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Testing a Point Null Hypothesis against One-Sided for Non Regular and Exponential Families: the Reconcilability Condition to P-values and Posterior Probability
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نویسنده
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zolfaghari parisa ,chinipardaz rahim ,esmaily jafar
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منبع
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journal of the iranian statistical society - 2020 - دوره : 19 - شماره : 2 - صفحه:101 -117
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چکیده
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In this paper, the reconcilability between the p-value and the posterior probability in testing a point null hypothesis against the one-sided hypothesis is considered. two essential families, non regular and exponential family of distributions, are studied. it was shown in a non regular family of distributions; in some cases, it is possible to find a prior distribution function under which p-value and posterior probability are achieved. however, in the exponential family of distributions, this agreement is based on the complete monotonicity of a function of hazard rate
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کلیدواژه
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Completely Monotone ,Exponential Family of Distributions ,Non Regular Family of Distributions ,P-values ,Posterior Probability
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آدرس
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islamic azad university, ahvaz branch, department of statistics, Iran, islamic azad university, ahvaz branch, department of statistics, Iran. shahid chamran university, faculty of mathematics and computer sciences, department of statistics, iran, islamic azad university, ahvaz branch, department of mathematics, Iran
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پست الکترونیکی
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esmaily@iauahvaz.ac.ir
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Authors
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