Selection of Efficient Parameter Estimation Method for Two-Parameter Weibull Distribution

Several studies have considered various scheduling methods and reliability functions to determine the optimum maintenance time. These methods and functions correspond to the lowest cost by using the maximum likelihood estimator to evaluate the model parameters. However, this paper aims to estimate t...

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Autores principales:	Mohammed M. A. Almazah, Muhammad Ismail
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/71a81fd139854ee69960039505101ba7
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spelling	oai:doaj.org-article:71a81fd139854ee69960039505101ba72021-11-29T00:56:41ZSelection of Efficient Parameter Estimation Method for Two-Parameter Weibull Distribution1563-514710.1155/2021/5806068https://doaj.org/article/71a81fd139854ee69960039505101ba72021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5806068https://doaj.org/toc/1563-5147Several studies have considered various scheduling methods and reliability functions to determine the optimum maintenance time. These methods and functions correspond to the lowest cost by using the maximum likelihood estimator to evaluate the model parameters. However, this paper aims to estimate the parameters of the two-parameter Weibull distribution (α, β). The maximum likelihood estimation method, modified linear exponential loss function, and Wyatt-based regression method are used for the estimation of the parameters. Minimum mean square error (MSE) criterion is used to evaluate the relative efficiency of the estimators. The comparison of the different parameter estimation methods is conducted, and the efficiency of these methods is observed, both mathematically and experimentally. The simulation study is conducted for comparison of samples sizes (10, 50, 100, 150) based on the mean square error (MSE). It is concluded that the maximum likelihood method was found to be the most efficient method for all sample sizes used in the research because it achieved the least MSE compared with other methods.Mohammed M. A. AlmazahMuhammad IsmailHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 Mohammed M. A. Almazah Muhammad Ismail Selection of Efficient Parameter Estimation Method for Two-Parameter Weibull Distribution
description	Several studies have considered various scheduling methods and reliability functions to determine the optimum maintenance time. These methods and functions correspond to the lowest cost by using the maximum likelihood estimator to evaluate the model parameters. However, this paper aims to estimate the parameters of the two-parameter Weibull distribution (α, β). The maximum likelihood estimation method, modified linear exponential loss function, and Wyatt-based regression method are used for the estimation of the parameters. Minimum mean square error (MSE) criterion is used to evaluate the relative efficiency of the estimators. The comparison of the different parameter estimation methods is conducted, and the efficiency of these methods is observed, both mathematically and experimentally. The simulation study is conducted for comparison of samples sizes (10, 50, 100, 150) based on the mean square error (MSE). It is concluded that the maximum likelihood method was found to be the most efficient method for all sample sizes used in the research because it achieved the least MSE compared with other methods.
format	article
author	Mohammed M. A. Almazah Muhammad Ismail
author_facet	Mohammed M. A. Almazah Muhammad Ismail
author_sort	Mohammed M. A. Almazah
title	Selection of Efficient Parameter Estimation Method for Two-Parameter Weibull Distribution
title_short	Selection of Efficient Parameter Estimation Method for Two-Parameter Weibull Distribution
title_full	Selection of Efficient Parameter Estimation Method for Two-Parameter Weibull Distribution
title_fullStr	Selection of Efficient Parameter Estimation Method for Two-Parameter Weibull Distribution
title_full_unstemmed	Selection of Efficient Parameter Estimation Method for Two-Parameter Weibull Distribution
title_sort	selection of efficient parameter estimation method for two-parameter weibull distribution
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/71a81fd139854ee69960039505101ba7
work_keys_str_mv	AT mohammedmaalmazah selectionofefficientparameterestimationmethodfortwoparameterweibulldistribution AT muhammadismail selectionofefficientparameterestimationmethodfortwoparameterweibulldistribution
_version_	1718407714720186368

Selection of Efficient Parameter Estimation Method for Two-Parameter Weibull Distribution

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