Bayes Inference for Drilling Mud Pump Piston Life

Bayes confidence limit for domestic drilling mud pump piston life was given. Maximum likelihood estimation of mud pump piston life was discussed under Weibull life distribution. For further, failure mechanism of the same batch mud pump piston was studied, the shape parameter of Weibull distribution was considered to be constant. Bayes point estimation and confidence limit of distribution parameters and mud pump piston life were given, according to field life data collected from Daqing oil field, under non-information priori and conjugate prior information for scale parameter. Example shows the effectiveness of the proposed method.