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arXiv · 1402.5264

Exponentiated Weibull-logarithmic Distribution: Model, Properties and Applications

Eisa Mahmoudi·Afsaneh Sepahdar·Artur Lemonte
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Abstract

In this paper, we introduce a new four-parameter generalization of the exponentiated Weibull (EW) distribution, called the exponentiated Weibull-logarithmic (EWL) distribution, which obtained by compounding EW and logarithmic distributions. The new distribution arises on a latent complementary risks scenario, in which the lifetime associated with a particular risk is not observable; rather, we observe only the maximum lifetime value among all risks. The distribution exhibits decreasing, increasing, unimodal and bathtub-shaped hazard rate functions, depending on its parameters and contains several lifetime sub-models such as: generalized exponential-logarithmic (GEL), complementary Weibull-logarithmic (CWL), complementary exponential-logarithmic (CEL), exponentiated Rayleigh-logarithmic (ERL) and Rayleigh-logarithmic (RL) distributions. We study various properties of the new distribution and provide numerical examples to show the flexibility and potentiality of the model.

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Eisa Mahmoudi, Afsaneh Sepahdar, Artur Lemonte. 2014-02-21. Exponentiated Weibull-logarithmic Distribution: Model, Properties and Applications. https://arxiv.org/abs/1402.5264

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