충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제22권1호
  • /
  • Pages.25-30
  • /
  • 2009
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

ON SOME CHRACTERIZATIONS OF THE WEIBULL DISTRIBUTION

  • Chang, Se-Kyung (Department of Mathematics Education, Cheongju University)
  • 투고 : 2008.11.27
  • 심사 : 2009.02.13
  • 발행 : 2009.03.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we establish some characterizations which is satisfied by the independence of the upper record values from the Weibull distribution. One characterization of several results is that $X{\in}W$ EI(1, $\alpha$), $\alpha>0$, if and only if $\frac{X_{U(m)}}{X_{U(n)}}$ and $X_{U(n)}$, $1{\leq}m are independent.

키워드

참고문헌

  1. J. Aczel, Lectures on Functional Equations and Their Applications, Academic Press, NY, 1966.
  2. M. Ahsanuallah, Record Statistics, Nova Science Publishers, Inc., NY, 1995.
  3. M. Ahsanuallah, Record Values-Theory and Applications, University Press of America, Inc., NY, 2004.
  4. S. K. Chang, Characterizations of the Pareto distribution by independence of record values, J. Chungcheong Math. Soc. 20 (2007), no. 1 , 51-57.