{"title":"A Critical Age-Dependent Branching Process with Immigration","authors":"H. Weiner","doi":"10.1214/AOMS/1177690892","DOIUrl":"https://doi.org/10.1214/AOMS/1177690892","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"35 1","pages":"2099-2103"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83745937","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":"The Mixed Effects Model and Simultaneous Diagonalization of Symmetric Matrices","authors":"R. Hultquist, E. M. Atzinger","doi":"10.1214/AOMS/1177690877","DOIUrl":"https://doi.org/10.1214/AOMS/1177690877","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"25 1","pages":"2024-2030"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77427699","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":"Sequential Probability Ratio Test for the Mean Value Function of a Gaussian Process","authors":"P. K. Bhattacharya, Robert P. Smith","doi":"10.1214/AOMS/1177690857","DOIUrl":"https://doi.org/10.1214/AOMS/1177690857","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"43 1","pages":"1861-1873"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88908525","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":"An Upper Bound for the Renewal Function","authors":"C. Stone","doi":"10.1214/AOMS/1177690883","DOIUrl":"https://doi.org/10.1214/AOMS/1177690883","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"33 1","pages":"2050-2052"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91146701","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":"Asymptotic Properties of Rank Tests of Symmetry Under Discrete Distributions","authors":"Dana Vorlícková","doi":"10.1214/AOMS/1177690875","DOIUrl":"https://doi.org/10.1214/AOMS/1177690875","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"5 1","pages":"2013-2018"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84857070","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":"A Characterization of Certain Rank-Order Tests with Bounds for the Asymptotic Relative Efficiency","authors":"K. Behnen","doi":"10.1214/AOMS/1177690855","DOIUrl":"https://doi.org/10.1214/AOMS/1177690855","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"12 3 1","pages":"1839-1851"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79888916","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":"On the Efficiency of a Competitor of the Two-Sample Kolmogorov-Smirnov and Kuiper Tests","authors":"R. Littell","doi":"10.1214/AOMS/1177690871","DOIUrl":"https://doi.org/10.1214/AOMS/1177690871","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"5 1","pages":"1991-1992"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82037187","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}
A distribution function G(x), on the real line, is called unimodal if there exists a value x = a, such that G(x) is convex for x a. Given that G(x) is unimodal, a condition is given for the unimodality of Gr(x), where r denotes a positive integer. Gr(x) represents the distribution function of the largest observed value in a sample of r observations from the distribution G(x). Some of the standard distributions, such as, the normal, gamma, Poisson and binomial distributions satisfy the given condition. An application of the given result to a' problem of estimating the largest parameter is given.
{"title":"Unimodality of the Distribution of an Order Statistic","authors":"K. Alam","doi":"10.1214/AOMS/1177690881","DOIUrl":"https://doi.org/10.1214/AOMS/1177690881","url":null,"abstract":"A distribution function G(x), on the real line, is called unimodal if there exists a value x = a, such that G(x) is convex for x a. Given that G(x) is unimodal, a condition is given for the unimodality of Gr(x), where r denotes a positive integer. Gr(x) represents the distribution function of the largest observed value in a sample of r observations from the distribution G(x). Some of the standard distributions, such as, the normal, gamma, Poisson and binomial distributions satisfy the given condition. An application of the given result to a' problem of estimating the largest parameter is given.","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"4 1","pages":"2041-2044"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86472318","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}
Pub Date : 1972-12-01DOI: 10.1007/978-1-4419-5823-5_28
E. Hannan, C. Heyde
{"title":"On Limit Theorems for Quadratic Functions of Discrete Time Series","authors":"E. Hannan, C. Heyde","doi":"10.1007/978-1-4419-5823-5_28","DOIUrl":"https://doi.org/10.1007/978-1-4419-5823-5_28","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"308 1","pages":"181-189"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88324761","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}
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