Minima, Zero-points, Saddle-points and Singularities of the Variance of the Horvitz-Thompson Estimator in Selection With Unequal Probabilities Without Replacement / Minima, Nullpunkte, Sattelpunkte und Singularitäten der Varianz des Horvitz-Thompson Schätzers bei Auswahl mit unterschiedlichen Wahrscheinlichkeiten ohne Zurücklegen

Schneeberger Hans
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Schneeberger Hans: Emer.o., Universität Erlangen-Nürnberg, Schulstr. 12, D-83607 Holzkirchen

Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), 1999, vol. 218, issue 1-2, 229-240

Abstract: It is shown that a minimum of the variance V(ŶHT) of the Horvitz-Thompson estimator with value zero can be found in the interior of the region of feasible probabilities of selection zi (0 0; Y is the total. Other zero-points of the variance can be found by taking units apriori into the sample. If yN/Y > 1/n, units must be taken apriori into the sample to attain V = 0. An objective rule for the number of these units is given.

Keywords: Optimization; Horvitz-Thompson estimator; Optimierung; Horvitz-Thompson Schätzer (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:jns:jbstat:v:218:y:1999:i:1-2:p:229-240

DOI: 10.1515/jbnst-1999-1-213

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