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2010•College MathematicsRequires access

Estimator of the Scale-parameter in a Subclass of the Exponential Family under a Symmetric Loss Function

Lixin Song

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Abstract

For exponential family c(x,n)θ-ve-T(x)/θ,we deal with the Bayes estimator and admissible estimator of scale parameter θ under p,q-symmetric entropy loss function L(θ,δ)=θp/δp+δq/θq-2(p,q0).We have proved the invariance of the two estimators using the theorem integral transform.

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What this paper is about

For exponential family c(x,n)θ-ve-T(x)/θ,we deal with the Bayes estimator and admissible estimator of scale parameter θ under p,q-symmetric entropy loss function L(θ,δ)=θp/δp+δq/θq-2(p,q0).We have proved the invariance of the two estimators using the theorem integral transform.

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Available abstract

For exponential family c(x,n)θ-ve-T(x)/θ,we deal with the Bayes estimator and admissible estimator of scale parameter θ under p,q-symmetric entropy loss function L(θ,δ)=θp/δp+δq/θq-2(p,q0).We have proved the invariance of the two estimators using the theorem integral transform.

Key concepts: Mathematics, Estimator, Scale parameter, Exponential family, Exponential function, Applied mathematics, Invariant estimator, Combinatorics

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