Empirical Bayes Likelihood for Exponential Distribution Family under Ranked Set Sampling and Dependent Data

In this paper, we get the empirical Bayes likelihood test rules for Exponential distribution based on ranked set sampling. Its asymptotic optimality is obtained. Due to the advantages of combining empirical Bayesian methods with prior information of samples, the accuracy of statistical inference can be improved. Therefore, the fusion of empirical Bayesian likelihood methods can further enhance the estimation methods of statistical models.