Improved Ridge-Type Estimators in Multivariate MultipleLinear Model
Publish place: The 12th Seminar on Linear Algebra and its Applications
Publish Year: 1402
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
SLAA12_039
تاریخ نمایه سازی: 6 شهریور 1402
Abstract:
This paper focus on estimating of the multivariate multiple linear models (MMLMs)when multicollinearity presents in the design matrix. Among the estimators proposedto tackle the problem of multicollinearity, the ridge estimator is popular. We proposethe ridge-type estimators of the coefficient matrix when the multicollinearity existsalong with the prior information about the coefficients. A simulation study is utilizedto compare the relative efficiency of proposed estimators and finally, we analyze a realdataset by the proposed estimators to show the usefulness of the proposed estimators.
Keywords:
Ordinary ridge estimator , restricted ridge-type estimator , James-Steinridge-type estimator , preliminary test ridge-type estimator.
Authors
Solmaz Seifollahi
Department of Statistics, University of Tabriz, Tabriz, Iran
Hossein Bevrani
Department of Statistics, University of Tabriz, Tabriz, Iran
Kaniav Kamary
CentraleSuplec, Laboratoire MICS, Paris, France