Abstract
We introduce a new family of distributions using truncated the Discrete Mittag- Leffler distribution. It can be considered as a generalization of the Marshall-Olkin family of distributions. Some properties of this new family are derived. As a particular case, a three parameter generalization of Uniform distribution is given special attention. The shape properties, moments, distributions of the order statistics, entropies are derived and estimation of the unknown parameters is discussed. An application in autoregressive time series modeling is also included.
Highlights
Many researchers are interested in search that introduces new families of distributions or generalization of distributions which can be used to describe the lifetimes of some devices or to describe sets of real data
The aim of this paper is to introduce a new family of univariate distributions by using discrete Mittag-Leffler truncated distribution
The newly constructed truncated Discrete Mittag-Leffler distribution can be considered as a generalization of Marshall-Olkin family of distributions since it reduces to Marshall-Olkin family when α = 1
Summary
Received: October 14, 2016; Accepted: November 7, 2016; Published: December 5, 2016
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