Accelerated life test of competing risk product is an important branch of reliability test technology. Relevant researches are widely concerned by academics and statistical reliability engineering.And Bayesian statistical theory is also in half of sky in statistical field, so this paper made some added to Bayesian optimal design of the accelerated life test with competing risk product.Major research on the characteristics of life and stress levels to meet polynomial relations, the two Bayesian optimal design criteria and the relationship between them are shown. Use of these criteria were discussed in detail for accelerated life test of type-II censored Weibull distribution with competing risk products and simultaneously resolve the bayesian analysis and optimal design problems of competing risks with partially masked cause of failure. Finally, Examples are respectively given to illustrate these proposed methods,simulation results showed that these methods are feasible.
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