{"id":39537,"date":"2011-09-19T10:50:29","date_gmt":"2011-09-19T02:50:29","guid":{"rendered":"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/?p=39537"},"modified":"2021-10-06T16:22:47","modified_gmt":"2021-10-06T08:22:47","slug":"%e5%a4%a7%e6%95%b8%e6%b3%95%e5%89%87%ef%bc%881%ef%bc%89%e6%95%b8%e5%a4%a7%e4%be%bf%e6%98%af%e7%be%8e%ef%bc%88everything-becomes-beautiful-when-amount-is-plenty%ef%bc%89","status":"publish","type":"post","link":"http:\/\/localhost\/%e5%a4%a7%e6%95%b8%e6%b3%95%e5%89%87%ef%bc%881%ef%bc%89%e6%95%b8%e5%a4%a7%e4%be%bf%e6%98%af%e7%be%8e%ef%bc%88everything-becomes-beautiful-when-amount-is-plenty%ef%bc%89\/","title":{"rendered":"\u5927\u6578\u6cd5\u5247\uff081\uff09\u6578\u5927\u4fbf\u662f\u7f8e\uff08Everything becomes beautiful when amount is plenty\uff09"},"content":{"rendered":"

\u5927\u6578\u6cd5\u5247\uff081\uff09\u6578\u5927\u4fbf\u662f\u7f8e\uff08Law of large numbers-1. Everything becomes beautiful when amount is plenty\uff09<\/span>
\n\u570b\u7acb\u9ad8\u96c4\u5927\u5b78\u61c9\u7528\u6578\u5b78\u7cfb\u9ec3\u6587\u748b\u6559\u6388\/\u570b\u7acb\u9ad8\u96c4\u5927\u5b78\u61c9\u7528\u6578\u5b78\u7cfb\u9ec3\u6587\u748b\u6559\u6388\u8cac\u4efb\u7de8\u8f2f<\/span><\/strong><\/p>\n

\u6458\u8981\uff1a\u9019\u662f\u4e00\u7cfb\u5217\u95dc\u65bc\u300c\u5927\u6578\u6cd5\u5247(law\u00a0of large numbers)\u300d\u6587\u7ae0\u7684\u7b2c\u4e00\u7bc7\uff0c\u9019\u88e1\u5f15\u7528\u5f90\u5fd7\u6469\u300c\u6578\u5927\u4fbf\u662f\u7f8e\u300d\u4e00\u6587\uff0c\u8aaa\u660e\u81ea\u7136\u754c\u7684\u96a8\u6a5f\u73fe\u8c61\u5176\u5be6\u9075\u5faa\u8457\u67d0\u4e9b\u898f\u5f8b\u3001\u6cd5\u5247\u3002<\/strong><\/p>\n

\u5f90\u5fd7\u6469\u7684\u6563\u6587\uff0c\u5f88\u591a\u4eba\u4e2d\u5b78\u6642\u4ee3\u90fd\u8b80\u904e\uff0c\u81be\u7099\u4eba\u53e3\u7684\u4f5c\u54c1\u5be6\u5728\u4e0d\u5c11\u3002\u4ed6\u7684\u6709\u4e9b\u53e5\u5b50\u5f8c\u4f86\u5e38\u88ab\u5f15\u7528\uff0c\u301d\u6578\u5927\u4fbf\u662f\u7f8e\u301e\u662f\u5176\u4e2d\u4e4b\u4e00\u3002\u6211\u5011\u7bc0\u9304\u539f\u4f86\u6587\u7ae0\u5982\u4e0b\uff1a<\/p>\n

\u6578\u5927\u4fbf\u662f\u7f8e<\/p>\n

\u5f90\u5fd7\u6469\u65e5\u8a18\u897f\u6e56\u8a18<\/p>\n

\u6578\u5927\u4fbf\u662f\u7f8e\uff0c\u78a7\u7da0\u7684\u5c71\u5761\u524d\u5e7e\u5343\u96bb\u7dbf\u7f8a\uff0c\u6328\u6210\u4e00\u7247\u7684\u96ea\u7d68\uff0c\u662f\u7f8e\uff1b
\n\u4e00\u5929\u7684\u7e41\u661f\uff0c\u5343\u842c\u96bb\u9583\u4eae\u7684\u773c\u795e\uff0c\u5f9e\u7121\u6975\u7684\u85cd\u7a7a\u4e2d\u4e0b\u7aba\u5927\u5730\uff0c\u662f\u7f8e\uff1b
\n\u6cf0\u5c71\u9802\u4e0a\u7684\u96f2\u6d77\uff0c\u5de8\u842c\u7684\u96f2\u5cf0\u5728\u6668\u5149\u88cf\u975c\u5b9a\u8457\uff0c\u662f\u7f8e\uff1b<\/p>\n

