MINIMAX ESTIMATION OF A CONSTRAINED BINOMIAL PROPORTION
Copyright policy )MINIMAX ESTIMATION OF A CONSTRAINED BINOMIAL PROPORTION
The problem of estimating the probability parameter of a binomial distribution under additional assumptions that it lies in a interval \([a,b] \subset [0,1]\) is considered. The minimax and linear minimax estimators are obtained for both quadratic and information-normalized loss functions. Some comparisons with other estimators are studied.
Bayesian problems; characterization of Bayes procedures, Parametric inference under constraints, Minimax procedures in statistical decision theory, Point estimation, minimax estimation, linear minimax estimation, binomial distribution
Bayesian problems; characterization of Bayes procedures, Parametric inference under constraints, Minimax procedures in statistical decision theory, Point estimation, minimax estimation, linear minimax estimation, binomial distribution
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