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8 articles for “UMP test”
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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 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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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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On Uniformly Most Powerful Tests for Truncated Parameters of several One-Parameter-Truncated Family of Distributions
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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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
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Some Asymptotic Power Points for Testing the Parameters of Two Generalized Uniform Distributions
Abstract: In this paper, after getting the general form of the power functions for testing the one-sided and two-sided tests for generalized uniform distribution. Power points of some of the power functions of asymptotic tests are calculated and presented. The asymptotic tests for testing the parameters of generalized uniform distribution requires the conditional distribution of the complete sufficient statistic of the parameters of interest and also that of the nuisance parameter. …
Published in Research & Reviews : Journal of Statistics · Vol. 8, Issue 2, 2019 · pp. 29–33 Read article
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A Smart Framework that Combines Data Mining and Optimization for Different Applications
Abstract: Blending predictive data mining with metaheuristic optimization has become essential for tackling tough, real-world problems across all kinds of fields. Most existing methods stick to fixed algorithms, each focused on a tiny slice of the puzzle, barely budging when new variables or unpredictability show up—especially with messy, human-generated data. So, here’s the idea: a Unified Metaheuristic and Predictive Data Mining (UMPDM) framework that finally connects adaptive search methods with powerful …
Published in Research and Reviews : Journal of Computational Biology · Vol. 15, Issue 2, 2026 · pp. 10–14 Read article