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Biometrika 1998 85(2):482-486; doi:10.1093/biomet/85.2.482
© 1998 by Biometrika Trust
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MISCELLANEA

On optimal sampling designs for autocorrelated finite populations

IOULIA PAPAGEORGIOU and K. X. KARAKOSTAS

Department of Mathematics, University of Ioannina P.O. Box 1186, 45 110 Ioannina, Greece ipapageo{at}cc.uoi.gr kkarakos{at}cc.uoi.gr

In this paper, under Cochran's (1946) model we give a class of optimum sampling designs, in the exact and asymptotic cases, for estimating the finite population mean when the autocorrelation function in that model is convex. This class is a generalisation of Blight's (1973) sampling designs.

Key Words: Autocorrelation function • Convex autocorrelation function • Integer convex function • Superpopulation • Systematic sampling


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