The Complementary Exponentiated Exponential Geometric Lifetime Distribution

Francisco Louzada, Vitor Marchi and James Carpenter

Journal of Probability and Statistics, 2013, vol. 2013, 1-12

Abstract:

We proposed a new family of lifetime distributions, namely, complementary exponentiated exponential geometric distribution. This new family arises on a latent competing risk scenario, where the lifetime associated with a particular risk is not observable but only the maximum lifetime value among all risks. The properties of the proposed distribution are discussed, including a formal proof of its probability density function and explicit algebraic formulas for its survival and hazard functions, moments, r th moment of the i th order statistic, mean residual lifetime, and modal value. Inference is implemented via a straightforwardly maximum likelihood procedure. The practical importance of the new distribution was demonstrated in three applications where our distribution outperforms several former lifetime distributions, such as the exponential, the exponential-geometric, the Weibull, the modified Weibull, and the generalized exponential-Poisson distribution.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljps:502159

DOI: 10.1155/2013/502159

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