ON SHRINKAGE FACTORS IN EXPONENTIAL LIFE MODEL USING LINEX LOSS FUNCTION

  • Rakesh Srivastava Department of Statistics, Faculty of Science The M.S. University of Baroda, Vadodara, India
  • Tejal Shah Department of Statistics, Faculty of Science The M.S. University of Baroda, Vadodara, India
Keywords: Exponential Distribution, Scale Parameter, Shrinkage Factors, Asymmetric Loss Function, Relative Risk

Abstract

The study proposes various choices for shrinkage factors (weights) for the scale parameter of an exponential distribution under LINEX loss function. Shrinkage factor based on the test statistic has been considered. Another choice of shrinkage factor is also considered. It is observed that these testimators perform better than other estimators in this class, as the risk (s) of these compared to best available estimator turns out to be smaller. Some of the values of degree of asymmetry and level of significance for the best performance have been reported.

 

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Published
2018-12-11
Section
Articles