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

A. Kudo, Shoichi Sasabuchi

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 659-688 30 Communications in Statistics - Theory and Methods 10 7 https://doi.org/10.1080/03610928108828064 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.

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