The Weibull-G Family of Probability Distributions
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The Weibull distribution is the most important distribution for problems in reliability as discussed by the authors, and it has been studied extensively in the literature, including in the context of the wider Weibbull-G family of distributions.Abstract:
The Weibull distribution is the most important distribution for problems in reliability. We study some mathematical properties of the new wider Weibull-G family of distributions. Some special models in the new family are discussed. The properties derived hold to any distribution in this family. We obtain general explicit expressions for the quantile function, ordinary and incomplete moments, generating function and order statistics. We discuss the estimation of the model parameters by maximum likelihood and illustrate the potentiality of the extended family with two applications to real data.read more
Citations
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The Generalized Odd Half-Cauchy Family of Distributions: Properties and Applications
TL;DR: In this article, the generalized odd half-Cauchy family (GOCF) was introduced and studied for continuous distributions with one extra parameter called GOCF, which is a generalized OCCF.
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The odd log-logistic Lindley Poisson model for lifetime data
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The Odd Burr-III Family of Distributions
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Marshall–Olkin Alpha Power Weibull Distribution: Different Methods of Estimation Based on Type-I and Type-II Censoring
Ehab M. Almetwally,Mohamed A. H. Sabry,Randa Alharbi,Dalia Alnagar,Sh. A. M. Mubarak,E. H. Hafez +5 more
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Power Lindley-G Family of Distributions
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Generalized Exponential Distributions
Rameshwar D. Gupta,Debasis Kundu +1 more
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Exponentiated Weibull family for analyzing bathtub failure-rate data
G.S. Mudholkar,D.K. Srivastava +1 more
TL;DR: In this article, a simple generalization of the Weibull distribution is presented, which is well suited for modeling bathtub failure rate lifetime data and for testing goodness-of-fit of the weibull and negative exponential models as subhypotheses.