BAYES ESTIMATORS OF THE SCALE PARAMETER OF A GENERALIZED GAMMA TYPE MODEL

  • Gaurav Shukla Deptt. of Statistics, G.F. (P.G.) College, Shahjahanpur, India
  • Vinod Kumar Deptt. of Maths, Stats. & Comp. Sc., G. B. Pant Univ. of Ag. & Tech., Pantnagar, India
Keywords: Lifetime Model, Bayes estimator, Maximum Likelihood Estimator, Prior, Reliability Function, Hazard Rate Function

Abstract

Bayes estimators of the scale parameter of a generalized gamma type model are obtained for different priors. For the proposed prior, Bayes estimator of θ for given p and k=1 coincides with MLE of θ if c=2, whereas Bayes estimator of hazard rate function of θ given p and k coincides with its MLE. Thumb’s rule has been used for constructing a conjugate prior for θ. Bayes estimators of reliability function and hazard rate function have also been obtained.

 

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Published
2008-06-01
Section
Articles