ENTROPY FOR PARRETO (iv), BURR, AND ITS ORDER STATISTICS DISTRIBUTIONS

Main aim of this paper is to derive the exact analytical expressions of entropy for Pareto, Burr and related distributions. Entropy for ith order statistic of these distributions corresponding to the random sample size n is introduced. These distributions arise as tractable parametric models in reliability, actuarial science, economics, finance and telecommunications. We showed that all the calculations can be obtained from one main dimensional integral, its expression is obtained through some particular change of variable. Indeed, we consider thet this technique for that improper integral has its own importance.

Keywords:

Gamma and bete functions , Polygamma fnctions , Entropy , Order Statistics , Pareto and Burr models