{"title":"Limit Theorems for the Distributions of the Sums of a Random Number of Random Variables","authors":"D. Szász","doi":"10.1214/AOMS/1177690861","DOIUrl":"https://doi.org/10.1214/AOMS/1177690861","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"15 1","pages":"1902-1913"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89042859","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":"Fredholm Determinant of a Positive Definite Kernel of a Special Type and Its Application","authors":"Shashikala Sukhatme","doi":"10.1214/AOMS/1177690862","DOIUrl":"https://doi.org/10.1214/AOMS/1177690862","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"65 1","pages":"1914-1926"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85891988","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 Equivalent to the Martingale Square Function Inequality","authors":"L. Gordon","doi":"10.1214/AOMS/1177690863","DOIUrl":"https://doi.org/10.1214/AOMS/1177690863","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"33 1","pages":"1927-1934"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76237102","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 Exponential Probability Bound for the Energy of a Type of Gaussian Process","authors":"L. H. Koopmans, C. Qualls","doi":"10.1214/AOMS/1177690866","DOIUrl":"https://doi.org/10.1214/AOMS/1177690866","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"21 1","pages":"1953-1960"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73754009","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}
Abstract : In denumerable state, denumerable action sequential decision problems in which the reward function has uniformly bounded 2nd moment, the optimal reward for the decisionmaker who restricts himself to the countable set of stationary policies consisting of those which choose some arbitrary action at all but a finite number of states will be the same as the optimal reward for the decisionmaker who optimizes over all stationary policies. Under some further restriction, he can do almost as well simply by solving a large finite state truncation of the original problem. (Author)
{"title":"A Countable Policy Set for Sequential Decision Problems","authors":"J. Rolph, R. Strauch","doi":"10.1214/AOMS/1177690888","DOIUrl":"https://doi.org/10.1214/AOMS/1177690888","url":null,"abstract":"Abstract : In denumerable state, denumerable action sequential decision problems in which the reward function has uniformly bounded 2nd moment, the optimal reward for the decisionmaker who restricts himself to the countable set of stationary policies consisting of those which choose some arbitrary action at all but a finite number of states will be the same as the optimal reward for the decisionmaker who optimizes over all stationary policies. Under some further restriction, he can do almost as well simply by solving a large finite state truncation of the original problem. (Author)","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"49 1","pages":"2078-2082"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90992265","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":"Bayes estimation of the mixing distribution, the discrete case","authors":"G. Meeden","doi":"10.1214/AOMS/1177690872","DOIUrl":"https://doi.org/10.1214/AOMS/1177690872","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"70 1","pages":"1993-1999"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75655005","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":"Minimal Sufficient $|sigma$-Fields and Minimal Sufficient Statistics. Two Counterexamples","authors":"D. Landers, L. Rogge","doi":"10.1214/AOMS/1177690882","DOIUrl":"https://doi.org/10.1214/AOMS/1177690882","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"54 1","pages":"2045-2049"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80837126","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":"PAIRS OF ONE DIMENSIONAL RANDOM WALK PATHS","authors":"C. H. Raifaizen","doi":"10.1214/AOMS/1177690891","DOIUrl":"https://doi.org/10.1214/AOMS/1177690891","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"3 1","pages":"2095-2098"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74001541","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 Selecting the Least Probable Multinomial Event","authors":"K. Alam, James R. Thompson","doi":"10.1214/AOMS/1177690870","DOIUrl":"https://doi.org/10.1214/AOMS/1177690870","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"1 1","pages":"1981-1990"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84485554","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 a Class of Aligned Rank Order Tests for the Identity of the Intercepts of Several Regression Lines","authors":"P. Sen","doi":"10.1214/AOMS/1177690874","DOIUrl":"https://doi.org/10.1214/AOMS/1177690874","url":null,"abstract":"","PeriodicalId":50764,"journal":{"name":"Annals of Mathematical Statistics","volume":"15 1","pages":"2004-2012"},"PeriodicalIF":0.0,"publicationDate":"1972-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85194211","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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