Estimation under two stage random permutation models

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1985 English Publisher:Springer Science and Business Media LLCJournal:Metrika, volume 32, pages 339-349 (issn: 0026-1335, eissn: 1435-926X,

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Authors: Mukhopadhyay, P.; Padmawar, V.R.;

doi: 10.1007/bf01897822

Estimation under two stage random permutation models

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Abstract

In a simple two-stage random permutation model the units which have fixed but unknown values \(x_{ij}\) of the study variate x, are labelled randomly in two stages, first the psu's are labelled at random and then the ssu's within each of the psu's are labelled at random independently. Under this model, it is shown in this paper that the sample mean is optimal.

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Keywords

two-stage random permutation model, 510.mathematics, non-informativeness of labels, Sampling theory, sample surveys, Article, estimation of population mean, sample mean

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