Estimation of the entropy of several exponential distributions is considered. A general inadmissibility result for the scale equivariant estimators is proved. The results are extended to the case of unequal sample sizes. Risk functions of proposed estimators are compared numerically.

We provide some characterization results of the first order statistic based on the generalized survival entropy and its dynamic version. We obtain characterization results of the generalized Pareto distribution. A generalization of the failure entropy of order α, namely generalized survival...

Weibull mixtures have been used extensively in reliability and survival analysis, and they have also been generalized by allowing negative mixing weights, which arise naturally under the formation of some structures of reliability systems. These models provide flexible distributions for modeling...

The aggregate claim amount in a particular time period is a quantity of fundamental importance for proper management of an insurance company and also for pricing of insurance coverages. In this paper, we show that the proportional hazard rates (PHR) model, which includes some well-known...