Minimax Estimator on Binomial Distribution

Volume 7, Issue 4, August 2022     |     PP. 60-66      |     PDF (1188 K)    |     Pub. Date: July 31, 2022
DOI: 10.54647/mathematics11340    106 Downloads     4916 Views  

Author(s)

Zul Amry, Department of Mathematics, State University of Medan, Indonesia
Sisti Nadia Amalia, Department of Mathematics, State University of Medan, Indonesia

Abstract
This paper discusses the minimax estimator of parameter for binomial distribution. The likelihood function is constructed based on the probability function of the Binomial distribution. The posterior distribution is obtained from the joint of the likelihood function and prior distribution. Furthermore, the Bayes estimator is obtained based on the posterior mean and provide the constancy of the risk of Bayes the minimax estimator can be concluded.

Keywords
Bayes theorem, binomial distribution, minimax estimator

Cite this paper
Zul Amry, Sisti Nadia Amalia, Minimax Estimator on Binomial Distribution , SCIREA Journal of Mathematics. Volume 7, Issue 4, August 2022 | PP. 60-66. 10.54647/mathematics11340

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