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Featured researches published by Akio Kudô.


Communications in Statistics-theory and Methods | 1981

Test of equality of normal means in the absence of independent estimator of variance

Akio Kudô; Syoichi Sasabuchi; J.R. Choi

Let Xl,…,Xn be normally and independently distributed with means θl,…,θnand a cornmorl variance. Thus there are n observations and n+i unknwon parameters. A test of the null hypothesis that, the θis are all zero and the alternative that the vector (θl,…,θn) lies in a convex cone with its vertex a.t the origin is connsidered in this paper. It is shown that under a mild condition the likelihood ratio test is possible. The ordinary one sided t - test belongs to the class of tests considered in this paper. The hypothesis of equality of means against the simple order alternative can be tested in certain cases .


Communications in Statistics-theory and Methods | 1982

An approximate formula for Pu,K) used in order restricted inferences, and the analysis of freezing dates of lake mendota

Akio Kudô; Jing Shing Yao

An approximate formula for the probabilities p(l,k) which play an important role in the statistical inferences under simple order restriction, is proposed. The approximation is found to be quite satisfactory. The values of p(l,k) are presented for l=(1)k, k=2(1)15. The data on the freezing date of Lake Mendota refered in Barlow et al (1972) is analyzed by the likelihood ratio test derived in Kudo et al (1981) under the assumption of normality.


Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics | 1975

A GENERALIZED MULTIVARIATE ANALOGUE OF THE ONE SIDED TEST

Akio Kudô; Jae-Rong Choi


Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics | 1959

THE CLASSIFICATORY PROBLEM VIEWED AS A TWO-DECISION PROBLEM

Akio Kudô


Bulletin of Mathematical Statistics | 1956

On the invariant multiple decision procedures

Akio Kudô; 昭夫 工藤


Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics | 1987

THE MOST STRINGENT SOMEWHERE MOST POWERFUL ONE SIDED TEST OF THE MULTIVARIATE NORMAL MEAN

Ning-Zhong Shi; Akio Kudô


Journal of the Japan Statistical Society. Japanese issue | 1974

AN ALGORITHM RELATED TO ALL POSSIBLE REGRESSION AND DISCRIMINANT ANALYSIS

Tomoyuki Tarumi; Akio Kudô


Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics | 1957

THE EXTREME VALUE IN A MULTIVARIATE NORMAL SAMPLE.

Akio Kudô


Bulletin of Mathematical Statistics | 1956

On the confidence interval of the extreme value of a second sample from a normal universe

Akio Kudô; 昭夫 工藤


Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics | 1974

ON SLIPPAGE TESTS (V) - MONOTONICITY OF POWER

Miyoshi Kimura; Akio Kudô

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