Bayes Estimation Of The Inverse Weibu Distribution’s Parameters And Its Application In Reliability

The inverse weibull distribution has the ability to model failure rates,which are quitecommon in biological and reliability studies.In this paper on the basis of the Bayesiantheory I discussed the Bayes and E-Bayes estimations of the inverse Weibull distributionscale parameter. This paper, used Bayesian parameters estimation theory, studied theestimations of inverse weibull distributions’ scale parameter, including:(1)the Bayesestimation theory,(2) E-Bayes estimation,(3) the maximum likelihood estimation.1.Baesd on the composite LINEX symmetric loss function, using gamma distributionas the prior distribution, I mainly studied the scale parameter’s Bayes and E-Bayesestimations of a derogatory inverse Weibull distribution2. Under the entropy loss function, I studied the two-parameter inverse Weibulldistribution scale parameter’s Bayes estimation and its maximum likelihood estimation.And using the numerical analysis I carries on the quality comparison of the Bayesestimation and the maximum likelihood estimation.3. Under q-symmetric entropy loss function, I study the two-parameter inverse Weibulldistribution reliability R’s Bayes estimation and its maximum likelihood estimation.Numerical analysis to verify rationality and superiority of Bayes estimation and maximumlikelihood estimation.