BAYESIAN SPATIAL PREDICTION FOR A TRANSFORMED RANDOM FIELD

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JAFARI A.A.F.; MOHAMMADZADEH M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Paper Information

Journal: JOURNAL OF SCIENCE (UNIVERSITY OF TEHRAN) (JSUT) Year:2004 | Volume:30 | Issue:1 Page(s): 133-144

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Information Journal Paper

Title

BAYESIAN SPATIAL PREDICTION FOR A TRANSFORMED RANDOM FIELD

Author(s)

JAFARI A.A.F. | MOHAMMADZADEH M. | Issue Writer Certificate

Keywords

SPATIAL DATAQ3

RANDOM FIELDQ4

FAMILY OF TRANSFORMATIONSQ4

BAYESIAN SPATIAL PREDICTIONQ4

Abstract

A common scientific purpose in SPATIAL DATA analysis is prediction of a RANDOM FIELD in unmeasured sites based on measured data in some sample sites. If the RANDOM FIELD is Gaussian with parametric mean and covariance functions, optimal predictor and its mean square error can be determined. But in some applications, the data give evidence of non-Gausian features. In this case, if a nonlinear transformation of the RANDOM FIELD is Gaussian, the spatial prediction is carried out. When the transformation is unknown, we assumed that it is belong to a certain parametric FAMILY OF TRANSFORMATIONS. If the maximum likelihood estimators of the model parameters is determined and plugged in optimal predictor, optimality of the obtained predictor is doubt and often, we can't determine its MSE. Instead, in this paper, using the Bayesian approach, we determine the optimal predictor and its MSE. In a numerical example our method is used to deriving the BAYESIAN SPATIAL PREDICTION of rainfall at a given site.

Cites

BAYESIAN FUZZY SPATIAL PREDICTION

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APA: Copy

JAFARI, A.A.F., & MOHAMMADZADEH, M.. (2004). BAYESIAN SPATIAL PREDICTION FOR A TRANSFORMED RANDOM FIELD. JOURNAL OF SCIENCE (UNIVERSITY OF TEHRAN) (JSUT), 30(1), 133-144. SID. https://sid.ir/paper/2143/en

Vancouver: Copy

JAFARI A.A.F., MOHAMMADZADEH M.. BAYESIAN SPATIAL PREDICTION FOR A TRANSFORMED RANDOM FIELD. JOURNAL OF SCIENCE (UNIVERSITY OF TEHRAN) (JSUT)[Internet]. 2004;30(1):133-144. Available from: https://sid.ir/paper/2143/en

IEEE: Copy

A.A.F. JAFARI, and M. MOHAMMADZADEH, “BAYESIAN SPATIAL PREDICTION FOR A TRANSFORMED RANDOM FIELD,” JOURNAL OF SCIENCE (UNIVERSITY OF TEHRAN) (JSUT), vol. 30, no. 1, pp. 133–144, 2004, [Online]. Available: https://sid.ir/paper/2143/en

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