EFFICIENT PARETO STRATIFICATION

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2006 English Publisher:Project MUSEJournal:Mathematical Proceedings of the Royal Irish Academy, volume 106A, pages 131-138 (eissn: 2009-0021,

Copyright policy )Publicly funded

Authors: Gunning, Patricia; Horgan, Jane M.; Keogh, Gary;

doi: 10.1353/mpr.2006.0018 , 10.3318/pria.2006.106.2.131

EFFICIENT PARETO STRATIFICATION

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Abstract

Summary: If stratification boundaries are taken in geometric progression, then the Pareto distributions give equal coefficients of variation on strata. This stratification method does not, however, satisfy exactly the Dalenius condition [\textit{T. Dalenius}, Skand. Aktuarie Tidskr. 1950, 203--213 (1950; Zbl 0041.46302)] for minimising the variance of the sample mean, but it compares favourably with the commonly used cumulative root frequency approximation of \textit{T. Dalenius} and \textit{J. L. Hodges} [J. Am. Stat. Assoc. 54, 88--101 (1959; Zbl 0087.34101)] in terms of the precision of the stratified mean.

Related Organizations

Dublin City University
Ireland

Keywords

Point estimation, Sampling theory, sample surveys

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