On optimal sampling designs for autocorrelated finite populations

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 design...

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Veröffentlicht in:	Biometrika 1998-06, Vol.85 (2), p.482-486
Hauptverfasser:	PAPAGEORGIOU, IOULIA, KARAKOSTAS, K. X.
Format:	Artikel
Sprache:	eng
Schlagworte:	Autocorrelation Autocorrelation function Convex autocorrelation function Estimators Exact sciences and technology Experimental design Inference from stochastic processes time series analysis Integer convex function Integers Lagrange multipliers Least squares Mathematical functions Mathematical optima Mathematical theorems Mathematics Miscellanea Population estimates Population mean Probability and statistics Sampling theory, sample surveys Sciences and techniques of general use Statistics Superpopulation Systematic sampling
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Beschreibung
Zusammenfassung:	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.
ISSN:	0006-3444 1464-3510
DOI:	10.1093/biomet/85.2.482