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Unbiasing procedures for the Weibull distribution? Be careful

Gian Carlo Montanari, Giovanni Mazzanti, M. Cacciari, J.C. Fothergill

Open publisher page 2 citations

Abstract

In this paper, unbiasing procedures for the maximum likelihood method applied to the two-parameter Weibull function are dealt with. The performance of unbiasing methods applied to expected values and point estimates of the Weibull parameters, as well as the way to use the Monte Carlo method for the estimation of the expected values, are discussed. It is shown that the accuracy of the unbiasing methods can be significantly affected by several factors, such as the value of the shape parameter and the estimation of the expected value, and that some methods can be successfully applied to the point estimates of the Weibull parameters.

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What this paper is about

In this paper, unbiasing procedures for the maximum likelihood method applied to the two-parameter Weibull function are dealt with. The performance of unbiasing methods applied to expected values and point estimates of the Weibull parameters, as well as the way to use the Monte Carlo method for the estimation of the expected values, are discussed. It is shown that the accuracy of the unbiasing methods can be significantly affected by several factors, such as the value of the shape parameter and the estimation of the expected value, and that some methods can be successfully applied to the point estimates of the Weibull parameters.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, unbiasing procedures for the maximum likelihood method applied to the two-parameter Weibull function are dealt with. The performance of unbiasing methods applied to expected values and point estimates of the Weibull parameters, as well as the way to use the Monte Carlo method for the estimation of the expected values, are discussed. It is shown that the accuracy of the unbiasing methods can be significantly affected by several factors, such as the value of the shape parameter and the estimation of the expected value, and that some methods can be successfully applied to the point estimates of the Weibull parameters.

Key concepts: Weibull distribution, Point estimation, Shape parameter, Monte Carlo method, Weibull modulus, Statistics, Exponentiated Weibull distribution, Point (geometry)

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