A three-parameter continuous distribution is constructed, using a power transformation related to the transmuted inverse Rayleigh (TIR) distribution. A comprehensive account of the statistical properties is provided, including the following: the quantile function, moments, incomplete moments,...

In this paper the analysis of the collective risk model assuming Erlang loss, when the claim frequency follows the discrete generalized Lindley distribu- tion, is considered. After providing some new results of this discrete model, analytical expressions for the aggregate claim size distribution...

In recent years, modifications of the classical Lindley distribution have been considered by many authors. In this paper, we introduce a new generalization of the Lindley distribution based on a mixture of exponential and gamma distributions with different mixing proportions and compare its...

The study describes the general concept of the XLindley distribution. Forms of density and hazard rate functions are investigated. Moreover, precise formulations for several numerical properties of distributions are derived. Extreme order statistics are established using stochastic ordering, the...

Modelling lifetime data with simple mathematical representations and an ease in obtain ing the parameter estimate of survival models are crucial quests pursued by survival re searchers. In this paper, we derived and introduced a one-parameter distribution called the Agu-Eghwerido (AGUE)...

We introduce a new generalized family of nonnegative continuous distributions by addingtwo extra parameters to a lifetime distribution, called the baseline distribution, by twice com-pounding a power series distribution. The new family, called the lifetime power series-powerseries family, has a...