The Bayesian Estimation Of Weibull Distribution Parameter And Reliability

This article basis in the Bayes,mainly studies the Bayes estimates,E-Bayes estimates and applications of the scale parameter repciprocal from weibull dis-tribution,studies a special distribution of weibull distribution——the Bayes es-timates,E-Bayes estimates and applications of the scale parameter repcipro-cal from Rayleigh distribution.And through numerical simulation,prove that the studied E-Bayes estimation in the article is reasonable and good nature.l.The mainly in the composite LINEX loss of symmetry,studies weibull dis-tribution makes use of conjugated obtained prior distribution to cipher out the Bayes estimates,hierarchical Bayes estimates and E-Bayes estimates of the scale parameter 9 repciprocal from weibull distribution,and prove that the parameters Bayes estimate is admissible.And cite specific numerical value examples to ex-plain their applications,Besides,through numerical analysis,compare the Bayes estimates to the E-Bayes estimate and explain the latter is the better.2.In the entropy loss of symmetry,studies a special distribution of weibull dis-tribution——the Bayes estimates,hierarchical Bayes estimates and E-Bayes es-timates of the scale parameter 9 repciprocal from Rayleigh distribution. And cite specific numerical value examples to explain their applications,Besides,through numerical analysis,compare the Bayes estimates to the E-Bayes estimate and ex-plain the latter is the better.3.In the q-symmetric entropy loss function,studies the distribution of Weibull reliabilityR The Bayes estimates and maximum likelihood estimation.And cite specific numerical value examples to explain their applications,Besides,through numerical analysis,compare the Bayes estimates to maximum likelihood estima-tion and explain the latter is the better.