Parameter estimation in replicated linear functional relationship model in the presence of outliers

被引：0

作者：

Arif, Azuraini Mohd ^{[1
]}

Zubairi, Yong Zulina ^{[2
]}

Hussin, Abdul Ghapor ^{[3
]}

机构：

[1] Univ Malaya, Inst Grad Studies, Kuala Lumpur 50603, Malaysia

[2] Univ Malaya, Ctr Fdn Studies Sci, Kuala Lumpur 50603, Malaysia

[3] Univ Pertahanan Nasional Malaysia, Fac Def Sci & Technol, Kuala Lumpur 57000, Malaysia

来源：

MALAYSIAN JOURNAL OF FUNDAMENTAL AND APPLIED SCIENCES | 2020年 / 16卷 / 02期

关键词：

Linear functional relationship model; outliers; replicated;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The relationship between two linear variables where both variables are observed with errors can be modeled using a linear functional relationship model. However, when there is no knowledge about the ratio of error variance, we proposed that one can use the replicated linear functional relationship model. The aim of this study is to compare the parameter estimates between unreplicated and replicated linear functional relationship model. The study also extends to examine the behavior of the estimators of the replicated linear functional relationship model in the presence of outliers. A simulation study is performed to investigate the performance of the model. In the absence of outlier, it is found that the value of the parameter estimates is almost similar for both models. Whereas in the presence of outliers, the parameter estimates of the replicated linear functional relationship model have a smaller mean square error as the number of observations increased. This suggests the superiority of the replicated model.

引用

页码：158 / 160

页数：3

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