A new generalization of the Weibull-geometric distribution with bathtub failure rate
- 3 March 2016
- journal article
- research article
- Published by Taylor & Francis Ltd in Communications in Statistics - Theory and Methods
- Vol. 46 (9), 4296-4310
- https://doi.org/10.1080/03610926.2015.1081949
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.Keywords
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