Abstract #301507

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JSM 2002 Abstract #301507
Activity Number: 309
Type: Contributed
Date/Time: Wednesday, August 14, 2002 : 10:30 AM to 12:20 PM
Sponsor: Section on Survey Research Methods*
Abstract - #301507
Title: The Horvitz-Thompson Predictor in Random Fields Sampling
Author(s): Jose Rodriguez*+
Affiliation(s): Universidad de Guanajuata
Address: A[artado Postal 402, Guanajuata, GTO, International, 36000, MEXICO
Keywords: Horvitz-Thompson estimator ; spatial sampling ; random fields sampling ; optimal sampling designs
Abstract:

The Horvitz-Thompson estimator is commonly used in finite population sampling. It is also used in spatial sampling when the characteristic of interest is considered as a deterministic spatial function. An extension of this estimator is developed for random fields sampling. The Horvitz-Thompson predictor is deduced as a special case from the nonparametric predictors of the integral of a random field. Optimal random sampling designs are obtained for simple and stratified sampling. The mean square error of each predictor is deduced, and then the unbiased estimator for this MSE is proposed.

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