{"id":1237,"date":"2025-07-16T16:02:57","date_gmt":"2025-07-16T08:02:57","guid":{"rendered":"http:\/\/heqiwei.cn\/?p=1237"},"modified":"2025-07-16T16:02:57","modified_gmt":"2025-07-16T08:02:57","slug":"%e6%95%b0%e5%ad%a6%e5%bb%ba%e6%a8%a1-%e7%81%b0%e8%89%b2%e5%85%b3%e8%81%94%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/heqiwei.cn\/index.php\/2025\/07\/16\/%e6%95%b0%e5%ad%a6%e5%bb%ba%e6%a8%a1-%e7%81%b0%e8%89%b2%e5%85%b3%e8%81%94%e5%88%86%e6%9e%90\/","title":{"rendered":"\u6570\u5b66\u5efa\u6a21\u2014\u2014\u7070\u8272\u5173\u8054\u5206\u6790"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u95ee\u9898\u5f15\u5165<\/h2>\n\n\n\n<p>\u8fd1\u5e74\u6765\uff0c\u6211\u56fd\u7ed3\u5a5a\u7387\u9010\u5e74\u4e0b\u964d\uff0c\u73b0\u5728\u9700\u8981\u63a2\u7a76\u5bfc\u81f4\u5e74\u8f7b\u4eba\u4e0d\u613f\u7ed3\u5a5a\u7684\u4e3b\u8981\u539f\u56e0\uff0c\u5177\u4f53\u6570\u636e\uff08\u865a\u6784\uff09\u5982\u4e0b\uff1a<\/p>\n\n\n\n<!DOCTYPE html>\n<html lang=\"zh-CN\">\n\n<head>\n    <meta charset=\"UTF-8\">\n    <style>\n        table {\n            border-collapse: collapse;\n            width: 100%;\n            background-color: transparent;\n        }\n\n        th,\n        td {\n            border: 1px solid #000;\n            text-align: center;\n            vertical-align: middle;\n            padding: 8px;\n        }\n    <\/style>\n<\/head>\n\n<body>\n    <table>\n        <thead>\n            <tr>\n                <th>\u5e74\u4efd<\/th>\n                <th>\u7ed3\u5a5a\u5bf9\u6570<\/th>\n                <th>\u623f\u4ef7<\/th>\n                <th>\u4eba\u5747\u6536\u5165<\/th>\n                <th>\u5973\u6027\u5931\u4e1a\u6570<\/th>\n            <\/tr>\n        <\/thead>\n        <tbody>\n            <tr>\n                <td>2017<\/td>\n                <td>3806<\/td>\n                <td>398<\/td>\n                <td>850<\/td>\n                <td>1352<\/td>\n            <\/tr>\n            <tr>\n                <td>2018<\/td>\n                <td>3356<\/td>\n                <td>455<\/td>\n                <td>846<\/td>\n                <td>1268<\/td>\n            <\/tr>\n            <tr>\n                <td>2019<\/td>\n                <td>2750<\/td>\n                <td>482<\/td>\n                <td>960<\/td>\n                <td>1010<\/td>\n            <\/tr>\n            <tr>\n                <td>2020<\/td>\n                <td>2335<\/td>\n                <td>422<\/td>\n                <td>900<\/td>\n                <td>953<\/td>\n            <\/tr>\n            <tr>\n                <td>2021<\/td>\n                <td>2061<\/td>\n                <td>561<\/td>\n                <td>1024<\/td>\n                <td>808<\/td>\n            <\/tr>\n            <tr>\n                <td>2022<\/td>\n                <td>1988<\/td>\n                <td>511<\/td>\n                <td>1100<\/td>\n                <td>763<\/td>\n            <\/tr>\n        <\/tbody>\n    <\/table>\n<\/body>\n\n<\/html>\n\n\n\n<h3 class=\"wp-block-heading\">\u6570\u636e\u9884\u5904\u7406<\/h3>\n\n\n\n<p>\u901a\u8fc7\u9884\u5904\u7406\u6765\u6d88\u9664\u91cf\u7eb2\u3002\u6b64\u5904\u5bf9\u6bcf\u4e2a\u6307\u6807\u4e2d\u7684\u5143\u7d20\uff0c\u5c06\u5176\u9664\u4ee5\u8be5\u6307\u6807\u7684\u5747\u503c\uff0c\u5f97\u5230\u65b0\u6570\u636e\u5982\u4e0b\uff1a<\/p>\n\n\n\n<!DOCTYPE html>\n<html lang=\"zh-CN\">\n\n<head>\n    <meta charset=\"UTF-8\">\n    <style>\n        table {\n            border-collapse: collapse;\n            width: 100%;\n        }\n\n        th,\n        td {\n            border: 1px solid #000;\n            text-align: center;\n            vertical-align: middle;\n            padding: 8px;\n            background-color: transparent;\n        }\n    <\/style>\n<\/head>\n\n<body>\n    <table>\n        <thead>\n            <tr>\n                <th>\u5e74\u4efd<\/th>\n                <th>\u7ed3\u5a5a\u5bf9\u6570<\/th>\n                <th>\u623f\u4ef7<\/th>\n                <th>\u4eba\u5747\u6536\u5165<\/th>\n                <th>\u5973\u6027\u5931\u4e1a\u6570<\/th>\n            <\/tr>\n        <\/thead>\n        <tbody>\n            <tr>\n                <td>2017<\/td>\n                <td>1.4013<\/td>\n                <td>0.8441<\/td>\n                <td>0.8979<\/td>\n                <td>1.3182<\/td>\n            <\/tr>\n            <tr>\n                <td>2018<\/td>\n                <td>1.2356<\/td>\n                <td>0.9650<\/td>\n                <td>0.8937<\/td>\n                <td>1.2363<\/td>\n            <\/tr>\n            <tr>\n                <td>2019<\/td>\n                <td>1.0125<\/td>\n                <td>1.0223<\/td>\n                <td>1.0141<\/td>\n                <td>0.9847<\/td>\n            <\/tr>\n            <tr>\n                <td>2020<\/td>\n                <td>0.8597<\/td>\n                <td>0.8950<\/td>\n                <td>0.9507<\/td>\n                <td>0.9292<\/td>\n            <\/tr>\n            <tr>\n                <td>2021<\/td>\n                <td>0.7588<\/td>\n                <td>1.1898<\/td>\n                <td>1.0817<\/td>\n                <td>0.7878<\/td>\n            <\/tr>\n            <tr>\n                <td>2022<\/td>\n                <td>0.7320<\/td>\n                <td>1.0838<\/td>\n                <td>1.1620<\/td>\n                <td>0.7439<\/td>\n            <\/tr>\n        <\/tbody>\n    <\/table>\n<\/body>\n\n<\/html>\n\n\n\n<h3 class=\"wp-block-heading\">\u786e\u5b9a\u5206\u6790\u5e8f\u5217<\/h3>\n\n\n\n<p>\u53c2\u8003\u6570\u5217(\u6bcd\u5e8f\u5217)\uff1a\u80fd\u53cd\u6620\u7cfb\u7edf\u884c\u4e3a\u7279\u5f81\u7684\u6570\u636e\u5e8f\u5217\u3002\u8bb0\u4f5c[math]x_0[\/math] <br>\u6bd4\u8f83\u6570\u5217(\u5b50\u5e8f\u5217)\uff1a\u5f71\u54cd\u7cfb\u7edf\u884c\u4e3a\u7684\u56e0\u7d20\u7ec4\u6210\u7684\u6570\u636e\u5e8f\u5217\u3002\u8bb0\u4f5c[math]x_i(i = 1, 2, &#8230;, n)[\/math] <\/p>\n\n\n\n<p>\u4f8b\u5982\u7ed3\u5a5a\u7387\u5c31\u662f\u53c2\u8003\u6570\u5217\uff0c\u623f\u4ef7\u3001\u4eba\u5747\u6536\u5165\u3001\u5973\u6027\u5931\u4e1a\u6570\u5c31\u662f\u6bd4\u8f83\u6570\u5217\u3002<br>\u53ef\u4ee5\u8fd9\u6837\u7406\u89e3\uff0c\u53c2\u8003\u6570\u5217\u5c31\u7c7b\u4f3c\u4e8e\u56e0\u53d8\u91cf[math]y[\/math]\uff0c\u6bd4\u8f83\u6570\u5217\u662f\u81ea\u53d8\u91cf[math]x[\/math]\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u786e\u5b9a\u7070\u8272\u5173\u8054\u7cfb\u6570<\/h3>\n\n\n\n<p>\u5b9a\u4e49\u4e24\u7ea7\u6700\u5c0f\u5dee [math] a = \\min\\limits_s \\min\\limits_t \\vert x_0 (t) &#8211; x_s (t) \\vert [\/math]\uff0c\u4e24\u7ea7\u6700\u5927\u5dee [math] b = \\max\\limits_s \\max\\limits_t \\vert x_0 (t) &#8211; x_s (t) \\vert [\/math] \u3002<br>\u901a\u4fd7\u6765\u8bf4\uff0c\u5c31\u662f\u5206\u522b\u7528\u8868\u683c\u6bcf\u4e00\u884c\u7684[math]x_0 &#8211; x_i[\/math]\uff0c\u7136\u540e\u627e\u51fa\u7ed3\u679c\u7684\u6700\u5927\u4e0e\u6700\u5c0f\u503c\u3002<\/p>\n\n\n\n<table border=\"1\" cellpadding=\"4\" cellspacing=\"0\" style=\"text-align: center; vertical-align: middle; background-color: transparent;\">\n  <thead>\n    <tr>\n      <th style=\"text-align: center; vertical-align: middle;\"><\/th>\n      <th style=\"text-align: center; vertical-align: middle;\">[math]x_0[\/math]\uff08\u7ed3\u5a5a\u5bf9\u6570\uff09<\/th>\n      <th style=\"text-align: center; vertical-align: middle;\">[math]x_1[\/math]\uff08\u623f\u4ef7\uff09<\/th>\n      <th style=\"text-align: center; vertical-align: middle;\">[math]x_2[\/math]\uff08\u4eba\u5747\u6536\u5165\uff09<\/th>\n      <th style=\"text-align: center; vertical-align: middle;\">[math]x_3[\/math]\uff08\u5973\u6027\u5931\u4e1a\u6570\uff09<\/th>\n    <\/tr>\n  <\/thead>\n  <tbody>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2017<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">1.4013<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.8441<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.8979<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">1.3182<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2018<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">1.2356<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.9650<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.8937<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">1.2363<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2019<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">1.0125<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">1.0223<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">1.0141<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.9847<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2020<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.8597<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.8950<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.9507<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.9292<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2021<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.7588<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">1.1898<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">1.0817<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.7878<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2022<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.7320<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">1.0838<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">1.1620<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.7439<\/td>\n    <\/tr>\n  <\/tbody>\n<\/table>\n\n\n\n<p>\u5f97\u5230[math]a[\/math]\u548c[math]b[\/math]\u540e\uff0c\u518d\u5bf9\u4e0a\u8868\u4e2d\u7684\u6bcf\u4e00\u4e2a\u5143\u7d20\u5b9a\u4e49[math]\\gamma(x_0(k), x_i(k)) = \\frac{a + \\rho b}{\\vert x_0(k) &#8211; x_i(k) \\vert + \\rho b}[\/math]\uff0c\u5176\u4e2d[math]\\rho[\/math]\u79f0\u4e3a\u5206\u8fa8\u7cfb\u6570\uff0c\u4e00\u822c\u53d6\u503c\u4e3a[math]0.5[\/math]\u3002<\/p>\n\n\n\n<table border=\"1\" cellpadding=\"4\" cellspacing=\"0\" style=\"text-align: center; vertical-align: middle; background-color: transparent;\">\n  <thead>\n    <tr>\n      <th style=\"text-align: center; vertical-align: middle;\"><\/th>\n      <th style=\"text-align: center; vertical-align: middle;\">[math]\\gamma(x_0,x_1)[\/math]<\/th>\n      <th style=\"text-align: center; vertical-align: middle;\">[math]\\gamma(x_0,x_2)[\/math]<\/th>\n      <th style=\"text-align: center; vertical-align: middle;\">[math]\\gamma(x_0,x_3)[\/math]<\/th>\n    <\/tr>\n  <\/thead>\n  <tbody>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2017<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.3341<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.3571<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.7719<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2018<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.5084<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.4500<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">1.0000<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2019<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.9684<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.9967<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.9113<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2020<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.8896<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.7555<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.8023<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2021<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.3935<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.4643<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.9079<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2022<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.4429<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.3941<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.9610<\/td>\n    <\/tr>\n  <\/tbody>\n<\/table>\n\n\n\n<p>\u5c06\u5404\u6307\u6807\u53d6\u5e73\u5747\u503c\u4f5c\u4e3a\u8be5\u5e8f\u5217\u7684\u7070\u8272\u5173\u8054\u5ea6\uff0c\u5373 [math]\\gamma (x_0, x_i) = \\frac {1}{n} \\sum_{k=1}^{n} \\gamma (x_0 (k), x_i (k))[\/math] \u3002<\/p>\n\n\n\n<table border=\"1\" cellpadding=\"4\" cellspacing=\"0\" style=\"text-align: center; vertical-align: middle; background-color: transparent;\">\n  <thead>\n    <tr>\n      <th style=\"text-align: center; vertical-align: middle;\"><\/th>\n      <th style=\"text-align: center; vertical-align: middle;\">[math]\\gamma(x_0,x_1)[\/math]<\/th>\n      <th style=\"text-align: center; vertical-align: middle;\">[math]\\gamma(x_0,x_2)[\/math]<\/th>\n      <th style=\"text-align: center; vertical-align: middle;\">[math]\\gamma(x_0,x_3)[\/math]<\/th>\n    <\/tr>\n  <\/thead>\n  <tbody>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2017<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.3341<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.3571<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.7719<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2018<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.5084<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.4500<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">1.0000<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2019<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.9684<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.9967<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.9113<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2020<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.8896<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.7555<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.8023<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2021<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.3935<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.4643<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.9079<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">2022<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.4429<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.3941<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.9610<\/td>\n    <\/tr>\n    <tr>\n      <td style=\"text-align: center; vertical-align: middle;\">\u7070\u8272\u5173\u8054\u5ea6<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.5895<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.5696<\/td>\n      <td style=\"text-align: center; vertical-align: middle;\">0.8924<\/td>\n    <\/tr>\n  <\/tbody>\n<\/table>\n\n\n\n<p>\u6700\u7ec8\u901a\u8fc7\u7070\u8272\u5173\u8054\u5ea6\u5927\u5c0f\u6765\u5224\u65ad\u6bcd\u5e8f\u5217\u4e0e\u5b50\u5e8f\u5217\u7684\u76f8\u5173\u6027\u3002\u6709\u8868\u53ef\u77e5\uff0c[math]x_0[\/math]\u4e0e[math]x_3[\/math]\u7684\u5173\u8054\u5ea6\u6700\u5927\uff0c\u5373\u5e74\u8f7b\u4eba\u4e0d\u613f\u7ed3\u5a5a\u4e0e\u5973\u6027\u5a5a\u540e\u5931\u4e1a\u7684\u98ce\u9669\u6709\u6781\u5927\u7684\u76f8\u5173\u6027\uff0c\u5176\u6b21\u5c31\u662f\u623f\u4ef7\u56e0\u7d20\u5bf9\u5e74\u8f7b\u4eba\u7ed3\u5a5a\u4e5f\u6709\u8f83\u5927\u7684\u5f71\u54cd\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u7070\u8272\u5173\u8054\u5206\u6790\u7684\u5b9a\u4e49<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u6982\u8ff0<\/h3>\n\n\n\n<p>\u7070\u8272\u5173\u8054\u5206\u6790\u662f\u7528\u6765\u786e\u5b9a\u4e00\u4e2a\u7cfb\u7edf\u4e2d\uff0c\u54ea\u4e9b\u56e0\u7d20\u662f\u4e3b\u8981\u56e0\u7d20\uff0c\u54ea\u4e9b\u662f\u6b21\u8981\u56e0\u7d20\uff0c\u54ea\u4e9b\u5bf9\u7cfb\u7edf\u53d1\u5c55\u5f71\u54cd\u5927\uff0c\u54ea\u4e9b\u56e0\u7d20\u5bf9\u7cfb\u7edf\u53d1\u5c55\u5f71\u54cd\u5c0f\u3002\u4ece\u800c\u8fdb\u884c\u7cfb\u7edf\u5206\u6790\uff0c\u5f3a\u5316\u63a8\u52a8\u56e0\u7d20\uff0c\u6291\u5236\u963b\u788d\u56e0\u7d20\u3002<\/p>\n\n\n\n<p>\u5b83\u7684\u539f\u7406\u53ef\u4ee5\u901a\u4fd7\u5730\u7406\u89e3\u6210\uff0c\u6839\u636e<mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color 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