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This article is cited in 3 scientific papers (total in 3 papers)
On computable estimates for accuracy of approximation for the Bartlett–Nanda–Pillai statistic
A. A. Lipateva, V. V. Ulyanovab a Lomonosov Moscow State University, Moscow, Russia
b Higher School of Economics, Moscow, Russia
Abstract:
For the Bartlett-Nanda-Pillai statistic, we find computable estimates for accuracy of approximation, i.e., we describe explicitly the dependence on all parameters of the distributions that occur in the inequalities. For the other two classical statistics traditionally used in multivariate analysis of variance, i.e., the likelihood-ratio and Lawley–Hotelling statistics, similar computable estimates were found earlier.
Key words:
computable estimates, accuracy of approximation, multivariate analysis of variance, Bartlett–Nanda–Pillai statistic.
Received: 14.03.2016
Citation:
A. A. Lipatev, V. V. Ulyanov, “On computable estimates for accuracy of approximation for the Bartlett–Nanda–Pillai statistic”, Mat. Tr., 19:2 (2016), 109–118; Siberian Adv. Math., 27:3 (2017), 153–159
Linking options:
https://www.mathnet.ru/eng/mt307 https://www.mathnet.ru/eng/mt/v19/i2/p109
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Abstract page: | 259 | Full-text PDF : | 81 | References: | 37 | First page: | 5 |
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