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 density-quantile 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