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4 articles for “Asymptotic UMPU test”
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Asymptotic Tests for Truncation Parameters of several One-truncation Parameter Family of Distributions
Abstract: In this study, the authors have obtained the asymptotic tests for testing equality of truncation parameters of one truncation parameter family of distributions. The asymptotic conditional distribution of complete sufficient statistic of parameter of interest is obtained by conditioning the distribution of complete sufficient statistics of the nuisance parameters. Using this conditional distribution we have derived the asymptotic Uniformly Most Powerful Unbiased (UMPU) tests for testing hypothesis (i) one parameter …
Published in Research & Reviews : Journal of Statistics · Vol. 7, Issue 2, 2018 · pp. 35–41 Read article
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Tests for Parameters of Two-parametric Uniform Distribution, u(θ_1,θ_2 )
Abstract: In this article, we have presented tests related to the parameters of uniform distribution defined on the interval (q1, q2). The conditional distribution of complete sufficient statistics of the parameter of interest is obtained by conditioning the distribution of complete sufficient statistics of the nuisance parameter to be held fixed. Using this conditional distribution, uniformly most powerful unbiased (UMPU) test or uniformly most powerful invariant (UMPI) asymptotic tests have been …
Published in Research & Reviews : Journal of Statistics · Vol. 10, Issue 2, 2021 · pp. 29–34 Read article
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Asymptotic Test for Parameters of Two Power Function Distributions
Abstract: In this article we have presented some of asymptotic distributions related to two power function distributions. The Asymptotic conditional distribution of complete sufficient statistics of the parameter of interest is obtained by conditioning the distribution of complete sufficient of nuisance parameter is held fixed, Using this conditional distribution we have derived the asymptotic Uniformly Most Powerful Unbiased (UMPU) tests for testing hypotheses (i) one parameter is larger than the another …
Published in Research & Reviews : Journal of Statistics · Vol. 7, Issue 1, 2018 · pp. 17–21 Read article
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Testing for equalities of several multinomial distributions
Abstract: In this article we have studied the testing of parameters of several multinomial distributions. The necessary conditional distribution of complete sufficient statistic of the parameter of interest is obtained by conditioning the complete sufficient statistics of nuisance parameter to be held fixed .Using this conditional distribution we have derived uniformly most powerful unbiased (UMPU) test for testing the hypothesis (i)Equality of two independent multinomial distributions and (ii) testing one of …
Published in Research & Reviews : Journal of Statistics · Vol. 12, Issue 3, 2023 · pp. 11–17 Read article