Azzalini (Scand J Stat 12:171–178, <CitationRef CitationID="CR3">1985</CitationRef>) provided a methodology to introduce skewness in a normal distribution. Using the same method of Azzalini (<CitationRef CitationID="CR3">1985</CitationRef>), the skew logistic distribution can be easily obtained by introducing skewness to the logistic distribution. For the skew logistic...</citationref></citationref>

A new lifetime distribution is introduced based on compounding Pareto and Poisson--Lindley distributions. Several statistical properties of the distribution are established, including behavior of the probability density function and the failure rate function, heavy- and long-right tailedness,...

In this paper, we discuss different predictors of times to failure of units censored in multiple stages in a progressively censored sample from Pareto distribution. The best linear unbiased predictors, maximum likelihood predictors and approximate maximum likelihood predictors are considered. We...

In this paper, we introduce some mixed integer-valued autoregressive models of orders 1 and 2 with geometric marginal distributions, denoted by MGINAR(1) and MGINAR(2), using a mixture of the well-known binomial and the negative binomial thinning. The distributions of the innovation processes...