Distribution of the product of a pair of independent two-sided power variates


Gündüz S. , GENÇ A. İ.

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, cilt.45, ss.6149-6164, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 45 Konu: 20
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1080/03610926.2014.957861
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
  • Sayfa Sayısı: ss.6149-6164

Özet

The distributions of algebraic functions of random variables are important in theory of probability and statistics and other areas such as engineering, reliability, and actuarial applications, and many results based on various distributions are available in the literature. The two-sided power distribution is defined on a bounded range, and it is a generalization of the uniform, triangular, and power-function probability distributions. This paper gives the exact distribution of the product of two independent two-sided power-distributed random variables in a computable representation. The percentiles of the product are then computed, and a real data application is given.