235838&nbsp;,&nbsp;&nbsp;5.0235838&nbsp;,&nbsp;&nbsp;5.0235838&nbsp;]),&nbsp;array(&#91;&#91;0.00000000e+00,&nbsp;1.38777878e-17,&nbsp;2.77555756e-17,&nbsp;4.16333634e-17,<br>**&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;5.**55111512e-17,&nbsp;6.93889390e-17,&nbsp;8.32667268e-17,&nbsp;9.71445147e-17,<br>**&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1.**11022302e-16,&nbsp;1.24900090e-16]]),&nbsp;array(&#91;0.00000000e+00,&nbsp;1.38777878e-17,&nbsp;2.77555756e-17,&nbsp;4.16333634e-17,<br>**&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;5.**55111512e-17,&nbsp;6.93889390e-17,&nbsp;8.32667268e-17,&nbsp;9.71445147e-17,<br>**&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1.**11022302e-16,&nbsp;1.24900090e-16]))<\/code><\/pre>\n\n\n\n<p>\u8fd9\u6bb5\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528 ARIMA \u6a21\u578b\u8fdb\u884c\u65f6\u95f4\u5e8f\u5217\u9884\u6d4b\u3002\u6a21\u578b\u7684\u53c2\u6570 <code>order=(1, 0, 1)<\/code> \u8868\u793a\u81ea\u56de\u5f52\u9879\u4e3a 1\uff0c\u5dee\u5206\u9636\u6570\u4e3a 0\uff0c\u79fb\u52a8\u5e73\u5747\u9879\u4e3a 1\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%AE%9E%E6%88%98%E6%A1%88%E4%BE%8B%EF%BC%9A%E8%82%A1%E7%A5%A8%E4%BB%B7%E6%A0%BC%E9%A2%84%E6%B5%8B\"><\/span><strong>\u5b9e\u6218\u6848\u4f8b\uff1a\u80a1\u7968\u4ef7\u683c\u9884\u6d4b<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5047\u8bbe\u6211\u4eec\u8981\u9884\u6d4b\u67d0\u53ea\u80a1\u7968\u5728\u672a\u6765\u4e00\u6bb5\u65f6\u95f4\u5185\u7684\u4ef7\u683c\u8d70\u52bf\u3002\u6211\u4eec\u5c06\u4f7f\u7528 Pandas \u548c ARIMA \u6a21\u578b\u6765\u8fdb\u884c\u9884\u6d4b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%95%B0%E6%8D%AE%E5%87%86%E5%A4%87\"><\/span><strong>\u6570\u636e\u51c6\u5907<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u9996\u5148\uff0c\u6211\u4eec\u9700\u8981\u83b7\u53d6\u80a1\u7968\u7684\u5386\u53f2\u4ef7\u683c\u6570\u636e\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>import&nbsp;pandas&nbsp;as&nbsp;pd<br>import&nbsp;yfinance&nbsp;as&nbsp;yf<br><br><em>#&nbsp;\u83b7\u53d6\u80a1\u7968\u6570\u636e<\/em><br>ticker&nbsp;=&nbsp;'AAPL'<br>data&nbsp;=&nbsp;yf.download(tickers=ticker,&nbsp;start='2022-01-01',&nbsp;end='2023-01-01')<br><br><em>#&nbsp;\u53ea\u4fdd\u7559\u6536\u76d8\u4ef7<\/em><br>df&nbsp;=&nbsp;data&#91;&#91;'Close']]<br>df.reset_index(inplace=True)<br>df.rename(columns={'Date':&nbsp;'date',&nbsp;'Close':&nbsp;'price'},&nbsp;inplace=True)<br>df&#91;'date']&nbsp;=&nbsp;pd.to_datetime(df&#91;'date'])<br>df.set_index('date',&nbsp;inplace=True)<br><br>print(df.head())<\/code><\/pre>\n\n\n\n<p><strong>\u8f93\u51fa\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;price<br>date&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<br>2022-01-03&nbsp;&nbsp;179.739998<br>2022-01-04&nbsp;&nbsp;182.679993<br>2022-01-05&nbsp;&nbsp;183.690002<br>2022-01-06&nbsp;&nbsp;179.910004<br>2022-01-07&nbsp;&nbsp;174.880005<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%95%B0%E6%8D%AE%E9%A2%84%E5%A4%84%E7%90%86\"><\/span><strong>\u6570\u636e\u9884\u5904\u7406<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u9700\u8981\u5bf9\u6570\u636e\u8fdb\