New Estimators for Weibull Distribution Parameters: Comprehensive Comparative Study for Weibull Distribution

Sadani, Sahar; Abdollahnezhad, Kamel; Teimouri, Mahdi; Ranjbar, Vahid

doi:10.52547/jsri.16.1.33

JSRI

2019

DOI: 10.52547/jsri.16.1.33

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New Estimators for Weibull Distribution Parameters: Comprehensive Comparative Study for Weibull Distribution

Sahar Sadani¹,

Kamel Abdollahnezhad²,

Mahdi Teimouri³

et al.

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Cited by 5 publications

References 37 publications

(39 reference statements)

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Estimation of parameters and quantiles of the Weibull distribution

Jokiel-Rokita

Pia̧tek

2022

Stat Papers

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We propose three new estimators of the Weibull distribution parameters which lead to three new plug-in estimators of quantiles. One of them is a modification of the maximum likelihood estimator and two of them are based on nonparametric estimators of the Gini coefficient. We also make some review of estimators of the Weibull distribution parameters and quantiles. We compare the small sample performance (in terms of bias and mean squared error) of the known and new estimators and extreme quantiles. Based on simulations, we obtain, among others, that the proposed modification of the maximum likelihood estimator of the shape parameter has a smaller bias and mean squared error than the maximum likelihood estimator, and is better or as good as known estimators when the sample size is not very small. Moreover, one of the proposed estimator, based on the nonparametric estimator of the Gini coefficient, leads to good extreme quantiles estimates (better than the maximum likelihood estimator) in the case of small sample sizes.

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Estimation of parameters and quantiles of the Weibull distribution

Jokiel-Rokita

Pia̧tek

2022

Stat Papers

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A new approach to estimate parameters of the two-parameter Weibull distribution

Karahasan

2024

Statistics

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A comparative study for parameter estimation of the Weibull distribution in a small sample size: An application to spring fatigue failure data

Yang

Xie

Yang

et al. 2022

Quality Engineering

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New Estimators for Weibull Distribution Parameters: Comprehensive Comparative Study for Weibull Distribution

Cited by 5 publications

References 37 publications

Estimation of parameters and quantiles of the Weibull distribution

Estimation of parameters and quantiles of the Weibull distribution

A new approach to estimate parameters of the two-parameter Weibull distribution

A comparative study for parameter estimation of the Weibull distribution in a small sample size: An application to spring fatigue failure data

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