The Complementary Exponentiated Exponential Geometric Lifetime Distribution
Joint Authors
Marchi, Vitor
Louzada, Francisco
Carpenter, James
Source
Journal of Probability and Statistics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-18
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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, rth moment of the ith 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.
American Psychological Association (APA)
Louzada, Francisco& Marchi, Vitor& Carpenter, James. 2013. The Complementary Exponentiated Exponential Geometric Lifetime Distribution. Journal of Probability and Statistics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-476670
Modern Language Association (MLA)
Louzada, Francisco…[et al.]. The Complementary Exponentiated Exponential Geometric Lifetime Distribution. Journal of Probability and Statistics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-476670
American Medical Association (AMA)
Louzada, Francisco& Marchi, Vitor& Carpenter, James. The Complementary Exponentiated Exponential Geometric Lifetime Distribution. Journal of Probability and Statistics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-476670
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476670