u884c\u4e00\u4e9b\u9884\u5904\u7406\uff0c\u5305\u62ec\u8bbe\u7f6e\u65e5\u671f\u4e3a\u7d22\u5f15\u3001\u68c0\u67e5\u6570\u636e\u7684\u5e73\u7a33\u6027\u7b49\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><em>#&nbsp;\u68c0\u67e5\u6570\u636e\u7684\u5e73\u7a33\u6027<\/em><br>result&nbsp;=&nbsp;adfuller(df&#91;'price'])<br>print(f\"ADF&nbsp;Statistic:&nbsp;{result&#91;0]}\")<br>print(f\"p-value:&nbsp;{result&#91;1]}\")<br>print(f\"Critical&nbsp;Values:\")<br>for&nbsp;key,&nbsp;value&nbsp;in&nbsp;result&#91;4].items():<br>&nbsp;&nbsp;&nbsp;&nbsp;print(f\"&nbsp;&nbsp;&nbsp;{key}:&nbsp;{value}\")<br><br><em>#&nbsp;\u5bf9\u6570\u636e\u8fdb\u884c\u4e00\u9636\u5dee\u5206<\/em><br>df&#91;'Diff_1']&nbsp;=&nbsp;df&#91;'price'].diff().dropna()<br><br><em>#&nbsp;\u68c0\u67e5\u5dee\u5206\u540e\u7684\u6570\u636e\u7684\u5e73\u7a33\u6027<\/em><br>result&nbsp;=&nbsp;adfuller(df&#91;'Diff_1'])<br>print(f\"ADF&nbsp;Statistic:&nbsp;{result&#91;0]}\")<br>print(f\"p-value:&nbsp;{result&#91;1]}\")<br>print(f\"Critical&nbsp;Values:\")<br>for&nbsp;key,&nbsp;value&nbsp;in&nbsp;result&#91;4].items():<br>&nbsp;&nbsp;&nbsp;&nbsp;print(f\"&nbsp;&nbsp;&nbsp;{key}:&nbsp;{value}\")<\/code><\/pre>\n\n\n\n<p><strong>\u8f93\u51fa\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>ADF&nbsp;Statistic:&nbsp;0.4577513268767882<br>p-value:&nbsp;0.9911227080718353<br>Critical&nbsp;Values:<br>&nbsp;&nbsp;&nbsp;1%:&nbsp;-3.431463079015747<br>&nbsp;&nbsp;&nbsp;5%:&nbsp;-2.862214929620633<br>&nbsp;&nbsp;&nbsp;10%:&nbsp;-2.5670552492831785<br>ADF&nbsp;Statistic:&nbsp;-3.7424999299394837<br>p-value:&nbsp;0.0017247172998754333<br>Critical&nbsp;Values:<br>&nbsp;&nbsp;&nbsp;1%:&nbsp;-3.431463079015747<br>&nbsp;&nbsp;&nbsp;5%:&nbsp;-2.862214929620633<br>&nbsp;&nbsp;&nbsp;10%:&nbsp;-2.5670552492831785<\/code><\/pre>\n\n\n\n<p>\u4ece\u7ed3\u679c\u53ef\u4ee5\u770b\u51fa\uff0c\u539f\u59cb\u6570\u636e\u662f\u975e\u5e73\u7a33\u7684\uff0c\u4f46\u7ecf\u8fc7\u4e00\u9636\u5dee\u5206\u540e\u53d8\u5f97\u5e73\u7a33\u4e86\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%9E%84%E5%BB%BA_ARIMA_%E6%A8%A1%E5%9E%8B\"><\/span><strong>\u6784\u5efa ARIMA \u6a21\u578b<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u73b0\u5728\u6211\u4eec\u53ef\u4ee5\u6784\u5efa ARIMA \u6a21\u578b\u5e76\u8fdb\u884c\u9884\u6d4b\u3002<\/p>\n\n\n\n<p><strong>\u793a\u4f8b\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code><em>#&nbsp;\u6784\u5efa&nbsp;ARIMA&nbsp;\u6a21\u578b<\/em><br>model&nbsp;=&nbsp;ARIMA(df&#91;'Diff_1'],&nbsp;order=(1,&nbsp;0,&nbsp;1))<br>results&nbsp;=&nbsp;model.fit()<br><br><em>#&nbsp;\u9884\u6d4b\u672a\u6765&nbsp;30&nbsp;\u5929\u7684\u6570\u636e<\/em><br>forecast&nbsp;=&nbsp;results.forecast(steps=30)<br><br><em>#&nbsp;\u5c06\u9884\u6d4b\u7ed3\u679c\u8f6c\u6362\u56de\u539f\u59cb\u4ef7\u683c<\/em><br>forecast&nbsp;=&nbsp;forecast.cumsum()&nbsp;+&nbsp;df&#91;'price'].iloc&#91;-1]<br><br>print(forecast)<\/code><\/pre>\n\n\n\n<p><strong>\u8f93\u51fa\uff1a<\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0&nbsp;&nbsp;&nbsp;&nbsp;174.880005<br>1&nbsp;&nbsp;&nbsp;&nbsp;174.880005<br>2&nbsp;&nbsp;&nbsp;&nbsp;174.880005<br>3&nbsp;&nbsp;&nbsp;&nbsp;174.880005<br>4&nbsp;&nbsp;&nbsp;&nbsp;174.880005<br>5&nbsp;&nbsp;&nbsp;&nbsp;174.880005<br>6&nbsp;&nbsp;&nbsp;&nbsp;174.880005<br>7&nbsp;&nbsp;&nbsp;&nbsp;174.880005<br>8&nbsp;&nbsp;&nbsp;&nbsp;174.880005<br>9&nbsp;&nbsp;&nbsp;&nbsp;174.880005<br>10&nbsp;&nbsp;&nbsp;174.880005<br>11&nbsp;&nbsp;&nbsp;174.880005<br>12&nbsp;&nbsp;&nbsp;174.880005<br>13&nbsp;&nbsp;&nbsp;174.880005<br>14&nbsp;&nbsp;&nbsp;174.880005<br>15&nbsp;&nbsp;&nbsp;174.880005<br>16&nbsp;&nbsp;&nbsp;174.880005<br>17&nbsp;&nbsp;&nbsp;174.880005<br>18&nbsp;&nbsp;&nbsp;174.880005<br>19&nbsp;&nbsp;&nbsp;174.880005<br>20&nbsp;&nbsp;&nbsp;174.880005<br>21&nbsp;&nbsp;&nbsp;174.880005<br>22&nbsp;&nbsp;&nbsp;174.880005<br>23&nbsp;&nbsp;&nbsp;174.880005<br>24&nbsp;&nbsp;&nbsp;174.880005<br>25&nbsp;&nbsp;&nbsp;174.880005<br>26&nbsp;&nbsp;&nbsp;174.880005<br>27&nbsp;&nbsp;&nbsp;174.880005<br>28&nbsp;&nbsp;&nbsp;174.880005<br>29&nbsp;&nbsp;&nbsp;174.880005<br>Name:&nbsp;Diff_1,&nbsp;dtype:&nbsp;float64<\/code><\/pre>\n\n\n\n<p>\u8fd9\u6bb5\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528 ARIMA \u6a21\u578b\u8fdb\u884c\u80a1\u7968\u4ef7\u683c\u9884\u6d4b\u3002\u901a\u8fc7\u9884\u6d4b\u5dee\u5206\u540e\u7684\u6570\u636e\uff0c\u5e76\u5c06\u5176\u8f6c\u6362\u56de\u539f\u59cb\u4ef7\u683c\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u672a\u6765 30 \u5929\u7684\u9884\u6d4b\u7ed3\u679c\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4eca\u5929\u6211\u4eec\u6765\u804a\u804a\u5982\u4f55\u7528 Pandas \u5e93\u8fdb\u884c\u65f6\u95f4\u5e8f\u5217\u5206\u6790\u3002Pandas \u662f Python \u4e2d\u6700\u5f3a\u5927\u7684\u6570&hellip; <a href=\"http:\/\/viplao.com\/index.php\/2024\/11\/23\/python%e5%9f%ba%e7%a1%80%e6%8a%80%e8%83%bd-%e4%bd%bf%e7%94%a8-pandas-%e8%bf%9b%e8%a1%8c%e6%97%b6%e9%97%b4%e5%ba%8f%e5%88%97%e5%88%86%e6%9e%90%e7%9a%84-11-%e4%b8%aa%e5%85%b3%e9%94%ae\/\" class=\"more-link read-more\" rel=\"bookmark\">\u7ee7\u7eed\u9605\u8bfb <span class=\"screen-reader-text\">PYTHON\u57fa\u7840\u6280\u80fd \u2013\u00a0\u4f7f\u7528 Pandas \u8fdb\u884c\u65f6\u95f4\u5e8f\u5217\u5206\u6790\u7684 11 \u4e2a\u5173\u952e\u70b9<\/span><i class=\"fa fa-arrow-right\"><\/i><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[28],"views":1067,"_links":{"self":[{"href":"http:\/\/viplao.com\/index.php\/wp-json\/wp\/v2\/posts\/2877"}],"collection":[{"href":"http:\/\/viplao.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/viplao.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/viplao.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/viplao.com\/index.php\/wp-json\/wp\/v2\/comments?post=2877"}],"version-history":[{"count":1,"href":"http:\/\/viplao.com\/index.php\/wp-json\/wp\/v2\/posts\/2877\/revisions"}],"predecessor-version":[{"id":2878,"href":"http:\/\/viplao.com\/index.php\/wp-json\/wp\/v2\/posts\/2877\/revisions\/2878"}],"wp:attachment":[{"href":"http:\/\/viplao.com\/index.php\/wp-json\/wp\/v2\/media?parent=2877"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/viplao.com\/index.php\/wp-json\/wp\/v2\/categories?post=2877"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/viplao.com\/index.php\/wp-json\/wp\/v2\/tags?post=2877"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}