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The Poisson-exponential lifetime distribution

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In this paper we proposed a new two-parameters lifetime distribution with increasing failure rate. The new distribution arises on a latent complementary risk problem base. The properties of the proposed distribution are discussed, including a formal proof of its probability density function and explicit algebraic formulae for its reliability and failure rate functions, quantiles and moments, including the mean and variance. A simple EM-type algorithm for iteratively computing maximum likelihood estimates is presented. The Fisher information matrix is derived analytically in order to obtaining the asymptotic covariance matrix. The methodology is illustrated on a real data set. © 2010 Elsevier B.V. All rights reserved.

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Complementary risks, EM algorithm, Exponential distribution, Poisson distribution, Survival analysis, Asymptotic covariance matrix, Data sets, EM algorithms, Exponential distributions, Failure rate functions, Formal proofs, Increasing failure rate, Life-time distribution, Maximum likelihood estimate, Algorithms, Bioinformatics, Covariance matrix, Distribution functions, Fisher information matrix, Maximum likelihood estimation, Probability, Probability density function, Risk analysis, Risk assessment

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Inglês

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Computational Statistics and Data Analysis, v. 55, n. 1, p. 677-686, 2011.

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