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Sampling with Unequal Probabilities without Replacement: A Review

Muhammad Hanif and K. R. W. Brewer
International Statistical Review / Revue Internationale de Statistique
Vol. 48, No. 3 (Dec., 1980), pp. 317-335
DOI: 10.2307/1402944
Stable URL: http://www.jstor.org/stable/1402944
Page Count: 19
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Sampling with Unequal Probabilities without Replacement: A Review
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Abstract

This paper deals with a review of sampling with unequal probabilities without replacement. In Section 2 of this paper, a list of selection Procedures along with their properties (in brief) is given. Section 3 deals with the comparison of the Horvitz-Thompson Estimator and an approximate formula for the estimation of variance which does not involve π IJ is presented and comparison of special estimators is made in Section 4. /// Cet article passe en revue les sondages avec probabilités inégales, sans remise. Dans sa section 2, on donne une liste de procédés de tirage, ainsi que leurs propriétés (sommairement). La Section 3 s'occupe de la comparaison de l'estimateur de Horvitz & Thompson, tandis qu'on propose une formule approchée d'estimation de la variance ne renfermant pas π IJ; la comparaison des estimateurs particuliers se fait dans la Section 4.

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