Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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ON CHARACTERIZATIONS OF THE PARETO DISTRIBUTION BY THE INDEPENDENT PROPERTY OF UPPER RECORD VALUES

  • Received : 2010.12.30
  • Accepted : 2011.02.15
  • Published : 2011.03.30
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Abstract

We present characterizations of the Pareto distribution by the independent property of upper record values in such a way that F(x) has a Pareto distribution if and only if $\frac{X_{U(n)}}{X_{U(m)}}$ and $X_{U(m)}$ are independent for $1{\leq}m. Futhermore, the characterizations should find that F(x) has a Pareto distribution if and only if $\frac{X_{U(n)}}{X_{U(n)}{\pm}X_{U(m)}}$ and $X_{U(m)}$ are independent for $1{\leq}m.

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Acknowledgement

Supported by : Dankook university

References

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  4. M. Y. Lee and E. H. Lim, On Characterizations of the weibull Distribution by the independent property of record values, J. Chungcheong Math. Soc. 23 (2010), 245-250.