Uniform distribution
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Testing of equality of K uniform distributions
Abstract: We have studied testing equality of several uniform distributions in this article. The necessary conditional distributions of the complete sufficient statistic of the parameter of interest have been derived by fixing the nuisance parameters. Thus, conditional distribution is used for deriving the test for equality of k-independent uniform distributions. As a special case of this test has been studied for two populations
Published in Research & Reviews : Journal of Statistics · Vol. 12, Issue 1, 2023 · pp. 22–27 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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On Confidence Bounds for the Parameter of a Uniform Type Distribution
Abstract: In this paper we have constructed confidence bounds for the parameter of a uniform type truncated distribution. Using the distribution of order statistic, Uniformly Most Powerful (UMP) test has been developed for testing two-sided alternatives of the parameter. Since the confidence bounds and acceptance region of the test are convertible for each other, the confidence bounds have been obtained. Further by using Likelihood Ratio Test (LRT) principle, test and confidence …
Published in Research & Reviews : Journal of Statistics · Vol. 10, Issue 1, 2021 · pp. 31–35 Read article
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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