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