{"title":"人口统计学弱遍历定理的一个简单证明。","authors":"M Sivamoorthy","doi":"","DOIUrl":null,"url":null,"abstract":"<p><p>\"The proof of weak ergodicity of the age distribution has been given by Lopez using matrix algebra and also by McFarland using an elementary approach. This paper presents a simple proof of the theorem using the law of averages. The assumptions involved are almost the same as those assumed by McFarland.\"</p>","PeriodicalId":84956,"journal":{"name":"Janasamkhya","volume":"2 1","pages":"39-43"},"PeriodicalIF":0.0000,"publicationDate":"1984-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A simple proof of the weak ergodicity theorem in demography.\",\"authors\":\"M Sivamoorthy\",\"doi\":\"\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>\\\"The proof of weak ergodicity of the age distribution has been given by Lopez using matrix algebra and also by McFarland using an elementary approach. This paper presents a simple proof of the theorem using the law of averages. The assumptions involved are almost the same as those assumed by McFarland.\\\"</p>\",\"PeriodicalId\":84956,\"journal\":{\"name\":\"Janasamkhya\",\"volume\":\"2 1\",\"pages\":\"39-43\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1984-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Janasamkhya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Janasamkhya","FirstCategoryId":"1085","ListUrlMain":"","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A simple proof of the weak ergodicity theorem in demography.
"The proof of weak ergodicity of the age distribution has been given by Lopez using matrix algebra and also by McFarland using an elementary approach. This paper presents a simple proof of the theorem using the law of averages. The assumptions involved are almost the same as those assumed by McFarland."