Pendeteksian Outlier pada Regresi Nonlinier dengan Metode statistik Likelihood Displacement

Outlier is an observation that much different (extreme) from the other observational data, or data can be interpreted that do not follow the general pattern of the model. Sometimes outliers provide information that can not be provided by other data. That's why outliers should not just be elimin...

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Main Author: Siti Tabi'atul Hasanah
Format: Article
Language:English
Published: Mathematics Department UIN Maulana Malik Ibrahim Malang 2012-11-01
Series:Cauchy: Jurnal Matematika Murni dan Aplikasi
Subjects:
Online Access:https://ejournal.uin-malang.ac.id/index.php/Math/article/view/3127
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author Siti Tabi'atul Hasanah
author_facet Siti Tabi'atul Hasanah
author_sort Siti Tabi'atul Hasanah
collection DOAJ
description Outlier is an observation that much different (extreme) from the other observational data, or data can be interpreted that do not follow the general pattern of the model. Sometimes outliers provide information that can not be provided by other data. That's why outliers should not just be eliminated. Outliers can also be an influential observation. There are many methods that can be used to detect of outliers. In previous studies done on outlier detection of linear regression. Next will be developed detection of outliers in nonlinear regression. Nonlinear regression here is devoted to multiplicative nonlinear regression. To detect is use of statistical method likelihood displacement. Statistical methods abbreviated likelihood displacement (LD) is a method to detect outliers by removing the suspected outlier data. To estimate the parameters are used to the maximum likelihood method, so we get the estimate of the maximum. By using LD method is obtained i.e likelihood displacement is thought to contain outliers. Further accuracy of LD method in detecting the outliers are shown by comparing the MSE of LD with the MSE from the regression in general. Statistic test used is Λ. Initial hypothesis was rejected when proved so is an outlier.
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spelling doaj.art-a258fe9cb8744c2ead3bd1ed11d697622022-12-22T03:26:28ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442012-11-012317718310.18860/ca.v2i3.31272766Pendeteksian Outlier pada Regresi Nonlinier dengan Metode statistik Likelihood DisplacementSiti Tabi'atul Hasanah0Mahasiswa Jurusan Matematika UIN Maulana Malik Ibrahim MalangOutlier is an observation that much different (extreme) from the other observational data, or data can be interpreted that do not follow the general pattern of the model. Sometimes outliers provide information that can not be provided by other data. That's why outliers should not just be eliminated. Outliers can also be an influential observation. There are many methods that can be used to detect of outliers. In previous studies done on outlier detection of linear regression. Next will be developed detection of outliers in nonlinear regression. Nonlinear regression here is devoted to multiplicative nonlinear regression. To detect is use of statistical method likelihood displacement. Statistical methods abbreviated likelihood displacement (LD) is a method to detect outliers by removing the suspected outlier data. To estimate the parameters are used to the maximum likelihood method, so we get the estimate of the maximum. By using LD method is obtained i.e likelihood displacement is thought to contain outliers. Further accuracy of LD method in detecting the outliers are shown by comparing the MSE of LD with the MSE from the regression in general. Statistic test used is Λ. Initial hypothesis was rejected when proved so is an outlier.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/3127likelihood displacementmaximum likelihood estimationmultiplicative nonlinear regressionoutlier
spellingShingle Siti Tabi'atul Hasanah
Pendeteksian Outlier pada Regresi Nonlinier dengan Metode statistik Likelihood Displacement
Cauchy: Jurnal Matematika Murni dan Aplikasi
likelihood displacement
maximum likelihood estimation
multiplicative nonlinear regression
outlier
title Pendeteksian Outlier pada Regresi Nonlinier dengan Metode statistik Likelihood Displacement
title_full Pendeteksian Outlier pada Regresi Nonlinier dengan Metode statistik Likelihood Displacement
title_fullStr Pendeteksian Outlier pada Regresi Nonlinier dengan Metode statistik Likelihood Displacement
title_full_unstemmed Pendeteksian Outlier pada Regresi Nonlinier dengan Metode statistik Likelihood Displacement
title_short Pendeteksian Outlier pada Regresi Nonlinier dengan Metode statistik Likelihood Displacement
title_sort pendeteksian outlier pada regresi nonlinier dengan metode statistik likelihood displacement
topic likelihood displacement
maximum likelihood estimation
multiplicative nonlinear regression
outlier
url https://ejournal.uin-malang.ac.id/index.php/Math/article/view/3127
work_keys_str_mv AT sititabiatulhasanah pendeteksianoutlierpadaregresinonlinierdenganmetodestatistiklikelihooddisplacement