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Bulletin of Mathematical Statistics最新文献

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BAYES RISKS OF ESTIMATORS OF ESTIMABLE PARAMETERS 估计参数估计量的贝叶斯风险
Bulletin of Mathematical Statistics Pub Date : 1980-03-01 DOI: 10.5109/13136
Hajime Yamato, 大和 元
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引用次数: 1
ON THE LEARNING ALGORITHM OF 2-PERSON ZERO-SUM MARKOV GAME 二人零和马尔可夫博弈的学习算法
Bulletin of Mathematical Statistics Pub Date : 1980-03-01 DOI: 10.5109/13137
Kensuke Tanaka, Hisafumi Homma
{"title":"ON THE LEARNING ALGORITHM OF 2-PERSON ZERO-SUM MARKOV GAME","authors":"Kensuke Tanaka, Hisafumi Homma","doi":"10.5109/13137","DOIUrl":"https://doi.org/10.5109/13137","url":null,"abstract":"","PeriodicalId":287765,"journal":{"name":"Bulletin of Mathematical Statistics","volume":"107 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131946213","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}
引用次数: 1
REVERSED CONTROL PROCESSES 反向控制过程
Bulletin of Mathematical Statistics Pub Date : 1980-03-01 DOI: 10.5109/13135
Seiichi Iwamoto
{"title":"REVERSED CONTROL PROCESSES","authors":"Seiichi Iwamoto","doi":"10.5109/13135","DOIUrl":"https://doi.org/10.5109/13135","url":null,"abstract":"A reversal operation for dynamic programming (DP) trans forms a (main) control process to a reversed control process. It is applied to the well known linear equation and quadratic criterion control process and to a terminal control process. Not solving the recursive equation directly, but merely applying the author's Reverse Theorem in DP, we can automatically obtain the solution of the recursive equation for reversed process.","PeriodicalId":287765,"journal":{"name":"Bulletin of Mathematical Statistics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124829397","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}
引用次数: 1
ON FINITE PARAMETRIC LINEAR MODELS OF DYADIC STATIONARY PROCESSES 二元平稳过程的有限参数线性模型
Bulletin of Mathematical Statistics Pub Date : 1980-03-01 DOI: 10.5109/13139
T. Nagai
{"title":"ON FINITE PARAMETRIC LINEAR MODELS OF DYADIC STATIONARY PROCESSES","authors":"T. Nagai","doi":"10.5109/13139","DOIUrl":"https://doi.org/10.5109/13139","url":null,"abstract":"","PeriodicalId":287765,"journal":{"name":"Bulletin of Mathematical Statistics","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124890223","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}
引用次数: 7
NEARLY OPTIMAL POLICIES AND STOPPING TIMES IN MARKOV DECISION PROCESSES WITH GENERAL REWARDS 具有一般奖励的马尔可夫决策过程中的近最优策略和停止时间
Bulletin of Mathematical Statistics Pub Date : 1980-03-01 DOI: 10.5109/13142
N. Furukawa
{"title":"NEARLY OPTIMAL POLICIES AND STOPPING TIMES IN MARKOV DECISION PROCESSES WITH GENERAL REWARDS","authors":"N. Furukawa","doi":"10.5109/13142","DOIUrl":"https://doi.org/10.5109/13142","url":null,"abstract":"","PeriodicalId":287765,"journal":{"name":"Bulletin of Mathematical Statistics","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129024289","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}
引用次数: 2
STRONG CONSISTENCY AND OPTIMALITY OF A SEQUENTIAL DENSITY ESTIMATOR 序列密度估计的强一致性和最优性
Bulletin of Mathematical Statistics Pub Date : 1980-03-01 DOI: 10.5109/13140
E. Isogai
{"title":"STRONG CONSISTENCY AND OPTIMALITY OF A SEQUENTIAL DENSITY ESTIMATOR","authors":"E. Isogai","doi":"10.5109/13140","DOIUrl":"https://doi.org/10.5109/13140","url":null,"abstract":"","PeriodicalId":287765,"journal":{"name":"Bulletin of Mathematical Statistics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134544989","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}
引用次数: 5
A SINGLE-BULLET DUEL WITH UNCERTAIN INFORMATION AVAILABLE TO THE DUELISTS 一场单枪匹夫的决斗，决斗者可以获得不确定的信息
Bulletin of Mathematical Statistics Pub Date : 1979-03-01 DOI: 10.5109/13132
Y. Teraoka
