PEMBANDINGAN METODE ESTIMASI TIGA PARAMETER PADA DISTRIBUSI WEIBULL

Weibull distribution is used to estimate the probability of failure of an item or component. The Weibull distribution has an important role in reliability and can be expressed in terms of two or three parameters. Those parameters are shape parameter (????), scale parameter (????), and location param...

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Main Author: Adji Fitrian Putri, Yasfiana
Format: Final Project
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/66413
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:66413
spelling id-itb.:664132022-06-28T09:53:12ZPEMBANDINGAN METODE ESTIMASI TIGA PARAMETER PADA DISTRIBUSI WEIBULL Adji Fitrian Putri, Yasfiana Indonesia Final Project three-parameter Weibull distribution, location parameter, maximum likelihood estimation, bayesian estimation, Weibull paper plot, trial and error INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/66413 Weibull distribution is used to estimate the probability of failure of an item or component. The Weibull distribution has an important role in reliability and can be expressed in terms of two or three parameters. Those parameters are shape parameter (????), scale parameter (????), and location parameter (?). Since the location parameter in the two-parameter Weibull distribution is neglected, the three-parameter Weibull distribution will generate a better characterization of the data and also could detect component failure before operation. In this research, a comparison of methods, to the find strengths and weaknesses, will be carried out in estimating parameters of three-parameter Weibull distribution. The methods being compared are the Maximum Likelihood Estimation, Bayesian Estimation and the Weibull Paper Plot (WPP) using a Trial and Error method. The comparison of the methods will be carried out in three stages, i.e., determining the steps in calculating parameters, testing them using sample data sets and execute the calculation in Microsoft Excel, and analyzing the test results. The aspects being analyzed are the complexity, flexibility, and accuracy. The comparison results show that the MLE is the easiest method in terms of complexity, whereas the Bayesian Estimation has the most complex calculations. Parameters estimation using WPP with Trial and Error can be executed for all data types and give reasonable results. Meanwhile, the MLE and Bayesian Estimation methods could not give ? negative results. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description Weibull distribution is used to estimate the probability of failure of an item or component. The Weibull distribution has an important role in reliability and can be expressed in terms of two or three parameters. Those parameters are shape parameter (????), scale parameter (????), and location parameter (?). Since the location parameter in the two-parameter Weibull distribution is neglected, the three-parameter Weibull distribution will generate a better characterization of the data and also could detect component failure before operation. In this research, a comparison of methods, to the find strengths and weaknesses, will be carried out in estimating parameters of three-parameter Weibull distribution. The methods being compared are the Maximum Likelihood Estimation, Bayesian Estimation and the Weibull Paper Plot (WPP) using a Trial and Error method. The comparison of the methods will be carried out in three stages, i.e., determining the steps in calculating parameters, testing them using sample data sets and execute the calculation in Microsoft Excel, and analyzing the test results. The aspects being analyzed are the complexity, flexibility, and accuracy. The comparison results show that the MLE is the easiest method in terms of complexity, whereas the Bayesian Estimation has the most complex calculations. Parameters estimation using WPP with Trial and Error can be executed for all data types and give reasonable results. Meanwhile, the MLE and Bayesian Estimation methods could not give ? negative results.
format Final Project
author Adji Fitrian Putri, Yasfiana
spellingShingle Adji Fitrian Putri, Yasfiana
PEMBANDINGAN METODE ESTIMASI TIGA PARAMETER PADA DISTRIBUSI WEIBULL
author_facet Adji Fitrian Putri, Yasfiana
author_sort Adji Fitrian Putri, Yasfiana
title PEMBANDINGAN METODE ESTIMASI TIGA PARAMETER PADA DISTRIBUSI WEIBULL
title_short PEMBANDINGAN METODE ESTIMASI TIGA PARAMETER PADA DISTRIBUSI WEIBULL
title_full PEMBANDINGAN METODE ESTIMASI TIGA PARAMETER PADA DISTRIBUSI WEIBULL
title_fullStr PEMBANDINGAN METODE ESTIMASI TIGA PARAMETER PADA DISTRIBUSI WEIBULL
title_full_unstemmed PEMBANDINGAN METODE ESTIMASI TIGA PARAMETER PADA DISTRIBUSI WEIBULL
title_sort pembandingan metode estimasi tiga parameter pada distribusi weibull
url https://digilib.itb.ac.id/gdl/view/66413
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