Regular stationary stochastic vector processes whose spectral densities are the boundary values of matrix functions with bounded Nevanlinna characteristic are considered. A criterion for the representability of such processes as output data of linear time invariant dynamical systems is established.
@article{10_4064_sm222_3_1,
author = {Victor D. Didenko and Natalia A. Rozhenko},
title = {A class of stationary stochastic processes},
journal = {Studia Mathematica},
pages = {191--205},
year = {2014},
volume = {222},
number = {3},
doi = {10.4064/sm222-3-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm222-3-1/}
}
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AU - Victor D. Didenko
AU - Natalia A. Rozhenko
TI - A class of stationary stochastic processes
JO - Studia Mathematica
PY - 2014
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EP - 205
VL - 222
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.4064/sm222-3-1/
DO - 10.4064/sm222-3-1
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%A Natalia A. Rozhenko
%T A class of stationary stochastic processes
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%V 222
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Victor D. Didenko; Natalia A. Rozhenko. A class of stationary stochastic processes. Studia Mathematica, Tome 222 (2014) no. 3, pp. 191-205. doi: 10.4064/sm222-3-1