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Optimal allocation in stratified sampling with partial information
Authors:Dennis V Lindley  John J Deely
Affiliation:(1) Retired from University College London, 2 Periton Lane, TA24 8AQ Minehead, Somerset, England;(2) Department of Mathematics, University of Canterbury, Christchurch 1, New Zealand
Abstract:Summary The classical allocation formula of Neyman is replaced by a new formula which can accommodate prior information on the ratio of means in two strata. To accomplish this, a Bayesian approach is adopted and in this context partial prior information is quantified over the spectrum from absolute certainty to completely unknown.
Keywords:Stratified Sampling  Optimal Allocation  Prior Information  Bayesian Methods
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