Monotone Empirical Bayes Test for a Truncation Parameter Distribution Using Linex Loss
نویسنده
چکیده
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 under conditions relatively weaker than that assumed in Xu and Shi (2004).
منابع مشابه
Empirical Bayes Estimation for Exponential Model Using Non-parameter Polynomial Density Estimator
In this study, we study the empirical Bayes estimation of the parameter of the exponential distribution. In the empirical Bayes procedure, we employ the non-parameter polynomial density estimator to the estimation of the unknown marginal probability density function, instead of estimating the unknown prior probability density function of the parameter. Empirical Bayes estimators are derived for...
متن کاملBAYES ESTIMATION USING A LINEX LOSS FUNCTION
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
متن کاملBayesian Estimation for the Pareto Income Distribution under Asymmetric LINEX Loss Function
The use of the Pareto distribution as a model for various socio-economic phenomena dates back to the late nineteenth century. In this paper, after some necessary preliminary results we deal with Bayes estimation of some of the parameters of interest under an asymmetric LINEX loss function, using suitable choice of priors when the scale parameter is known and unknown. Results of a Monte C...
متن کاملEmpirical Bayes estimators of reliability performances using LINEX loss under progressively Type-II censored samples
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...
متن کاملBayesian Estimation of Shift Point in Shape Parameter of Inverse Gaussian Distribution Under Different Loss Functions
In this paper, a Bayesian approach is proposed for shift point detection in an inverse Gaussian distribution. In this study, the mean parameter of inverse Gaussian distribution is assumed to be constant and shift points in shape parameter is considered. First the posterior distribution of shape parameter is obtained. Then the Bayes estimators are derived under a class of priors and using variou...
متن کامل