6533b821fe1ef96bd127ba30
RESEARCH PRODUCT
Monotonicity of Bayes estimators
Jarosław BartoszewiczPiotr Bolesław Nowaksubject
CombinatoricsBayes' theoremApplied MathematicsEstimatorApplied mathematicsMonotonic functionMathematicsdescription
Let X = (X1; : : : ;Xn) be a sample from a distribution with density (x;θ), θ∈Θ⊂R. In this article the Bayesian estimation of the parameter is considered.We examine whether the Bayes estimators of are pointwise ordered when the prior distributions are partially ordered. Various cases of loss function are studied. A lower bound for the survival function of the normal distribution is obtained.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 | Applicationes Mathematicae |