Abstract

In this paper some of the important statistical properties such as Bonferroni and Lorenz curves with their indices, stress-strength reliability, Renyi entropy and order statistics of Uma distribution have been obtained. The applications and goodness of fit of the distribution have been discussed with four real lifetime data sets and the fit has been compared with one-parameter lifetime distributions including Sujatha, Akash, Shanker, Lindley and exponential distributions. The goodness of fit of Uma distribution reveals that it is the best distribution among the considered distributions.

Keywords

Uma distribution, statistical properties, parameter estimation, simulation study, goodness of fit