Spatio-temporal stationary covariance models

被引：48

作者：

Ma, CS ^{[1
]}

机构：

[1] Wichita State Univ, Dept Math & Stat, Wichita, KS 67260 USA

来源：

JOURNAL OF MULTIVARIATE ANALYSIS | 2003年 / 86卷 / 01期

关键词：

covariance function; positive definite; stationary; variogram;

D O I：

10.1016/S0047-259X(02)00014-3

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Stationary covariance functions that model space-time interactions are in great demand. The goal of this paper is to introduce and develop new spatio-temporal stationary covariance models. Integral representations for covariance functions with certain properties, such as alpha-symmetry in the spatial lag, are established. Mixture models are proposed through purely spatial and temporal covariance functions. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：97 / 107

页数：11

共 22 条

[1] Berg C., 1984, HARMONIC ANAL SEMIGR
[2] Blur-generated non-separable space-time models
Brown, PE
Kåresen, KF
Roberts, GO
Tonellato, S
[J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 2000, 62 : 847 - 860
[3] ON A-SYMMETRIC MULTIVARIATE DISTRIBUTIONS
CAMBANIS, S
KEENER, R
SIMONS, G
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1983, 13 (02) : 213 - 233
[4] Christakos G., 2000, MODERN SPATIOTEMPORA
[5] Classes of nonseparable, spatio-temporal stationary covariance functions
Cressie, N
Huang, HC
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1999, 94 (448) : 1330 - 1340
[6] Cressie N, 1993, STAT SPATIAL DATA
[7] On α-symmetric multivariate characteristic functions
Gneiting, T
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 1998, 64 (02) : 131 - 147
[8] HEINE V, 1955, BIOMETRIKA, V42, P170
[9] Jones R, 1997, LECT NOTES STAT, V122, P289
[10] Knorr-Held L, 2000, STAT MED, V19, P2555, DOI 10.1002/1097-0258(20000915/30)19:17/18<2555::AID-SIM587>3.0.CO

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