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2015
We often assume that Gaussian processes are isotropic implying that the covariance function only depends on the distance between locations.
Yunfei Xu +3 more
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We often assume that Gaussian processes are isotropic implying that the covariance function only depends on the distance between locations.
Yunfei Xu +3 more
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1995
It is actually difficult to characterize directly a covariance function matrix. This becomes easy in the spectral domain on the basis of Cramer’s generalization of the Bochner theorem, which is presented in this chapter. We consider complex covariance functions.
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It is actually difficult to characterize directly a covariance function matrix. This becomes easy in the spectral domain on the basis of Cramer’s generalization of the Bochner theorem, which is presented in this chapter. We consider complex covariance functions.
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Space-Time Covariance Functions
Journal of the American Statistical Association, 2005This work considers a number of properties of space–time covariance functions and how these relate to the spatial-temporal interactions of the process. First, it examines how the smoothness away from the origin of a space–time covariance function affects, for example, temporal correlations of spatial differences.
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Lorentz-Covariant Generalized Functions
1990By Minkowski space M we mean the four-dimensional real space R 4 endowed with the pseudo-Euclidean scalar product $$ pq = {p^0}{q^0} - pq = g\lambda \mu {p^\lambda }{q^\mu } = p\lambda {q^\lambda }. $$ (3.1)
N. N. Bogolubov +4 more
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Planar geodetic covariance functions
Reviews of Geophysics, 1981In the last 20 years statistical methods have been applied in geodesy with considerable success, both in physical geodesy (least squares collocation, variance‐covariance propagation) and in geodetic measuring technique (error propagation and interpolation, inertial navigation, adjustment, diagnosis, and design of networks).
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Conformal covariant Wightman functions
Il Nuovo Cimento A, 1973In this paper a method to build covariant Wightman functions is given. Complications due to the breaking of causality are discussed. After giving a convenient definition of co-ordinate inversion to avoid the appearance of antilinear transformations, the representations of the inversion operator for various fields are given.
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Covariant Hyperelliptic Functions of Genus Two
Theoretical and Mathematical Physics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Covariance Functions of Unit Processes
SIAM Journal on Applied Mathematics, 1972The problem of meaningful characterization of the covariance functions, “unit covariances,” of two-valued stationary stochastic processes is considered. Some general properties are derived. For some broad classes of unit covariances, corresponding to two-valued processes with a specified structure of axis crossing, complete and explicit ...
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Testing the type of non-separability and some classes of space-time covariance function models
Stochastic environmental research and risk assessment (Print), 2017C. Cappello, S. Iaco, D. Posa
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