The Weibull Claim Model: Bivariate Extension, Bayesian, and Maximum Likelihood Estimations

Using a class of claim distributions, we introduce the Weibull distribution, which is new extension distribution with three parameters. The maximum likelihood estimation method used to estimate unknown parameters, and asymptotic confidence intervals bootstrap are constructed. In addition, obtained Bayesian estimates parameters under squared error linear exponential function (LINEX) general entropy loss function. Since Bayes estimators cannot be in closed form, compute approximate via Markov Chain Monte Carlo (MCMC) procedure. By analyzing two data sets, applicability capabilities model illustrated. fatigue life particular type Kevlar epoxy strand subjected fixed continuous load at pressure level 90% until fails set was analyzed.