The generalized modified Weibull power series distribution: Theory and applications

S.F. Bagheri, E. Bahrami Samani and M. Ganjali

Computational Statistics & Data Analysis, 2016, vol. 94, issue C, 136-160

Abstract: A new distribution with increasing, decreasing, bathtub-shaped and unimodal failure rate forms called as the generalized modified Weibull power series (GMWPS) distribution is proposed. The new distribution is constructed based on a latent complementary risk problem and is obtained by compounding generalized modified Weibull (GMW) and power series distributions. The new distribution contains, as special submodels, several important distributions which are discussed in the literature, such as generalized modified Weibull Poisson (GMWP) distribution, generalized modified Weibull Geometric (GMWG) distribution, generalized modified Weibull Logarithmic (GMWL) distribution, generalized modified Weibull Binomial (GMWB) distribution, among others.

Keywords: Generalized modified Weibull distribution; Power series distributions; Goodness-of-fit tests; Hazard function; EM-algorithm; Fisher’s information matrix; Residual life function (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:94:y:2016:i:c:p:136-160

DOI: 10.1016/j.csda.2015.08.008

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