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November 2013 The complementary exponential power series distribution
José Flores D., Patrick Borges, Vicente G. Cancho, Francisco Louzada
Braz. J. Probab. Stat. 27(4): 565-584 (November 2013). DOI: 10.1214/11-BJPS182


In this paper, we introduce the complementary exponential power series distributions, with failure rate increasing, which is complementary to the exponential power series model proposed by Chahkandi and Ganjali [Comput. Statist. Data Anal. 53 (2009) 4433–4440]. The new class of distribution arises on latent complementary risks scenarios, where the lifetime associated with a particular risk is not observable, rather we observe only the maximum lifetime value among all risks. This new class contains several distributions as a particular case. The properties of the proposed distribution class are discussed, such as quantiles, moments and order statistics. Estimation is carried out via maximum likelihood. Simulation results on maximum likelihood estimation are presented. A real application illustrates the usefulness of the new distribution class.


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José Flores D.. Patrick Borges. Vicente G. Cancho. Francisco Louzada. "The complementary exponential power series distribution." Braz. J. Probab. Stat. 27 (4) 565 - 584, November 2013.


Published: November 2013
First available in Project Euclid: 9 September 2013

zbMATH: 1298.62176
MathSciNet: MR3105044
Digital Object Identifier: 10.1214/11-BJPS182

Rights: Copyright © 2013 Brazilian Statistical Association


Vol.27 • No. 4 • November 2013
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