A Class of Variogram Matrices for Vector Random Fields in Space and/or Time

被引：5

作者：

Ma, Chunsheng ^{[1
]}

机构：

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

来源：

MATHEMATICAL GEOSCIENCES | 2011年 / 43卷 / 02期

关键词：

Cross variogram; Direct variogram; Gaussian random field; Second-order increment; Variogram; Variogram matrix; CROSS-VARIOGRAMS; COVARIANCE; FRAMEWORK; MODELS;

D O I：

10.1007/s11004-010-9310-9

中图分类号：

P [天文学、地球科学];

学科分类号：

07 ;

摘要：

This paper studies vector (multivariate, multiple, or multidimensional) random fields in space and/or time with second-order increments, for which the variogram matrix is an important tool to measure the dependence within each component and between each pair of distinct components. We introduce an efficient approach to construct Gaussian or non-Gaussian vector random fields from the univariate random field with higher dimensional index domain, and particularly to generate a class of variogram matrices.

引用

页码：229 / 242

页数：14

共 50 条

[1] A Class of Variogram Matrices for Vector Random Fields in Space and/or Time
Chunsheng Ma
Mathematical Geosciences, 2011, 43 : 229 - 242
[2] Covariance Matrices for Second-Order Vector Random Fields in Space and Time
Ma, Chunsheng
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2011, 59 (05) : 2160 - 2168
[3] Variogram Matrix Functions for Vector Random Fields with Second-Order Increments
Du, Juan
Ma, Chunsheng
MATHEMATICAL GEOSCIENCES, 2012, 44 (04) : 411 - 425
[4] Spherically Invariant Vector Random Fields in Space and Time
Du, Juan
Ma, Chunsheng
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2011, 59 (12) : 5921 - 5929
[5] Variogram Matrix Functions for Vector Random Fields with Second-Order Increments
Juan Du
Chunsheng Ma
Mathematical Geosciences, 2012, 44 : 411 - 425
[6] Covariance Matrix Functions of Vector χ2 Random Fields in Space and Time
Ma, Chunsheng
IEEE TRANSACTIONS ON COMMUNICATIONS, 2011, 59 (09) : 2554 - 2561
[7] Vector Random Fields with Second-Order Moments or Second-Order Increments
Ma, Chunsheng
STOCHASTIC ANALYSIS AND APPLICATIONS, 2011, 29 (02) : 197 - 215
[8] χ2 Random Fields in Space and Time
Ma, Chunsheng
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2010, 58 (01) : 378 - 383
[9] Time Varying Isotropic Vector Random Fields on Spheres
Ma, Chunsheng
JOURNAL OF THEORETICAL PROBABILITY, 2017, 30 (04) : 1763 - 1785
[10] Time Varying Isotropic Vector Random Fields on Spheres
Chunsheng Ma
Journal of Theoretical Probability, 2017, 30 : 1763 - 1785

← 1 2 3 4 5 →