Here we develop a new class of discrete distribution namely intervened negative binomial distribution and derive its probability generating function, mean, variance and an expression for its factorial moments. Estimation of the parameters of the distribution is described and the distribution has...

In this paper, we develop modified intervened Poisson distribution (MIPD) and consider some of its properties. Some real life data sets are given here to illustrate MIPD is the best fit among intervened generalized Poisson distribution (IGPD), intervened Poisson distribution (IPD) and Positive...

A new class of discrete distributions namely extended generalized hypergeometric probability distributions (EGHPD) is introduced as a generalization of generalized hypergeometric probability distributions, generalized Gegenbauer distributions and generalized Hermite distributions. All moments of...

An alternative form of hyper-Poisson distribution is introduced through its probability mass function and studies some of its important aspects such as mean, variance, expressions for its raw moments, factorial moments, probability generating function and recursion formulae for its...

This paper studies some important properties of the generalized hypergeometric probability distribution (GHPD) of Kemp (Sankhya-Series A, 1968) by establishing the existence of all the moments of the distribution and by deriving a formula for raw moments. Here we also obtain certain recurrence...

Here we develop an order k version of the zero-inflated logarithmic series distribution of Kumar and Riyaz [Staistica (accepted for publication), <CitationRef CitationID="CR10">2013b</CitationRef>] through its probability generating function, and derive an expression for its probability mass function. Certain recurrence relation for its...</citationref>

Here we consider a zero-inflated logarithmic series distribution (ZILSD) and study some of its properties. A modified form of ZILSD is also developed and derived several important aspects of it. The parameters of modified ZILSD are estimated by method of maximum likelihood and illustrated the...

Here we propose a new class of distributions as a generalized mixture of standard normal and skew normal distributions (GMNSND) and study some of its properties by deriving its characteristic function, mean, variance, coefficient of skewness etc. Further, certain reliability aspects of GMNSND...