- 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
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
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
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
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.