\u2027\u2027\u2027<\/p>\n

\u6578\u5927\u4fbf\u662f\u7f8e\u3002
\n\u6578\u5927\u4e86\u4f3c\u4e4e\u6309\u7167\u8457\u4e00\u7a2e\u81ea\u7136\u5f8b\uff0c
\n\u81ea\u7136\u7684\u6703\u6709\u4e00\u7a2e\u7279\u5225\u7684\u6392\u5217\uff0c\u4e00\u7a2e\u7279\u5225\u7684\u7bc0\u594f\uff0c\u4e00\u7a2e\u7279\u6b8a\u7684\u5f0f\u6a23\uff0c
\n\u6fc0\u52d5\u6211\u5011\u5be9\u7f8e\u7684\u672c\u80fd\uff0c\u6fc0\u767c\u6211\u5011\u5be9\u7f8e\u7684\u60c5\u7dd2\u3002<\/p>\n

\u6240\u4ee5\uff0c\u897f\u6e56\u7684\u8606\u837b\uff0c\u8207\u82b1\u5862\u7684\u7af9\u6797\uff0c
\n\u4e5f\u7121\u975e\u662f\u4e00\u7a2e\u6578\u5927\u7684\u7f8e\uff0c\u4e0d\u662f\u667a\u529b\u53ef\u4ee5\u5206\u6790\u7684<\/p>\n

\u2027\u2027\u2027<\/p>\n

\u5f90\u5fd7\u6469\u8209\u4e86\u597d\u5e7e\u500b\u81ea\u7136\u754c\u7684\u73fe\u8c61\uff0c\u4f86\u63cf\u8ff0\u6578\u5927\u4fbf\u662f\u7f8e\uff0c\u5f15\u8d77\u5f88\u591a\u4eba\u7684\u5171\u9cf4\u3002\u66fe\u5728\u4e00\u90e8\u843d\u683c(blog)\u4e2d\uff0c\u770b\u5230\u4e00\u7bc7\u6a19\u984c\u70ba\u301d\u661f\u5df4\u514b\u5c0f\u718a\u4e4b\u6578\u5927\u5c31\u662f\u7f8e\u301e\u7684\u6587\u7ae0\uff0c\u5176\u4e2d\u5e95\u4e0b\u6709\u4e00\u6bb5\u8a71\uff1a<\/p>\n

\u70ba\u4f55\u8aaa\u6578\u5927\u5c31\u662f\u7f8e\u5462\uff1f\u9019\u662f\u56e0\u70ba\u4e26\u4e0d\u662f\u6bcf\u4e00\u96bb\u5c0f\u718a\u90fd\u53ef\u611b\u3002
\n\u6709\u6642\u7576\u6211\u8cb7\u718a\u6642\uff0c\u65c1\u908a\u7684\u4eba\u90fd\u8aaa\u9019\u96bb\u597d\u919c\u5594\uff01\u4f46\u662f\u6211\u9084\u662f\u4e0d\u504f\u5fc3\u7684\u8cb7\u56de\u5bb6\u3002
\n\u6211\u76f8\u4fe1\u8490\u96c6\u8d77\u4f86\u4e00\u5806\u718a\uff0c\u4e00\u5b9a\u5f88\u6709\u6210\u5c31\u611f\u3002
\n\u73fe\u5728\u7b2c\u4e03\u96bb\u7684\u52a0\u5165\u5f8c\uff0c\u679c\u7136\u8072\u52e2\u6d69\u5927\uff0c\u5c31\u50cf\u4ee5\u524d\u8ab2\u672c\u5beb\u7684\u301d\u6578\u5927\u5c31\u662f\u7f8e\u301e\uff0c\u679c\u7136\u6c92\u932f\u3002<\/p>\n

\u5f90\u5fd7\u6469\u7684\u6578\u5927\u4fbf\u662f\u7f8e\uff0c\u5e38\u88ab\u5beb\u6210\u301d\u6578\u5927\u5c31\u662f\u7f8e\u301e\u3002\u5f88\u591a\u6642\u5019\u6578\u91cf\u4e00\u5927\uff0c\u7684\u78ba\u6703\u8b93\u4eba\u7522\u751f\u67d0\u7a2e\u7279\u5225\u7684\u770b\u6cd5\u3002\u5373\u4f7f\u9023\u4e03\u96bb\u919c\u5c0f\u718a\uff0c\u90fd\u6709\u4eba\u53ef\u611f\u53d7\u5230\u6578\u5927\u7684\u7f8e\u3002\u5f90\u5fd7\u6469\u8a8d\u70ba\u301d\u6578\u5927\u4e86\u4f3c\u4e4e\u6309\u7167\u8457\u4e00\u7a2e\u81ea\u7136\u5f8b\u301e\u3002<\/p>\n

