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
Lomax inverse Weibull model: properties, applications, and a modified Chi-squared goodness-of-fit test for validation
TL;DR: In this paper, a modified Chi-squared goodness-of-fit test based on the Nikulin-Rao-Robson statistic for censored and complete data is proposed, which can be used in survival and reliability data analysis.
Journal Article
Aradhana Distribution and Its Applications
TL;DR: In this paper, a new one parameter continuous distribution named "Aradhana distribution" for modeling lifetime data from biomedical science and engineering has been proposed, and its mathematical and statistical properties including its shape, moments, hazard rate function, mean residual life function, stochastic ordering, mean deviations, order statistics, Bonferroni and Lorenz curves, Renyi entropy measure, stress-strength reliability have been presented.
Journal ArticleDOI
A note on the sampling properties of the Vincentizing (quantile averaging) procedure
TL;DR: In this article, it was shown that generalized least squares can be used to estimate the parameters of the group distribution and provide accurate estimates of standard errors of parameters and can therefore be used in formal inference.
Journal ArticleDOI
Beta-Cauchy Distribution: Some Properties and Applications
TL;DR: The method of maximum likelihood is proposed to estimate the parameters of the four-parameter beta-Cauchy distribution and it is found to provide great flexibility in modeling symmetric and skewed heavy-tailed data sets.
Journal ArticleDOI
The Transmuted Marshall-Olkin Fr\'{e}chet Distribution: Properties and Applications
TL;DR: In this paper, a new four-parameter lifetime model is introduced, which extends the Marshall-Olkin Fr\'{e}chet distribution introduced by Krishna et al. (2013), called the transmuted Marshall-OLkin Fr'{e]chet distribution.
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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A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families
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