Conditional simulation of multi-variate Gaussian fields via generalization of Hoshiya's technique

Author Type

Faculty

Co-Author Type 1

Faculty

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Chaos Solitons and Fractals

Publication Status

Version of Record

Abstract

This paper generalizes conditional simulation technique of uni-variate Gaussian random fields by the stochastic interpolation proposed by Hoshiya, to multi-variate random fields. The kriging estimation of multi-variate Gaussian fields is proposed, and basic formulation for conditional simulation of multi-variate random fields is established. For the particular case of uncorrelated components of multi-variate field, the formulation reduces to that of uni-variate field given by Hoshiya. The paper also provides proofs of some important properties of the estimation error vector, which guarantee that the conditional simulation of the multi-variate field can be implemented by separately computing its kriging estimate and simulating the error vector. An analytical example of two-variate field is elucidated and some numerical results are discussed. © 1995.

First Page

2181

Last Page

2189

DOI

10.1016/0960-0779(94)00212-9

Publication Date

1-1-1995

This document is currently not available here.

Share

COinS