On estimation and prediction of geostatistical regression models via a corrected Stein's unbiased risk estimator

Hong Ding Yang, Chun Shu Chen

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We consider geostatistical regression models to predict spatial variables of interest, where likelihood-based methods are used to estimate model parameters. It is known that parameters in the Matérn covariogram cannot be estimated well, even when increasing amounts of data are collected densely in a fixed domain. Although a best linear unbiased predictor has been proposed when model parameters are known, a predictor with estimated parameters is nonlinear and may be not the best in practice. Therefore, we propose an adjusted procedure for the likelihood-based estimates to improve the predicted ability of the nonlinear spatial predictor. The adjusted parameter estimators based on minimizing a corrected Stein's unbiased risk estimator tend to have less bias than the conventional likelihood-based estimators, and the resulting spatial predictor is more accurate and more stable. Statistical inference for the proposed method is justified both theoretically and numerically. To verify the practicability of the proposed method, a groundwater data set in Bangladesh is analyzed.

Original languageEnglish
Article numbere2424
JournalEnvironmetrics
Volume28
Issue number1
DOIs
Publication statusPublished - 2017 Feb 1

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Regression Model
Estimator
Prediction
Predictors
prediction
Likelihood
Best Linear Unbiased Predictor
Ground Water
Statistical Inference
Estimate
parameter
Tend
Verify
Predict
groundwater
Model
method

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Ecological Modelling

Cite this

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On estimation and prediction of geostatistical regression models via a corrected Stein's unbiased risk estimator. / Yang, Hong Ding; Chen, Chun Shu.

In: Environmetrics, Vol. 28, No. 1, e2424, 01.02.2017.

Research output: Contribution to journalArticle

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