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A new generalization of the Weibull-geometric distribution with bathtub failure rate

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  • Vahid Nekoukhou
  • Hamid Bidram

Abstract

In this paper, the researchers attempt to introduce a new generalization of the Weibull-geometric distribution. The failure rate function of the new model is found to be increasing, decreasing, upside-down bathtub, and bathtub-shaped. The researchers obtained the new model by compounding Weibull distribution and discrete generalized exponential distribution of a second type, which is a generalization of the geometric distribution. The new introduced model contains some previously known lifetime distributions as well as a new one. Some basic distributional properties and moments of the new model are discussed. Estimation of the parameters is illustrated and the model with two known real data sets is examined.

Suggested Citation

  • Vahid Nekoukhou & Hamid Bidram, 2017. "A new generalization of the Weibull-geometric distribution with bathtub failure rate," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(9), pages 4296-4310, May.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:9:p:4296-4310
    DOI: 10.1080/03610926.2015.1081949
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    Cited by:

    1. Muhammad Zubair & Muhammad H. Tahir & Gauss M. Cordeiro & Ayman Alzaatreh & Edwin M. M. Ortega, 2018. "The power-Cauchy negative-binomial: properties and regression," Journal of Statistical Distributions and Applications, Springer, vol. 5(1), pages 1-17, December.

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