Estimating regression coefficients using weighted bootstrap with probability

Authors:
M. R. Norazan;Habshah Midi;A. H. M. R. Imon
Affiliations:
Faculty of Computer and Mathematical Sciences, University Technology MARA, Shah Alam, Selangor, Malaysia;Laboratory of Applied and Computational Statistics, Institute for Mathematical Research, University Putra Malaysia, Serdang, Selangor, Malaysia;Department of Mathematical Sciences, Ball State University, Muncie, IN
Venue:
WSEAS Transactions on Mathematics
Year:
2009

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Abstract

In this paper we propose a new Weighted Bootstrap with Probability (WBP). The basic idea of the proposed bootstrap technique is to do re-sampling with probabilities. These probabilities become the control mechanism for getting good estimates when the original data set contain multiple outliers. Numerical examples and simulation study are carried out to evaluate the performance of the WBP estimates as compared to the Bootstrap 1 and Diagnostic-Before Bootstrap estimates. The results of the study signify that the WBP method is more efficient than the other two methods.