A Horvitz-Thompson predictor is proposed for spatial sampling when the characteristic of interest is modeled as a random field. Optimal sampling designs are deduced under this context. Fixed and variable sample size are considered.

Fernando Ávila

José E. Rodríguez

English

Research Papers in Economics

A dx for all Borel subsets A of U, and the mean function E [Z (x)] is Lebesgue-integrable on U, then by the chain rule

An extension of the Horvitz-Thompson theorem to point sampling from a continuous universe,

Cressie

Random Designs for Estimating Integrals of Stochastic Processes,

Statistics for spatial data (Wiley-Interscience,

Variable Density Grid-Based Sampling Designs for Continuous Spatial Populations, Environmetrics 8, 167-195. 13Proofs of results Properties of the estimator (1). a) unbiasedness: E (t…n)

OPTIMAL RANDOM SAMPLING DESIGNS IN RANDOM FIELD SAMPLING

http://docubib.uc3m.es/WORKINGPAPERS/WS/ws035211.pdf

OPTIMAL RANDOM SAMPLING DESIGNS IN RANDOM FIELD SAMPLING

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Research Papers in Economics