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Biometrika 1976 63(1):69-75; doi:10.1093/biomet/63.1.69
© 1976 by Biometrika Trust
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Some alternative approaches to multiparameter estimation

TOM LEONARD

Department of Statistics, University of Warwick Coventry

Bayesian and classical alternatives are considered, interpreted, and compared with simultaneous estimation methods in the literature. The main topics explored are the estimation of several normal means, and of several binomial or Poisson parameters. An empirical comparison and three real examples are included.

Key Words: Binomial distribution • Exchangeability • James-Stein estimator • Likelihood approximation • Poisson distribution • Posterior mean • Quadratic loss • Several normal means • Shrinkage of estimates • Simultaneous estimation • Unequal replication


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