{"title":"Fitting and Testing Goodness of Fit of Probability Models","authors":"","doi":"10.1142/9789813202054_0014","DOIUrl":"https://doi.org/10.1142/9789813202054_0014","url":null,"abstract":"","PeriodicalId":274238,"journal":{"name":"Probability Models and Applications","volume":"146 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116116767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Sums and Averages of Independent Random Variables","authors":"","doi":"10.1142/9789813202054_0007","DOIUrl":"https://doi.org/10.1142/9789813202054_0007","url":null,"abstract":"","PeriodicalId":274238,"journal":{"name":"Probability Models and Applications","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115811919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Transformations of Two Random Variables","authors":"","doi":"10.1142/9789813202054_0013","DOIUrl":"https://doi.org/10.1142/9789813202054_0013","url":null,"abstract":"Problem : (X,Y ) is a bivariate rv. Find the distribution of Z = g(X,Y ). • The very 1st step: specify the support of Z. • X,Y are discrete – straightforward; see Example 0(a)(b) from Transformation of Several Random Variables.pdf. • X,Y are continuous – The CDF approach (the basic, off-the-shelf method) – Special formula (convolution) for Z = X + Y – MGF approach for sums of multiple independent rvs.","PeriodicalId":274238,"journal":{"name":"Probability Models and Applications","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134403608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Conditional Probability and Probabilistic Independence","authors":"","doi":"10.1142/9789813202054_0004","DOIUrl":"https://doi.org/10.1142/9789813202054_0004","url":null,"abstract":"","PeriodicalId":274238,"journal":{"name":"Probability Models and Applications","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114150313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Finite Probability Models and Random Sampling","authors":"","doi":"10.1142/9789813202054_0003","DOIUrl":"https://doi.org/10.1142/9789813202054_0003","url":null,"abstract":"","PeriodicalId":274238,"journal":{"name":"Probability Models and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128517436","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Descriptive Properties of Distributions","authors":"","doi":"10.1142/9789813202054_0006","DOIUrl":"https://doi.org/10.1142/9789813202054_0006","url":null,"abstract":"","PeriodicalId":274238,"journal":{"name":"Probability Models and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131282290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}