{"title":"A SINGLE-BULLET DUEL WITH UNCERTAIN INFORMATION AVAILABLE TO THE DUELISTS","authors":"Y. Teraoka","doi":"10.5109/13132","DOIUrl":"https://doi.org/10.5109/13132","url":null,"abstract":"The purpose of this paper is to solve the single-bullet duel in which either silent or noisy is uncertain and the accuracy functions are arbitrary. It will be found the model in this paper is an extension of the single-bullet duels : silent, noisy, and silent-noisy duels.","PeriodicalId":287765,"journal":{"name":"Bulletin of Mathematical Statistics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1979-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130735386","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}
引用次数: 9
AN ALMOST SURE CONVERGENCE THEOREM IN A STOCHASTIC APPROXIMATION METHOD WITH DEPENDENT RANDOM VARIABLES 具有相关随机变量的随机逼近方法的一个几乎确定的收敛定理
Bulletin of Mathematical Statistics Pub Date : 1979-03-01 DOI: 10.5109/13134
Masafumi Watanabe
{"title":"AN ALMOST SURE CONVERGENCE THEOREM IN A STOCHASTIC APPROXIMATION METHOD WITH DEPENDENT RANDOM VARIABLES","authors":"Masafumi Watanabe","doi":"10.5109/13134","DOIUrl":"https://doi.org/10.5109/13134","url":null,"abstract":"This paper is a continuation of our papers [9], [10] and [11] and is concerned with a Robbins-Monro type stochastic approximation method when a sequence of dependently distributed random vectors is given. The method of stochastic approximation has been first proposed by H. Robbins and S. Monro ([5]) and its modifications have been thereafter given by many authors. A typical one of them is as follows. Suppose that an RN-valued random vector Y„(x) can be observed at xERN and each instant n, and the expected value of Y n(X), denoted by E[Y„(x)]=1/17,(x), is unknown to us. Assuming that the equation itin(x)=0 has a solution x=8,, for each n=1, 2, • , it is desire to estimate 0,, for sufficiently large n on the basis of observed values Y1(X0), Y2(Xi), Y.+I(X,i), ••• at the points X„ Xi, •-• , X„, ••• which are produced by the following recurrence relation,","PeriodicalId":287765,"journal":{"name":"Bulletin of Mathematical Statistics","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1979-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133353495","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}
引用次数: 3
ON THE METHOD OF H. CHERNOFF IN CLASSIFICATORY PROBLEM BETWEEN TWO CATEGORIES WITH SPECIFIED $ 2^k $-th MOMENT ($ k = 0, 1, 2 $) $ 2^k $矩($ k = 0,1,2 $)两类间分类问题的H. CHERNOFF方法
Bulletin of Mathematical Statistics Pub Date : 1979-03-01 DOI: 10.5109/13130
A. Nishi, 西 晃央
{"title":"ON THE METHOD OF H. CHERNOFF IN CLASSIFICATORY PROBLEM BETWEEN TWO CATEGORIES WITH SPECIFIED $ 2^k $-th MOMENT ($ k = 0, 1, 2 $)","authors":"A. Nishi, 西 晃央","doi":"10.5109/13130","DOIUrl":"https://doi.org/10.5109/13130","url":null,"abstract":"","PeriodicalId":287765,"journal":{"name":"Bulletin of Mathematical Statistics","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1979-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130430450","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}
引用次数: 0
TESTS OF HOMOGENEITY FOR ORDERED ALTERNATIVES IN THE NORMAL POPULATIONS 正常群体中有序选择的同质性检验
Bulletin of Mathematical Statistics Pub Date : 1979-03-01 DOI: 10.5109/13131
S. Shirahata
{"title":"TESTS OF HOMOGENEITY FOR ORDERED ALTERNATIVES IN THE NORMAL POPULATIONS","authors":"S. Shirahata","doi":"10.5109/13131","DOIUrl":"https://doi.org/10.5109/13131","url":null,"abstract":"Four new statistics to test the homogeneity of means and of variances against the ordered alternatives are considered and their power properties are investigated with the aid of computer simulations. These statistics are extensions of a partial ordering on the sample space induced by the likelihood ratio. It is found that they are more powerful than the likelihood ratio tests.","PeriodicalId":287765,"journal":{"name":"Bulletin of Mathematical Statistics","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1979-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127098533","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}
引用次数: 0
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