Journal ArticleDOI
The Harris Extended Exponential Distribution
TLDR
In this paper, a new lifetime distribution is proposed and studied, where the Harris extended exponential is obtained from a mixture of the exponential and Harris distributions, which arises from a branching process, and several structural properties of the new distribution are discussed, including moments, generating function and order statistics.Abstract:
A new lifetime distribution is proposed and studied. The Harris extended exponential is obtained from a mixture of the exponential and Harris distributions, which arises from a branching process. Several structural properties of the new distribution are discussed, including moments, generating function and order statistics. The new distribution can model data with increasing or decreasing failure rate. The shape of the hazard rate function is controlled by one of the added parameters in an uncomplicated manner. An application to a real dataset illustrates the usefulness of the new distribution.read more
Citations
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Table Of Integrals Series And Products
TL;DR: The table of integrals series and products is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Journal ArticleDOI
A New Lifetime Model: The Gamma Extended Fréchet Distribution
Ronaldo V. da Silva,Thiago A. N. de Andrade,Diego B.M. Maciel,Renilma P. S. Campos,Gauss M. Cordeiro +4 more
TL;DR: An application to a real data set shows that the new distribution can provide a better fit than other classical lifetime models and it is hoped that this generalization may attract wider applications in reliability, biology and survival analysis.
Journal ArticleDOI
The Topp-Leone Generated Weibull Distribution: Regression Model, Characterizations and Applications
TL;DR: In this paper, a new four-parameter lifetime model called the Topp Leone Generated Weibull (TLGW) distribution is introduced, which is a generalization of the two parameter Weibell distribution using the genesis of Topp-Leone distribution.
Journal ArticleDOI
A New Three-Parameter Exponential Distribution with Variable Shapes for the Hazard Rate: Estimation and Applications
TL;DR: In this article, the extended odd Weibull exponential distribution (EOWED) was proposed, which can have constant, decreasing, increasing, bathtub, upside-down bathtub and reversed-J shaped hazard rates.
Journal ArticleDOI
The Heavy-Tailed Exponential Distribution: Risk Measures, Estimation, and Application to Actuarial Data
TL;DR: In this article, the authors proposed a new heavy-tailed exponential distribution that accommodates bathtub, upside-down bath tub, decreasing, decreasing-constant, and increasing hazard rates.
References
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Table Of Integrals Series And Products
TL;DR: The table of integrals series and products is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Journal ArticleDOI
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.
Journal ArticleDOI
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.
Journal ArticleDOI
A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families
Albert W. Marshall,Ingram Olkin +1 more
TL;DR: In this article, a new way of introducing a parameter to expand a family of distributions is introduced and applied to yield a new two-parameter extension of the exponential distribution which may serve as a competitor to such commonly-used twoparameter families of life distributions as the Weibull, gamma and lognormal distributions.
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