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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Modified Odd Weibull Family of Distributions: Properties and Applications
TL;DR: In this paper, a modified odd Weibull-G (MOW-G) family of continuous distributions is studied, which has the feature to use the Weibbull distribution as main generator and a new modification of the odd transformation, opening new horizon in terms of statistical modelling.
Journal ArticleDOI
The Gompertz extended generalized exponential distribution: properties and applications
TL;DR: In this paper, a new class of distribution in the exponential family of distributions called the Gompertz extended generalized exponential distribution (G-EGE) for life time processes is proposed.
Journal ArticleDOI
The Exponentiated Weibull-Power Function Distribution
Amal S. Hassan,Salwa M. Assar +1 more
TL;DR: In this article, the exponentiated Weibull power function distribution (EWEF) was proposed as an extension of the two-parameter power function and a generalization of the Weibell power function.
The odd generalized half-logistic Weibull-G family of distributions: properties and applications
TL;DR: In this paper, the odd generalized half logistic Weibull-G family of distributions was proposed, and a characterization based on conditional expectation was presented to examine efficiency of the maximum likelihood estimates.
The Weibull-Inverted Exponential Distribution:A Generalization of the Inverse ExponentialDistribution
TL;DR: In this article, the Inverse exponential distribution was extended using the weibull generalized family of distributions and the probability density function and cumulative density function were defined and some of its statistical properties were studied.
References
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Generalized Exponential Distributions
Rameshwar D. Gupta,Debasis Kundu +1 more
TL;DR: In this article, a three-parameter generalized exponential distribution (GED) was used for analysis of lifetime data, which is a particular case of the exponentiated Weibull distribution originally proposed by Mudholkar et al.
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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.