Journal ArticleDOI
The Beta Generalized Weibull distribution: Properties and applications
TLDR
The distribution is found to be superior to the existing sub models on being fitted to two real data sets and the non-linear equations for deriving the maximum likelihood estimators and the elements of the observed information matrix are presented.About:
This article is published in Reliability Engineering & System Safety.The article was published on 2012-06-01. It has received 94 citations till now. The article focuses on the topics: Generalized beta distribution & Exponentiated Weibull distribution.read more
Citations
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Reliability Engineering and System Safety
TL;DR: In this paper, a polynomial dimensional decomposition (PDD) method for global sensitivity analysis of stochastic systems subject to independent random input following arbitrary probability distributions is presented.
Journal ArticleDOI
Stochastic Ageing and Dependence for Reliability
TL;DR: This book aims to introduce simulation techniques for practitioners in the financial and risk management industry at an intermediate level by having extensive simulation examples using S–PLUS or Visual Basics.
Journal ArticleDOI
A new modified Weibull distribution
Saad J. Almalki,Jingsong Yuan +1 more
TL;DR: The model can be simplified by fixing one of the parameters and it still provides a better fit than existing models and it is demonstrated that the proposed distribution fits two well-known data sets better than other modified Weibull distributions including the latest beta modified WeIBull distribution.
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Modifications of the Weibull distribution: A review
TL;DR: An extensive review of some discrete and continuous versions of the modifications of the Weibull distribution to allow for non-monotonic hazard functions.
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The Logistic-Uniform Distribution and Its Applications
TL;DR: The Logistic-Uniform distribution provides great flexibility in modeling for symmetric, negatively and positively skewed, bathtub-shaped, “J”- shaped, and reverse ‘J’-shaped distributions, and can be used effectively in the analysis of survival data.
References
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Journal ArticleDOI
A Statistical Distribution Function of Wide Applicability
TL;DR: In this article, the applicability of statistics to a wide field of problems is discussed, and examples of simple and complex distributions are given, as well as a discussion of the application of statistics in a wide range of problems.
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
Beta-normal distribution and its applications
TL;DR: In this article, the authors introduced a general class of distributions generated from the logit of the beta random variable, a special case of this family is the beta-normal distribution, which provides great flexibility in modeling not only symmetric heavy-tailed distributions, but also skewed and bimodal distributions.
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.
Related Papers (5)
Exponentiated Weibull family for analyzing bathtub failure-rate data
G.S. Mudholkar,D.K. Srivastava +1 more