On the Admissibility of Proportions Observed in Samples Drawn with Replacement.
Abstract
In sampling a finite unlabeled dichotomous population with replacement, the observed proportion as an estimator of the population proportion is admissible under squared-error loss when the sampling fraction is small, but is inadmissible when the fraction is large. Within an appropriately modified class of linear estimators, however, the observed proportion is always admissible for sampling fractions less than one. When the sampling fraction is greater than one, there is an obvious risk-reducing modification of the observed proportion; the modified estimator is nonetheless inadmissible. Regardless of the sampling fraction, all admissible estimators for the unknown population proportion must belong to one of four disjoint and easily characterized families.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1975
- Accession Number
- ADA009243
Entities
People
- Lawrence C. Rafsky
Organizations
- Yale University