conditional 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