Το έργο με τίτλο Spatial random field models inspired from statistical physics with applications in the geosciences από τον/τους δημιουργό/ούς D.T. Hristopulos διατίθεται με την άδεια Creative Commons Αναφορά Δημιουργού 4.0 Διεθνές
Βιβλιογραφική Αναφορά
D.T. Hristopulos, " Spartan spatial random field models inspired from statistical physics with applications in the geosciences " , Physi. A: Stati. Mech. and its Ap.,vol. 365,no. 1-2,pp. 211-216,2006.doi:10.1016/j.physa.2006.01.037
https://doi.org/10.1016/j.physa.2006.01.037
The spatial structure of fluctuations in spatially inhomogeneous processes can be modeled in terms of Gibbs random fields. A local low energy estimator (LLEE) is proposed for the interpolation (prediction) of such processes at points where observations are not available. The LLEE approximates the spatial dependence of the data and the unknown values at the estimation points by low-lying excitations of a suitable energy functional. It is shown that the LLEE is a linear, unbiased, non-exact estimator. In addition, an expression for the uncertainty (standard deviation) of the estimate is derived