\u81ea\u53e4\u4ee5\u4f86\uff0c\u4eba\u5011\u4fbf\u5e38\u6ce8\u610f\u5230\uff0c\u5b87\u5b99\u88e1\u5404\u7a2e\u96a8\u6a5f\u73fe\u8c61\uff0c\u96d6\u770b\u8d77\u4f86\u50cf\u662f\u96dc\u4e82\u7121\u7ae0\uff0c\u4f46\u537b\u4f3c\u4e4e\u9075\u5faa\u67d0\u4e9b\u898f\u5f8b\u5728\u904b\u8f49\u3002\u96d6\u7136\u9019\u4e0d\u662f\u301d\u6578\u5927\u4fbf\u662f\u7f8e\u301e\u6240\u80fd\u8cbc\u5207\u5730\u63cf\u8ff0\uff0c\u4f46\u7684\u78ba\u662f\u5982\u5f90\u5fd7\u6469\u6240\u8aaa\u7684\uff0c\u6578\u5927\u5f8c\u5e38\u6703\u6309\u7167\u67d0\u4e00\u7a2e\u81ea\u7136\u5f8b\u3002<\/p>\n

\u5728\u96a8\u6a5f\u73fe\u8c61\u4e2d\uff0c\u6211\u5011\u53ef\u7a31\u9019\u7a2e\u81ea\u7136\u5f8b\u70ba\u96a8\u6a5f\u6cd5\u5247\u3002\u5c31\u662f\u56e0\u6709\u9019\u4e9b\u6cd5\u5247\uff0c\u8b93\u6211\u5011\u5c0d\u96a8\u6a5f\u73fe\u8c61\uff0c\u4ecd\u80fd\u6709\u6240\u638c\u63e1\uff0c\u4ecd\u80fd\u9810\u6e2c\u3002\u9019\u5176\u4e2d\u6700\u8a72\u4e00\u63d0\u7684\uff0c\u5c31\u662f\u5927\u6578\u6cd5\u5247(law of large numbers)\u3002\u6211\u5011\u5c07\u5206\u5225\u4ecb\u7d39\u5de8\u6578\u6cd5\u5247(law of truly large numbers)\uff0c\u5f31\u5927\u6578\u6cd5\u5247(weak law of large numbers)\u53ca\u5f37\u5927\u6578\u6cd5\u5247(strong law of large numbers)\u3002<\/p>\n

\u9023\u7d50\uff1a\u5927\u6578\u6cd5\u5247\uff082\uff09\u6975\u9650\u7684\u5b9a\u7fa9<\/a><\/p>\n

\n

\u53c3\u8003\u6587\u737b\uff1a<\/strong><\/p>\n

    \n
  1. \u9ec3\u6587\u748b(1999)\uff0c\u6578\u5b78\u6b23\u8cde\u3002\u83ef\u6cf0\u6587\u5316\u4e8b\u696d\u80a1\u4efd\u6709\u9650\u516c\u53f8\uff0c\u53f0\u5317\u3002<\/li>\n
  2. \u9ec3\u6587\u748b(2003)\uff0c\u96a8\u6a5f\u601d\u8003\u8ad6\u3002\u83ef\u6cf0\u6587\u5316\u4e8b\u696d\u80a1\u4efd\u6709\u9650\u516c\u53f8\uff0c\u53f0\u5317\u3002<\/li>\n
  3. \u9ec3\u6587\u748b(2010)\uff0c\u6a5f\u7387\u8ad6\uff0c\u7b2c\u4e8c\u7248\u3002\u83ef\u6cf0\u6587\u5316\u4e8b\u696d\u80a1\u4efd\u6709\u9650\u516c\u53f8\uff0c\u53f0\u5317\u3002<\/li>\n
  4. Chung K. L. (2001). A Course \u00a0in Probability Theory<\/em>, 3rd ed, Academic Press, New York<\/li>\n
  5. Diaconis, P. and Mosteller, \u00a0F. (1989). Method for studying coincidences. Journal of the America<\/em>n Statistical Association<\/em>, 84, 853-861<\/li>\n
  6. Littlewood J.E.(1953). A Mathematican’s \u00a0Misscellany. Methuen, London.<\/li>\n
  7. Renyi, A.(1970). Foundations of Probability<\/em> . Holden-Day, Inc., San\u00a0Francisco.<\/li>\n
  8. Shermer, M.(2003). Co dified claptrap. Scientific American<\/em> , June ,288(6), 35.<\/li>\n
  9. Shermer, M.(2004). Miracle on probability street. Scientific American<\/em> , August, 291(2), 32.<\/li>\n<\/ol>\n<\/div>","protected":false},"excerpt":{"rendered":"

    \u5927\u6578\u6cd5\u5247\uff081\uff09\u6578\u5927\u4fbf\u662f\u7f8e\uff08Law of large numbers-1. Everything becomes…<\/p>\n","protected":false},"author":50,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[111,229],"tags":[2385,4357],"class_list":["post-39537","post","type-post","status-publish","format-standard","hentry","category-mathematics00","category-math06","tag-2385","tag-4357","loop-entry","cat-111","cat-229","no-thumbnail"],"views":11385,"_links":{"self":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/39537","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/users\/50"}],"replies":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/comments?post=39537"}],"version-history":[{"count":1,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/39537\/revisions"}],"predecessor-version":[{"id":87823,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/39537\/revisions\/87823"}],"wp:attachment":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/media?parent=39537"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/categories?post=39537"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/tags?post=39537"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}