The Weibull-G Family of Probability Distributions
Reads0
Chats0
TLDR
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
More filters
Posted Content
Second-Order Asymptotics of Conversions of Distributions and Entangled States Based on Rayleigh-Normal Probability Distributions
Wataru Kumagai,Masahito Hayashi +1 more
TL;DR: The asymptotic behavior of conversions between two independent and identical distributions up to the second-order conversion rate when the conversion is produced by a deterministic function from the input probability space to the output probability space is discussed.
Journal ArticleDOI
The Exponentiated Truncated Inverse Weibull-Generated Family of Distributions with Applications
TL;DR: A generalization of the so-called truncated inverse Weibull-generated family of distributions by the use of the power transform, adding a new shape parameter, which constitutes a new four-parameter lifetime distribution which brightens by the multitude of different shapes of the corresponding probability density and hazard rate functions.
Journal ArticleDOI
Extended Odd Fréchet-G Family of Distributions
TL;DR: In this paper, the authors developed a new class of distributions called the extended odd Frechet family of distributions for modifying existing standard distributions, which can provide reasonable parametric fit to the given data set compared to other existing distributions.
Journal ArticleDOI
The Odd Weibull Inverse Topp–Leone Distribution with Applications to COVID-19 Data
TL;DR: In this article, the odd Weibull inverted Topp-Leone (OWITL) distribution is used to estimate the unknown parameters of OWITL distribution, maximum likelihood, least square, weighted least squares, maximum product spacing, Cramer-von Mises estimators, and Anderson-Darling estimation methods are used.
Journal ArticleDOI
The Extended Alpha Power Transformed Family of Distributions: Properties and Applications
TL;DR: In this article, a new family of lifetime distributions by adding an additional parameter to the existing distributions is introduced, which is called, the extended alpha power transformed family of distributions, which can be used to model data with increasing, decreasing or bathtub shaped hazard rates.
References
More filters
Journal Article
R: A language and environment for statistical computing.
TL;DR: Copyright (©) 1999–2012 R Foundation for Statistical Computing; permission is granted to make and distribute verbatim copies of this manual provided the copyright notice and permission notice are preserved on all copies.
Journal ArticleDOI
On the Nature of the Function Expressive of the Law of Human Mortality, and on a New Mode of Determining the Value of Life Contingencies
TL;DR: The frequent opportunities I have had of receiving pleasure from your writings and conversation, have induced me to prefer offering to the Royal Society through your medium, this Paper on Life Contingencies, which forms part of a continuation of my original paper on the same subject, published among the valuable papers of the Society, as by passing through your hands it may receive the advantage of your judgment.
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.