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On the Weighted Mixed Almost Unbiased Ridge Estimator in Stochastic Restricted Linear Regression
Author(s) -
Chaolin Liu,
Hu Yang,
Jibo Wu
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/902715
Subject(s) - estimator , mean squared error , bias of an estimator , mathematics , ridge , statistics , linear regression , best linear unbiased prediction , algorithm , computer science , minimum variance unbiased estimator , artificial intelligence , paleontology , selection (genetic algorithm) , biology
We introduce the weighted mixed almost unbiased ridge estimator (WMAURE) based on the weighted mixed estimator (WME) (Trenkler and Toutenburg 1990) and the almost unbiased ridge estimator (AURE) (Akdeniz and Erol 2003) in linear regression model. We discuss superiorities of the new estimator under the quadratic bias (QB) and the mean square error matrix (MSEM) criteria. Additionally, we give a method about how to obtain the optimal values of parameters k and w. Finally, theoretical results are illustrated by a real data example and a Monte Carlo study

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