著者

Koike Ken-ichi Akahira Masafumi

出版者

Marcel Dekker

雑誌

Sequential analysis (ISSN:07474946)

巻号頁・発行日

vol.12, no.3-4, pp.211-218, 1993

被引用文献数

1

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In the sequential multinomial sampling case,a sufficient condition for a non-randomized sequential procedure to be complete is given,and also a necessary and sufficient condition for a randomized sequential procedure to be complete is obtained.

著者

AKAHIRA Masafumi

出版者

日本科学技術連盟

雑誌

Reports of statistical application research, Union of Japanese Scientists and Engineers (ISSN:00344842)

巻号頁・発行日

vol.38, no.1, pp.19-23, 1991

著者

AKAHIRA Masafumi

出版者

日本科学技術連盟

雑誌

Reports of statistical application research, Union of Japanese Scientists and Engineers (ISSN:00344842)

巻号頁・発行日

vol.31, no.2, pp.1-13, 1984

著者

AKAHIRA Masafumi

出版者

日本科学技術連盟

雑誌

Reports of statistical application research, Union of Japanese Scientists and Engineers (ISSN:00344842)

巻号頁・発行日

vol.22, no.1, pp.8-26, 1975

著者

AKAHIRA Masafumi

出版者

電気通信大学

雑誌

Reports of the University of Electro-Communications (ISSN:04934253)

巻号頁・発行日

vol.29, no.2, pp.213-218, 1979-02

著者

AKAHIRA Masafumi

出版者

電気通信大学

雑誌

Reports of the University of Electro-Communications (ISSN:04934253)

巻号頁・発行日

vol.27, no.2, pp.309-311, 1977-02

著者

AKAHIRA Masafumi

出版者

電気通信大学

雑誌

Reports of the University of Electro-Communications (ISSN:04934253)

巻号頁・発行日

vol.27, no.1, pp.125-128, 1976-08

著者

AKAHIRA Masafumi

出版者

電気通信大学

雑誌

Reports of the University of Electro-Communications (ISSN:04934253)

巻号頁・発行日

vol.26, no.1, pp.143-149, 1975-08

著者

OHYAUCHI Nao AKAHIRA Masafumi

出版者

İzmir University of Economics

雑誌

İSTATİSTİK, Journal of the Turkish Statistical Association (ISSN:13004077)

巻号頁・発行日

vol.5, no.1, pp.1-5, 2002

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For a family of uniform distribution on the interval [8 - (1/2), e - (1/2)]' the informationinequality for the bayes risk of any estimator of e is given under the quadratic Joss and the uniform priordistribution on an interval [-c,c]. The lower bound for the Bayes risk is shown to be sharp. And also thelower bound for the limit inferior of Bayes risk as c -jo 00 is seen to be attained by the mid-range estimator.

著者

Akahira Masafumi Hida Eisuke

出版者

İzmir University of Economics

雑誌

İSTATİSTİK, Journal of the Turkish Statistical Association (ISSN:13004077)

巻号頁・発行日

vol.3, no.3, pp.58-82, 2000

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Let X be an observable random vector and Y a random variable to be observedin future. Assume that the joint distribution of X and Y depends on an unknownparameter. In this paper we consider a way of the construction of a predictioninterval for Y based on X for a discrete exponential fq.mily of distributions. Inparticular we asymptotically construct the prediction interval in the binomial andPoisson cases, and give practical applications to the prediction of the number ofwins of the Japanese professional baseball teams and that of home runs of the playersin the major league of the United States.

著者

AKAHIRA MASAFUMI KOIKE KEN-ICHI

出版者

American Mathematical Society

雑誌

Sugaku expositions (ISSN:08989583)

巻号頁・発行日

vol.11, no.2, pp.197-213, 1998-12

著者

Sato Michikazu Akahira Masafumi

出版者

日本統計学会

雑誌

Journal of the Japan Statistical Society (ISSN:03895602)

巻号頁・発行日

vol.25, no.2, pp.151-158, 1995

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This paper presents lower bounds for the minimax risk under quadraticloss, derived from information inequalities for the Bayes risk obtained byBorovkov and Sakhanienko, Brown and Gajek. In addition, admissibilityof a minimax estimator is discussed, and we provide examples which illustratethat they are good bounds.

