International Journal of Statistics and Systems
  • Year: 2010
  • Volume: 5
  • Issue: 4

Approximate Bayes Estimators of the Parameters of Weibull Model under Precautionary Loss Function

  • Author:
  • Uma Srivastava
  • Total Page Count: 14
  • Page Number: 505 to 518

Department of Mathematics and Statistics, D.D.U. Gorakhpur University, Gorakhpur-273001, U.P., India. e-mail: uma_stat@yahoo.co.in

AMS subject classification:

Abstract

The paper deals with the methods to obtain the approximate Bayes estimators of the two parameters, reliability and hazard rate functions of the weibull distribution by using Lindley approximation technique for type II censored samples. A bivariate prior density for the parameters, squared error loss function (SELF), Linex loss function (LLF) and Precautionary loss function (PLF) are used to obtained the approximate Bayes estimators. A Statistical software R is used for numerical calculations for different approximate Bayes estimators and their relative mean squared errors by preparing programs to present the statistical properties of the estimators.

Keywords

Weibull distribution, Bayesian estimation, Loss functions, Lindley approximation, R-programming