The complementary exponentiated exponential geometric lifetime distribution
type: Item
instance of: scholarly article
title: The complementary exponentiated exponential geometric lifetime distribution
zbMATH Open document ID: 1273.62037
DOI: 10.1155/2013/502159
author: Francisco Louzada
author: James Carpenter
author: Vitor A. A. Marchi
published in: Journal of Probability and Statistics
publication date: 2013-05-31T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 62E15
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 91B30
Mathematics Subject Classification ID: 62P05
zbMATH DE Number: 6168866
Wikidata QID: Q58618845
describes a project that uses: R
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/502159
OpenAlex ID: W2077877258
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description: scientific article; zbMATH DE number 6168866