On a multivariate Lindley distribution

Mhamed Mesfioui and Abdulrahman M. Abouammoh

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 16, 8027-8045

Abstract: This article proposes a multivariate extension of the generalized Lindley distribution introduced by Abouammoh et al. (2015). The proposed model is based on a probabilistic construction in which several Lindley random variables are connected by a common shock. Many statistical properties of this new distribution are explored. In particular, explicit forms of product moments, moment-generating function, and conditional moments are derived. Explicit expressions of moment-based estimators of the underlying parameters of the proposed model are established. Estimation using the maximum likelihood procedure is also investigated. Simulations attesting to the quality of the proposed estimators are presented. Application of the proposed model in reliability is also discussed.

Date: 2017
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DOI: 10.1080/03610926.2016.1171355

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