
Accession Number : ADA116944
Title : A Quantile Domain Perspective on the Relationships between Optimal Grouping, Spacing and Stratification Problems.
Descriptive Note : Technical rept.,
Corporate Author : SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS
Personal Author(s) : Eubank,R L
PDF Url : ADA116944
Report Date : Jun 1982
Pagination or Media Count : 15
Abstract : The relationships between two distributions having the same solutions for problems of optimal spacing selection for the asymptotically best linear unbiased estimator of a location or scale parameter or for problems of optimal stratification for estimation of a population mean are investigated. Easily checked necessary and sufficient conditions under which two distributions have identical solutions to these problems are given in terms of their quantile and densityquantile functions. As an application of these results a quantile domain analog of a theorem due to Adatia and Chan on the equivalence of optimal grouping, spacing and stratification problems is obtained. (Author)
Descriptors : *Population(Mathematics), *Distribution functions, Groups(Mathematics), Mean, Asymptotic normality, Stratification, Solutions(General), Scalar functions, Parameters, Theorems
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE