{"title":"概率分布","authors":"A. Agresti, M. Kateri","doi":"10.1201/b19113-4","DOIUrl":null,"url":null,"abstract":"We introduce the concept of a probability distribution and its characterizations in terms of moments and averages. We present examples and discuss probability distributions on multidimensional spaces; this also includes marginal and conditional probabilities. We discuss and prove some fundamental theorems about probability distributions. Finally, we illustrate how random variables associated with various probability distributions can be generated on a computer.","PeriodicalId":113048,"journal":{"name":"Statistics and the Evaluation of Evidence for Forensic Scientists 3e","volume":"19 4","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"21","resultStr":"{\"title\":\"Probability Distributions\",\"authors\":\"A. Agresti, M. Kateri\",\"doi\":\"10.1201/b19113-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce the concept of a probability distribution and its characterizations in terms of moments and averages. We present examples and discuss probability distributions on multidimensional spaces; this also includes marginal and conditional probabilities. We discuss and prove some fundamental theorems about probability distributions. Finally, we illustrate how random variables associated with various probability distributions can be generated on a computer.\",\"PeriodicalId\":113048,\"journal\":{\"name\":\"Statistics and the Evaluation of Evidence for Forensic Scientists 3e\",\"volume\":\"19 4\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"21\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Statistics and the Evaluation of Evidence for Forensic Scientists 3e\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1201/b19113-4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics and the Evaluation of Evidence for Forensic Scientists 3e","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1201/b19113-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We introduce the concept of a probability distribution and its characterizations in terms of moments and averages. We present examples and discuss probability distributions on multidimensional spaces; this also includes marginal and conditional probabilities. We discuss and prove some fundamental theorems about probability distributions. Finally, we illustrate how random variables associated with various probability distributions can be generated on a computer.
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