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Journal ArticleDOI

A Comparison of Maximum Likelihood and Bayesian Estimators for the Three-Parameter Weibull Distribution

Richard Smith, +1 more
- 01 Nov 1987 - 
- Vol. 36, Iss: 3, pp 358-369
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.

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Citations
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Journal Article

The Generalized Odd Lomax Generated Family of Distributions with Applications

TL;DR: In this paper, a new generated family of distributions under the name of "The generalized odd Lomax-G family" by adding three additional parameters to generalize any continuous baseline distribution is provided.
Journal ArticleDOI

Bimodal extension based on the skew-$t$-normal distribution

TL;DR: In this paper, a skew and uni/bi-modal extension of the Student-$t$ distribution is considered, which has wider ranges of skewness and kurtosis than the other skew distributions in literature.
References
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Book

Statistics of extremes

E. J. Gumbel
Journal ArticleDOI

Statistics of Extremes.

B. F. Kimball, +1 more
- 01 Mar 1961 - 
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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