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3 publications

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    Testing for equalities of several multinomial distributions

    By Patel S.R.

    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

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    Testing of equality of K uniform distributions

    By Patel S.R., Bhatt M. B

    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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    On Uniformly Most Powerful Tests for Truncated Parameters of several One-Parameter-Truncated Family of Distributions

    By Patel S.R.

    Abstract: In this paper we have obtained Uniformly Most Powerful (UMP) Tests for testing the truncated parameters with its specific value of one-parameter-truncated family of distributions which needs the distribution of order statistics. Having derived these distributions, the UMP tests have been obtained. Further the power functions have been given for different values of the parameters. Also the results of the test and power function have been applied to some specific …

    Published in Research & Reviews : Journal of Statistics · Vol. 8, Issue 2, 2019 · pp. 1–9 Read article

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