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In this article, we present characterizations of the power distribution via the identical hazard rate of lower record values that $X_n$ has the power distribution if and only if for some fixed n, $n{\geq}1$, the hazard rate $h_W$ of $W=X_{L(n+1)}/X_{L(n)}$ is the same as the hazard rate h of $X_n$ or the hazard rate $h_V$ of $V=X_{L(n+2)}/X_{L(n+1)}$.
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참고문헌 (4)
참고문헌 신청
J. Aczel / 1966 / Lectures on Functional Equation and Their Applications / Academic Press
M. Ahsanuallah / 1978 / Record values and the exponential distribution / Ann. Inst. Statist. Math 30(Part A):429~433
M. Ahsanuallah / 2013 / A note the characterization of Pareto distribution by the hazard rate of upper record values / Pak. J. Statist 29:447~452
M. Ahsanuallah / 2004 / Bounds and Characterizations of Record Statistics / Nova science Publishers, Inc
M. Ahsanuallah / 1978 / Record values and the exponential distribution / Ann. Inst. Statist. Math 30(Part A):429~433
M. Ahsanuallah / 2013 / A note the characterization of Pareto distribution by the hazard rate of upper record values / Pak. J. Statist 29:447~452
M. Ahsanuallah / 2004 / Bounds and Characterizations of Record Statistics / Nova science Publishers, Inc
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