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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Journal ArticleDOI
Useful Generalization of the Inverse Lomax Distribution: Statistical Properties and Application to Lifetime Data
Obubu Maxwell,Ibeakuzie Precious Onyedikachi,Chinelo Ijeoma Obi-Okpala,Adeleke Akinrinade Kayode,Echebiri Udochukwu Victor +4 more
TL;DR: Inverse Lomax distribution is a member of the inverted family of distributions and discovered to be very flexible in analyzing situations with a realized non-monotonic failure rate.
Journal ArticleDOI
White OLED Weibull Life Prediction Using Maximum Likelihood Estimation
TL;DR: A theoretical model using Weibull distribution and maximum likelihood estimation (MLE) was established and the precise accelerated parameter β is particularly useful to predict the white OLED life within a shorter time, which provides significant guidelines to help engineers make decisions in design and manufacturing strategy from the aspect of reliability life.
DissertationDOI
Some contributions to the analysis of skew data on the line and circle
TL;DR: In this paper, the authors consider the skew-normal class of distributions on the line and its limiting general half-normal distribution and propose a number of tests for circular reflective symmetry about a known or specified median axis.
Journal ArticleDOI
Estimation Based on Progressively Censored Data from Weibull-Exponential Distribution
TL;DR: In this paper, a Weibull-exponential distribution is considered which is capable of modeling various shapes of failure rates and ageing criteria and the maximum likelihood estimates of unknown parameters and reliability characteristic are obtained.
The Length-Biased weighted Exponentiated Lomax Distribution
I. B. Abdul-Moniem,L. S. Diab +1 more
TL;DR: In this article, a new family of distributions called Length-Biased weighted Exponentiated Lomax Distribution (LBWELD) is introduced, and the estimation of unknown parameters for LBWELD is handled using Maximum Likelihood method.
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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