충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제30권3호
  • /
  • Pages.337-340
  • /
  • 2017
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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ON CHARACTERIZATIONS OF THE POWER DISTRIBUTION VIA THE IDENTICAL HAZARD RATE OF LOWER RECORD VALUES

  • 투고 : 2017.05.30
  • 심사 : 2017.07.13
  • 발행 : 2017.08.15
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초록

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

  1. J. Aczel, Lectures on Functional Equation and Their Applications, Academic Press, Newyork, 1966.
  2. M. Ahsanuallah, Record values and the exponential distribution, Ann. Inst. Statist. Math. 30 (1978), Part A, 429-433. https://doi.org/10.1007/BF02480233
  3. M. Ahsanuallah, A note the characterization of Pareto distribution by the hazard rate of upper record values, Pak. J. Statist. 29 (2013), 447-452.
  4. M. Ahsanuallah and Z. Raqab, Bounds and Characterizations of Record Statistics, Nova science Publishers, Inc. (2004).