Bayesian estimation of parameters of mixed geometric failure models from Type I group censored sample

Abstract

The estimation problem of the parameters of a mixed geometric lifetime model, using Bayesian approach and Type I group censored sample, will be investigated in the case of two subpopulations. The Bayes estimates are derived for squared error, minimum expected, general entropy and linex loss functions under informative and diffuse priors. A practical example given by Nelson (W.B. Nelson, Hazard plotting methods for analysis of the life data with different failure models, J. Qual. Technol. 2 (1970), pp. 126–149) is considered. A simulation study is carried out along with risk.

Keywords:

• Bayes estimator
• geometric model
• loss functions
• mixture distribution
• risk function
• simulation
• Type I group censoring

Acknowledgements

The authors are grateful to the referees for their prompt and conscientious review that has considerably improved the revised version of the paper. We also thank the editor of the journal.