Limiting Distributions of Generalised Poisson–Dirichlet Distributions Based on Negative Binomial Processes

Limiting Distributions for Branching Processes

Limiting Conditional Distributions for Birth-death Processes

In a recent paper [16], one of us identified all of the quasi-stationary distributions for a non-explosive, evanescent birth-death process for which absorption is certain, and established conditions for the existence of the corresponding limiting conditional distributions. Our purpose is to extend these results in a number of directions. We shall consider separately two cases depending on wheth...

New Limiting Distributions for Bellman–harris Processes

We present a number of new solutions to an integral equation arising in the limiting theory of Bellman–Harris processes. The argument proceeds via straightforward analysis of Mellin transforms. We also derive a criterion for the analyticity of the Laplace transform of the limiting distribution on Re(u) ≥ −c for some c > 0.

On Shewhart Control Charts for Zero-Truncated Negative Binomial Distributions

* Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, P. O. Box 33, PC 616, Birkat Al Mouz, Oman e-mail: [email protected]; [email protected] ** Department of Statistics, St. Anthony’s College, Shillong, Meghalaya, India e-mail: [email protected]

A Method to Expand Family of Continuous Distributions based on Truncated Distributions

 Abstract: A new method to generate various family of distributions is introduced. This method introduces a new two-parameter extension of the exponential distribution to illustrate its application. Some statistical and reliability properties of the new distribution, including explicit expressions for the moments, quantiles, mode, moment generating function, mean residual lifetime, stochas...