A noninformative Bayesian approach to interval estimation in finite population sampling. (Special Section: A Focus on Bayesian Methods)
Journal of the American Statistical Association, December, 1991 by Meeden, Glen; Vardeman, Stephen
A Noninformative Bayesian Approach to Interval Estimation in Finite Population Sampling
GLEN MEEDEN and STEPHEN VARDEMAN(*)
A noninformative Bayesian approach to interval estimation in finite population sampling is discussed. Given the sample, this method introduces the Polya distribution as a pseudo posterior distribution over the unobserved members of the population. In many cases this distribution yields interval estimates similar to those of standard frequentist theory. In addition, it can be used in situations where the standard methods are difficult to apply, for example, in producing an interval estimate for the ratio of two medians. We also consider related point estimation problems and observe that estimators derived from the pseudo posterior often...
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