A G1-Minimax Estimator for a Linear Combination of Binomial Probabilities: Journal of the American Statistical Association: Vol 69, No 345

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Abstract

A G₁-minimax estimator for an arbitrary linear combination of binomial probabilities {θ_i } is derived. Only the mean of each prior distribution is specified. The resulting G₁-minimax estimator is shown to be formed by estimating each θ_i by a weighted average of its prior mean and its maximum likelihood estimate.

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A G₁-Minimax Estimator for a Linear Combination of Binomial Probabilities

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A G1-Minimax Estimator for a Linear Combination of Binomial Probabilities

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A G₁-Minimax Estimator for a Linear Combination of Binomial Probabilities