著者

Akahira Masafumi Torigoe Norio

出版者

日本統計学会

雑誌

Journal of the Japan Statistical Society (ISSN:03895602)

巻号頁・発行日

vol.28, no.1, pp.45-57, 1998

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A new higher order approximation formula for a percentage point of thedistribution of the sample correlation coefficient is given up to the order O( n-1),using the Cornish-Fisher expansion for the statistic based on a linear combinationof a normal random variable and chi-random variables. The numerical comparisonof the formula with others shows that it dominates the others and gives almostprecise values in various cases even for the size n= 10 of sample.

著者

Kawai Shinichi Akahira Masafumi

出版者

日本統計学会

雑誌

Journal of the Japan Statistical Society (ISSN:03895602)

巻号頁・発行日

vol.24, no.2, pp.141-150, 1994

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In some regression model, the mean square' errors of a ratio estimator, a groupedjackknife estimator, and an estimator based on the least square estimators (LSEs) areobtained and compared up to the order O(n-3), where n is the size of the sample. Thebias-adjusted ratio estimator and the jackknife estimator are also compared up to theorder O(n-3). Then it is concluded that the estimator based on the LSEs is an asymptoticallybetter estimator of ratio up to the order o (n-3).Some examples are given.

著者

Akahira Masafumi Kawai Shinichi

出版者

日本統計学会

雑誌

Journal of the Japan Statistical Society (ISSN:03895602)

巻号頁・発行日

vol.20, no.2, pp.149-157, 1990

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In some regression model, the minimum (asymptotic) variance estimator of a ratiois discussed for some class of linear combinations of ratio estimators, and the jackknifeprocedure is considered. It is seen that the grouped jackknife estimator is optimal inthe sense that it has asymptotically the minimum variance in the class. Higher orderbias reduction of the estimators is discussed, and some examples are given.

著者

Akahira Masafumi

出版者

日本統計学会

雑誌

Journal of the Japan Statistical Society (ISSN:03895602)

巻号頁・発行日

vol.19, no.2, pp.179-196, 1989

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The problem on jackknifing estimators is investigated in the presence of nuisanceparameters from the viewpoint of higher order asymptotics. It is shown that theasymptotic deficiency of the jackknife estimator relative to the bias-adjusted maximumlikelihood estimator (MLE) is equal to zero under true and assumed m.odcls. Moreover,the asymptotic deficiency of the MLE or the jackknife estimator under the assumedmodel relative to that under the true model is given.

著者

Akahira Masafumi Sato Michikazu Torigoe Norio

出版者

日本統計学会

雑誌

Journal of the Japan Statistical Society (ISSN:03895602)

巻号頁・発行日

vol.25, no.1, pp.1-18, 1995

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Recently a new approximation to a percentage point of non-centralt-distributions was proposed by Akahira [1]. In this paper the approximationformula is presented and the existence and uniqueness of a solution of theequation on the formula is proved. Numerical results are also given.

著者

Akahira Masafumi

出版者

日本統計学会

雑誌

Journal of the Japan Statistical Society (ISSN:03895602)

巻号頁・発行日

vol.23, no.1, pp.19-31, 1993

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In the presence of a nuisance parameter the asymptotic deficiency of the discretizedlikelihood estimator (DLE) relative to the bias-adjusted maximum likelihood estimatoris obtained under the assumed model. It consists of two parts. One is the lossof information associated with the DLE of the parameter to be estimated. Another,is that due to the "incorrectness" of the assumed model. Some examples on the normaland Weibull type distributions are given.

著者

Akahira Masafumi Takahashi Kunihiko

出版者

日本統計学会

雑誌

Journal of the Japan Statistical Society (ISSN:03895602)

巻号頁・発行日

vol.31, no.2, pp.257-267, 2001-12

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For a sum of independent discrete random variables, its higher order large-deviation approximation is discussed. An approximation to the tail probability of the distribution of the sum is provided, and its numerical comparison with other approximations is done in the binomial case. Consequently, the approximation formula is seen to be more accurate.

著者

Maihara Hirosuke Akahira Masafumi

出版者

日本統計学会

雑誌

Journal of the Japan Statistical Society (ISSN:03895602)

巻号頁・発行日

vol.34, no.2, pp.189-206, 2004-12

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From the decision-theoretic viewpoint, using a weighted loss we compare the risks of testing procedures in the location and scale parameter cases. We also get numerically the minimax solution of Bayes testing procedures w. r. t. a parameter of the prior distribution, under the weighted loss.