Generalized linear exponential geometric distributions and its applications

摘要

This paper introduces an extension of the generalized linear exponential geometric distribution which offers a more flexible model for lifetime data. Several statistical properties of the distribution are explored, such as the density, (reversed) failure rate, (reversed) mean residual lifetime, moments, order statistics, among others. Estimation using the maximum likelihood and inference of a random sample from the distribution are investigated. A real data application illustrates the performance of the distribution. (C) 2018 Elsevier B.V. All rights reserved.