Asymptotically Unbiased, Efficient, and Consistent Properties of the Bayes estimator in the Binomial Distribution with Prior Beta | Zendy

Elisabeth Gracia Simanjuntak | Zendy; Widiarti | Zendy; Dian Kurniasari | Zendy; Amanto | Zendy

Open Access

Asymptotically Unbiased, Efficient, and Consistent Properties of the Bayes estimator in the Binomial Distribution with Prior Beta

Author(s) -

Elisabeth Gracia Simanjuntak,

Widiarti,

Dian Kurniasari,

Amanto

Publication year - 2021

Publication title -

journal of physics conference series

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 85

eISSN - 1742-6596

pISSN - 1742-6588

DOI - 10.1088/1742-6596/1751/1/012019

Subject(s) - minimum variance unbiased estimator , bias of an estimator , efficient estimator , mathematics , statistics , estimator , bayes estimator , stein's unbiased risk estimate , bayes' theorem , consistent estimator , beta distribution , trimmed estimator , binomial distribution , bayesian probability

This study will examine the characteristics of the Bayes estimator in the Binomial distribution with prior Beta theoretically and empirically. The theoretical result shows that the Bayes estimator in this distribution is an asymptotically unbiased and consistent, but inefficient estimator. Meanwhile, empirically, Bayes’s estimator is an unbiased estimator, efficient, and consistent.

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