the improved estimator of the variance in the general linear model is presented under an asymmetric linex loss function.

Abstract Bayesian estimators and highest posterior density credible intervals are obtained for two popular inequality measures, viz. the Gini index Bonferroni in case of Dagum distribution. The study considers informative non-informative priors, i.e. Mukherjee-Islam prior extension Jeffrey’s prior, respectively, under presumption Linear Exponential (LINEX) loss function. A Monte Carlo simulatio...

In this paper, Bayesian and E – Bayesian method of estimation are proposed for estimating the parameter of Rayleigh distribution. The Bayes estimate of the parameter is derived under the assumption that the prior distribution is informative i.e. gamma prior using Linex loss function. Further, comparison between the E-Bayes estimators with the associated Bayes estimators have been carried out th...

In this paper, we use the Linex loss function to derive the Bayesian estimate of the parameter of the exponential distribution based on ranked set sampling (RSS). Under this setup, we use both conjugate and Jeffreys prior distributions. To assess the efficiency of the obtained estimates, we compute the bias and mean squared error of the derived estimates and compare them with those based on the...

This paper deals with a monotone empirical Bayes test δ∗ n for a truncation parameter distribution using the linex loss. The asymptotic optimality of δ∗ n is investigated. Under very mild conditions, it is shown that δ∗ n is asymptotically optimal with a rate of order n. This rate improves the empirical Bayes test δ n of Xu and Shi (2004) in the sense that faster convergence rate is achieved un...

Based on progressively Type-II censored samples, the empirical estimators of reliability performances for Burr XII distribution are researched under LINEX error loss. Firstly, we obtain the Bayes estimators of the reliability performances. Secondly, different from the predecessor, the empirical Bayes estimators of the reliability performances are derived where hyper-parameter is estimated using...

Generalized Bayes is a Bayesian study based on learning rate parameter. This paper considers generalized estimation to the effect of parameter results joint censored sample type-II exponential populations. Squared error, Linex, and general entropy loss functions are used in approach. Monte Carlo simulations were performed assess how well different approaches perform. The simulation compares est...

This paper considers estimation of normal mean ? when the variance is unknown, using the LINEX loss function. The unique Bayes estimate of ? is obtained when the precision parameter has an Inverse Gaussian prior density