Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON SOME CHRACTERIZATIONS OF THE WEIBULL DISTRIBUTION

  • Chang, Se-Kyung (Department of Mathematics Education, Cheongju University)
  • Received : 2008.11.27
  • Accepted : 2009.02.13
  • Published : 2009.03.31
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Abstract

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.

Keywords

References

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  4. S. K. Chang, Characterizations of the Pareto distribution by independence of record values, J. Chungcheong Math. Soc. 20 (2007), no. 1 , 51-57.