Bayesian Confidence Interval Estimation of Weibull Modulus Under Increasing Failure Rate

Estimating the confidence interval of Weibull modulus is an important problem in fracture strength modeling ceramic and composite materials. It particularly cases where sample size small due to high experimental costs. For this purpose, several classical methods, including popular maximum likelihood method, Bayesian methods have been developed literature. However, studies on inference remained very limited materials science Recently a model has proposed for estimating lower bounds percentiles using prior knowledge that failure rates are increasing. This argument requires be more than 1 wear-out failure. In study, under same information, two models, one other relaxed version it, estimation modulus. Their performances compared against method with Monte Carlo simulations. The results show models significantly outperform almost all values.