The Additive Weibull-Geometric Distribution: Theory and Applications

• Main Authors: I. Elbatal, M.M. Mansour, Mohammad Ahsanullah
• Format: Article
• Language: English
• Published: Atlantis Press 2016-05-01
• Series: Journal of Statistical Theory and Applications (JSTA)
• Subjects: Additive Weibull distribution; Geometric distribution; Moments; Maximum likelihood.
• Online Access: https://www.atlantis-press.com/article/25856822.pdf

In this paper, we introduce a new class of lifetime distributions which is called the additive Weibull geometric (AWG) distribution. This distribution obtained by compounding the additive Weibull and geometric distributions. The new distribution has a number of well-known lifetime special sub-models such as modified Weibull geometric, Weibull geometric, exponential geometric, among several others. Some structural properties of the proposed new distribution are discussed. We propose the method of maximum likelihood for estimating the model parameters and obtain the observed information matrix. A real data set is used to illustrate the importance and flexibility of the new distribution.