A quantile domain perspective on the relationships between optimal grouping, spacing and stratification problems

R. L. Eubank

Statistics & Probability Letters, 1982, vol. 1, issue 2, 69-73

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 analoque of a theorem due to Adatia and Chan (1981) on the equivalence of optimal grouping, spacing and stratification problems is obtained.

Keywords: Approximation; density-quantile; function; quantile; function; optimal; grouping; optimal; spacing; optimal; stratification (search for similar items in EconPapers)
Date: 1982
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