{"title":"机会和大数的统计规律","authors":"Rosario D’Amico","doi":"10.14505/jmef.v7.2(13).03","DOIUrl":null,"url":null,"abstract":"\n \n \nIn this work we look at one special case to provide a rational basis for the following assertion known as Statistical Law of Large Numbers: If an event E has a constant probability p of occurrence on any one trial, and has occurred m times in n trials, then, if the relative frequency of E, m/n, approaches the value of a limit point l and the accuracy of the approximation increases as the number of trials increases, we have l = p. The argument we propose is based on the concepts of “event” and “trial”, formulated in a recent paper by the author himself, and their direct implications. \n \n \n","PeriodicalId":367341,"journal":{"name":"Journal of Mathematical Economics and Finance","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Chance and The Statistical Law of Large Numbers\",\"authors\":\"Rosario D’Amico\",\"doi\":\"10.14505/jmef.v7.2(13).03\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n \\n \\nIn this work we look at one special case to provide a rational basis for the following assertion known as Statistical Law of Large Numbers: If an event E has a constant probability p of occurrence on any one trial, and has occurred m times in n trials, then, if the relative frequency of E, m/n, approaches the value of a limit point l and the accuracy of the approximation increases as the number of trials increases, we have l = p. The argument we propose is based on the concepts of “event” and “trial”, formulated in a recent paper by the author himself, and their direct implications. \\n \\n \\n\",\"PeriodicalId\":367341,\"journal\":{\"name\":\"Journal of Mathematical Economics and Finance\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Economics and Finance\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.14505/jmef.v7.2(13).03\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Economics and Finance","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14505/jmef.v7.2(13).03","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在这项工作中,我们着眼于一个特殊的情况,为以下被称为大数统计定律的断言提供理性基础:如果一个事件E常数概率p(发生在任何一个审判,和发生m * n试验中,然后,如果E的相对频率,m / n, l方法极限点的价值和增加近似的准确性随着试验的数量增加,我们有l = p。我们提出的论点是基于“事件”的概念和“审判”,制定在最近的一篇论文作者本人,和他们的直接影响。
In this work we look at one special case to provide a rational basis for the following assertion known as Statistical Law of Large Numbers: If an event E has a constant probability p of occurrence on any one trial, and has occurred m times in n trials, then, if the relative frequency of E, m/n, approaches the value of a limit point l and the accuracy of the approximation increases as the number of trials increases, we have l = p. The argument we propose is based on the concepts of “event” and “trial”, formulated in a recent paper by the author himself, and their direct implications.