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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 ArticleDOI

An alternative two-parameter gamma generated family of distributions: properties and applications

TL;DR: The method of maximum likelihood is used to estimate the model parameters and the observed information matrix is determined and a new regression model based on the logarithm of the roposed distribution is defineed.
Journal ArticleDOI

Trend-Cycle Decompositions of Real GDP Revisited: Classical and Bayesian Perspectives on an Unsolved Puzzle

TL;DR: In this paper, the authors show that the U.S. real GDP follows a trend stationary process (TSP) with the stochastic trend component explaining most of the variations in real GDP.
Journal ArticleDOI

Truncated Family of Distributions with Applications to Time and Cost to Start a Business

TL;DR: In this article, the authors introduce right-truncated and left truncated T-X families of distributions for time and cost to start a business and investigate the relationships between the families.
Journal Article

Parametric Models and Future Event Prediction Base on Right Censored Data

TL;DR: In this paper, the authors developed a parametric displacement models based on the time that the Internally Displaced Persons (IDPs) took to return from IDPs Camps to their ancestral homes in Northern Uganda.
Journal ArticleDOI

Proportional hazards model with quantile functions

TL;DR: In this paper, the reliability properties of the PHM using quantile functions are explored to study various properties of PHM and the quantile-based dynamic cumulative Kullback-Leibler divergence is studied.
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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