Estimation of the intercept parameter for linear regression model with uncertain non-sample prior information

Shahjahan Khan, Zahirul Hoque, A. K.Md E. Saleh

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

This paper considers alternative estimators of the intercept parameter of the linear regression model with normal error when uncertain non-sample prior information about the value of the slope parameter is available. The maximum likelihood, restricted, preliminary test and shrinkage estimators are considered. Based on their quadratic biases and mean square errors the relative performances of the estimators are investigated. Both analytical and graphical comparisons are explored. None of the estimators is found to be uniformly dominating the others. However, if the non-sample prior information regarding the value of the slope is not too far from its true value, the shrinkage estimator of the intercept parameter dominates the rest of the estimators.

Original languageEnglish
Pages (from-to)379-395
Number of pages17
JournalStatistical Papers
Volume46
Issue number3
DOIs
Publication statusPublished - Jul 2005
Externally publishedYes

Keywords

  • Bias
  • Maximum likelihood
  • Mean square error and relative efficiency
  • Preliminary test and shrinkage estimators
  • Regression model
  • Restricted
  • Uncertain non-sample prior information

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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