On the Ratio of two Independent Exponentiated Pareto Variables

Authors

  • M. Masoom Ali Dept. of Mathematical Sciences, Ball State University, Indiana, USA
  • Manisha Pal Dept. of Statistics, University of Calcutta, India
  • Jungsoo Woo Dept. of Statistics, Yeungnam University, Gyongsan, South Korea

DOI:

https://doi.org/10.17713/ajs.v39i4.253

Abstract

In this paper we derive the distribution of the ratio of two independent exponentiated Pareto random variables, X and Y , and study its properties. We also find the UMVUE of Pr(X < Y ), and the UMVUE of its variance. As some of the expressions could not be expressed in closed forms, some special functions have been used to evaluate them.

References

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Published

2016-02-24

How to Cite

Masoom Ali, M., Pal, M., & Woo, J. (2016). On the Ratio of two Independent Exponentiated Pareto Variables. Austrian Journal of Statistics, 39(4), 329–340. https://doi.org/10.17713/ajs.v39i4.253

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Articles