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Information Journal Paper

Title

BAYESIAN PREDICTION IN SPATIAL DATA ANALYSIS

Pages

  33-46

Abstract

 When SPATIAL DATA are realizations of a GAUSSIAN MODEL with parametric mean and covariance functions, then the function of observations that minimizes mean square prediction error depends on some unknown parameters. Usually, these parameters are replaced by their estimates to obtain the plug-in predictor. But, this method has some problems in estimation of the parameters and the optimality and mean square error of the spatial predictor. In this paper, the problems related to plug-in method are discussed and to avoid them, the Bayesian approach for spatial prediction is proposed. Then the BAYESIAN SPATIAL PREDICTION for Gaussian and trans GAUSSIAN MODELs according to observations, that may contain noise, are derived. Next, in a simulation study, the adequacy of Bayesian prediction is compared with plug-in prediction. Finally, a numerical example illustrates the BAYESIAN SPATIAL PREDICTION of rainfall in a region at the north of Iran.

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    • Cite

    APA: Copy

    KHALEDI, M.J., & MOHAMMADZADEH, M.. (2006). BAYESIAN PREDICTION IN SPATIAL DATA ANALYSIS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 1(1), 33-46. SID. https://sid.ir/paper/310255/en

    Vancouver: Copy

    KHALEDI M.J., MOHAMMADZADEH M.. BAYESIAN PREDICTION IN SPATIAL DATA ANALYSIS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2006;1(1):33-46. Available from: https://sid.ir/paper/310255/en

    IEEE: Copy

    M.J. KHALEDI, and M. MOHAMMADZADEH, “BAYESIAN PREDICTION IN SPATIAL DATA ANALYSIS,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 1, no. 1, pp. 33–46, 2006, [Online]. Available: https://sid.ir/paper/310255/en

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