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
More filters
Journal ArticleDOI
Comparison of the Bayesian Methods on Interval-Censored Data for Weibull Distribution
TL;DR: In this paper, the estimation of the maximum likelihood estimator and the Bayesian estimator of the Weibull distribution with interval-censored data is considered. And the comparison of the two methods are made with respect to the mean square error (MSE) to determine the best for estimating the scale and shape parameters.
Power Prakaamy Distribution and its Applications
TL;DR: In this article, a two-parameter power Prakaamy distribution (PPKD) has been proposed and the statistical properties including behavior of the density function, moments and moments based measures have been discussed.
Extreme Rainfall In A Changing Climate: New Analysis And Estimation Considerations For Infrastructure Design
TL;DR: In this article, a comprehensive analysis of historical rainfall data to assess the changes in extreme rainfall patterns, and the time-varying estimates of climate-related risk to infrastructure is presented.
Proceedings ArticleDOI
A New Generalization of Ailamujia Distribution with Real Life Applications
TL;DR: A generalization of Ailamujia distribution namely Power-Lindley Ailmujia (PLA) distribution is proposed, which is more flexible and has increasing, reverse J and bathtub hazard rates.
References
More filters
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.
Related Papers (5)
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