BAYES ESTIMATORS OF THE SHAPE PARAMETERS OF A GENERALIZED GAMMA TYPE MODEL

Authors

  • 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 shape parameters of a generalized gamma type model are obtained for different priors using Lindley’s approach. Bayes estimators of reliability and hazard rate functions have also been discussed. The calculations have been illustrated with the help of numerical example.

Downloads

Download data is not yet available.

References

Bansal, A. K.(2007). Bayesian Parametric Inference, Narosa Publishing House,

New Delhi.

Harter, H.L. (1967). Maximum likelihood estimation of the parameter of a

generalized gamma population from complete and censored samples.

Technometrics, Vol.-9, 159-165.

Lawless, J.F. (1980). Inference in generalized gamma and log gamma

distribution,Technometrices, Vol. 22, No. 3, 409-419.

Lawless, J.F. (2002). Statistical Models and Methods for Lifetime Data. II ed.,

Wiley, New York.

Lindley, D. V. (1980). Approximate Bayesian Methods, Trabajos de Estatistica y

de Investigacian Operatica, Vol..31, 223-237.

Pandey, H.and Rao, A.K. (2006). Bayesian estimation of scale parameter of

generalized gamma distribution using precautionary loss function. Indian Journal

of Applied Statistics. Vol..10, 21-27.

Prentice, R.L. (1974). A log-gamma model and its maximum likelihood estimation.

Biometrika, Vol.-61, 539-544.

Shukla,G. and Kumar,V. (2006). Use of generalized gamma type model in life

failure data. Indian Journal of Applied Statistics. Vol..10, 13-20.

Shukla,G. and Kumar,V. (2008). Bayes estimators of the scale parameter of

generalized gamma type model. Journal of Reliability and Statistical Studies. Vol..

(1), 56-63.

Sinha, S. K. (1998). Bayesian Estimation, New Age International (P) Limited, New

Delhi

Stacy, E.W. (1962). A generalization of the gamma distribution. Annuls of

Mathematical Statistics, Vol.-33, 1187-1192.

Stacy, E.W. and Mihram, G.A. (1965). Parameter estimation for a generalized

gamma distribution. Technometrics, Vol.-7, 349-358.

Upadhyay, S.K., Vasistha, N. and Smith, A.F.M. (2000). Bayes inference in life

testing and reliability via Markov Chain Monte Carlo simulation. Sankhya: The

Indian Journal of Statistics, Vol.-62, Series A, Pt-2, 203-222.

Downloads

Published

2009-06-01

How to Cite

Shukla, G. ., & Kumar, V. . (2009). BAYES ESTIMATORS OF THE SHAPE PARAMETERS OF A GENERALIZED GAMMA TYPE MODEL. Journal of Reliability and Statistical Studies, 2(1), 60–70. Retrieved from https://journals.riverpublishers.com/index.php/JRSS/article/view/22091

Issue

Section

Articles