6 research outputs found
AN INFORMATION INEQUALITY FOR THE BAYES RISK IN A FAMILY OF UNIFORM DISTRIBUTION
For a family of uniform distribution on the interval [8 - (1/2), e - (1/2)]\u27 the informationinequality for the bayes risk of any estimator of e is given under the quadratic Joss and the uniform priordistribution on an interval [-c,c]. The lower bound for the Bayes risk is shown to be sharp. And also thelower bound for the limit inferior of Bayes risk as c -jo 00 is seen to be attained by the mid-range estimator
An information inequality for the Bayes risk applicable to non-regular cases (Approximations to the Statistical Distributions)
On lower bounds for the Bayes risk of estimators in the uniform and truncated normal cases (Statistical Inference and the Bioequivalence Problem)
Information Inequalities for the Bayes Risk for a Family of Non-Regular Distributions
Loss function, Bayes risk, Bayes estimator, lower bound, uniform distribution, truncated distributions,