Bayesian decision for lift test based on fuzzy life characteristics

For the life data X in a life test, the Bayesian stopping rule and decision rule for the problem of testing fuzzy statistical hypotheses are given in this paper. The loss function of the model is the sum of the cost of the experiment time and the loss due to wrong decision. In the procedure, the Bayesian stopping rule is determined by the optimal terminated time, and the Bayesian decision rule is determined by the risk of decision. Numerical results are given in the case where the lifetime has an exponential distribution.