Journal ArticleDOI
A Comparison of Maximum Likelihood and Bayesian Estimators for the Three-Parameter Weibull Distribution
Richard Smith,J. C. Naylor +1 more
TLDR
In this article, maximum likelihood and Bayesian estimators are developed and compared for the three-parameter Weibull distribution, and the authors conclude that there are practical advantages to the Bayesian approach.Abstract:
Maximum likelihood and Bayesian estimators are developed and compared for the three‐parameter Weibull distribution. For the data analysed in the paper, the two sets of estimators are found to be very different. The reasons for this are explored, and ways of reducing the discrepancy, including reparametrization, are investigated. Our overall conclusion is that there are practical advantages to the Bayesian approach.read more
Citations
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On generalized weibull-rayleigh distribution: its properties and applications
TL;DR: In this paper, a generalized Weibull-Rayleigh distribution (GWRD) is proposed for continuous probability distributions, which is a special case of the two-parameter Weibell distribution when the shape parameter takes on a value 2.
Journal ArticleDOI
A novel Muth generalized family of distributions: Properties and applications to quality control
TL;DR: In this paper , the authors proposed a novel family of distributions called the odd Muth-G distributions by using Transformed-Transformer methodology and study their essential properties, which can provide numerous special models with significant applications in reliability analysis.
Journal ArticleDOI
A New Family of Distributions Based on the Hypoexponential Distribution with Fitting Reliability Data
TL;DR: In this paper, a new general family of distributions using the hypoexponential distribution is introduced and studied, and a special case of this family is explored in detail, corresponding to a new finite generalized mixture of generalized exponential distributions.
Journal ArticleDOI
The Marshall-Olkin Extended Weibull-Exponential Distribution: Properties and Applications
TL;DR: In this paper, a new probability distribution is introduced following the work of Marshall and Olkin [1], and expressions for some of its properties such as limiting behavior, quantile function, moments, moment generating function, order statistics, entropy, and reliability functions are derived.
References
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Journal ArticleDOI
Statistical Models and Methods for Lifetime Data.
Brian Francis,Jerald F. Lawless +1 more
Journal ArticleDOI
Maximum likelihood estimation in a class of nonregular cases
TL;DR: In this article, the authors consider maximum likelihood estimation of the parameters of a probability density which is zero for x 2, the information matrix is finite and the classical asymptotic properties continue to hold.
Journal ArticleDOI
Estimating Parameters in Continuous Univariate Distributions with a Shifted Origin
TL;DR: In this paper, a general method of estimating parameters in continuous univariate distributions is proposed, which is especially suited to cases where one of the parameters is an unknown shifted origin and is shown to give consistent estimators with asymptotic efficiency equal to ML estimators when these exist.
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