A bayesian test for LOMAX distribution with composite LINEX loss function

We describe a bayesian test for LOMAX distribution with composite LINEX loss function. Bayes test for a parameter θ of lomax distribution is in the Complex symmetric loss function. We select the gamma distribution as prior distribution of parameter θ, then the bayes estimate contains two hyperparameters α and λ. The multi-bayes estimation of parameters θ is discussed, and the permissibility is proved. In the end, simulation made by Gibbs sampling MCMC methods was given to check effectiveness of the theory.