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

A. Kudo, Shoichi Sasabuchi

研究成果: ジャーナルへの寄稿記事

8 引用 (Scopus)

抄録

Let X1,…, Xn be normally and independently distributed with means 0n,…0n and a common variance. Thus there are n observations and n+1 unknown parameters. A test of the null hypothesis that the Qs are all zero and the alternative that the vector (0,0) lies in a convex cone with its vertex at the origin is considered 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.

元の言語英語
ページ(範囲)659-688
ページ数30
ジャーナルCommunications in Statistics - Theory and Methods
10
発行部数7
DOI
出版物ステータス出版済み - 1 1 1981

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Equality
One-sided test
Estimator
t-test
Alternatives
Convex Cone
Likelihood Ratio Test
Null hypothesis
Unknown Parameters
Zero
Vertex of a graph
Observation
Class

All Science Journal Classification (ASJC) codes

  • Statistics and Probability

これを引用

Test of equality of normal means in the absence of independent estimator of variance. / Kudo, A.; Sasabuchi, Shoichi.

:: Communications in Statistics - Theory and Methods, 巻 10, 番号 7, 01.01.1981, p. 659-688.

研究成果: ジャーナルへの寄稿記事

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