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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 1, Pages 39–48
(Mi ivm7170)
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This article is cited in 3 scientific papers (total in 3 papers)
A locally directionally maximin test for a multidimensional parameter with order-restricted alternatives
P. A. Novikov Chair of Mathematical Statistics, Kazan State University, Kazan, Russia
Abstract:
In this paper we propose the locally directionally maximin test which is a generalization of the locally most powerful test for the case of a multidimensional parameter. We show that for the two-dimensional Gaussian distribution the locally directionally maximin test is better than the likelihood ratio test in the sense of the local power. For locally asymptotically normal experiments we construct an asymptotic locally directionally maximin test.
Keywords:
hypothesis testing, multidimensional parameter, order-restricted alternatives, locally directionally maximin test, locally most powerful test, likelihood ratio test, optimal linear test, locally asymptotically normal experiments.
Received: 21.05.2009 Revised: 23.09.2009
Citation:
P. A. Novikov, “A locally directionally maximin test for a multidimensional parameter with order-restricted alternatives”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1, 39–48; Russian Math. (Iz. VUZ), 55:1 (2011), 33–41
Linking options:
https://www.mathnet.ru/eng/ivm7170 https://www.mathnet.ru/eng/ivm/y2011/i1/p39
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Abstract page: | 262 | Full-text PDF : | 53 | References: | 38 | First page: | 3 |
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