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Bayes Inference in Life Tests When Samples Sizes are Fixed or Random

In: Probability and Bayesian Statistics

Author

Listed:
  • G. S. Lingappaiah

    (Sir George Williams Campus Concordia University, Department of Mathematics)

Abstract

Summary This paper predicts the order statistics in the future sample in terms of order statistics in the earlier sample in a life test based on the exponential model. The sizes of the samples are either fixed or random variables, having the Poisson distribution. For the prediction purpose, predictive distributions are obtained. Three situations are considered such as (a) both the sample sizes are random (b) size of one sample is fixed while that of the other is a random variable (c) both sizes are fixed. For each of these three cases, Bayesian Prediction Regions (BPR) are obtained, and also, the variance of these predictive distributions for all these three situations, is put in closed forms.

Suggested Citation

  • G. S. Lingappaiah, 1987. "Bayes Inference in Life Tests When Samples Sizes are Fixed or Random," Springer Books, in: R. Viertl (ed.), Probability and Bayesian Statistics, pages 335-345, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-1885-9_34
    DOI: 10.1007/978-1-4613-1885-9_34
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