Estimation of Binomial Distribution in the Light of Future Data
Kunio Takezawa *
Agroinformatics Division, Agricultural Research Center, National Agriculture and Food Research Organization Kannondai 3-1-1, Tsukuba, Ibaraki 305-8666, Japan.
*Author to whom correspondence should be addressed.
Abstract
A predictive estimator for estimating the parameter of binomial distribution is suggested. This estimator aims to maximize the expectation of expected log-likelihood. The results given by this estimator are superior to those given by the maximum likelihood estimator in terms of the predictions when a little prior knowledge about the parameter is available.
Keywords: expected log-likelihood, binomial distribution, maximum likelihood estimator, optimization