2011Journal of Yunnan University of NationalitiesRequires access

The Bayesian Estimation Question for Binomial Distribution Parameter under Scale Squared Error Loss

Jinyu Li

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Abstract

In this paper,the binomial distribution given the sample size n is in the scale squared error loss function,and the binomial conjugate prior distribution parameters is used to discuss the Bayesian estimation.It obtains a necessary and sufficient condition of Bayesian estimation allowed for the parameter,and gives the expression of the multi-layered Bayesian estimation.

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What this paper is about

In this paper,the binomial distribution given the sample size n is in the scale squared error loss function,and the binomial conjugate prior distribution parameters is used to discuss the Bayesian estimation.It obtains a necessary and sufficient condition of Bayesian estimation allowed for the parameter,and gives the expression of the multi-layered Bayesian estimation.

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Available abstract

In this paper,the binomial distribution given the sample size n is in the scale squared error loss function,and the binomial conjugate prior distribution parameters is used to discuss the Bayesian estimation.It obtains a necessary and sufficient condition of Bayesian estimation allowed for the parameter,and gives the expression of the multi-layered Bayesian estimation.

Key concepts: Conjugate prior, Bayes estimator, Statistics, Mathematics, Mean squared error, Binomial distribution, Negative binomial distribution, Bayesian probability

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