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Teoriya Veroyatnostei i ee Primeneniya, 1960, Volume 5, Issue 2, Pages 222–227
(Mi tvp4828)
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This article is cited in 208 scientific papers (total in 209 papers)
Short Communications
On Strong Mixing Conditions for Stationary Gaussian Processes
A. N. Kolmogorov, Yu. A. Rozanov Moscow
Abstract:
This paper considers conditions, which guarantee strong mixing of stationary random Gaussian process $\xi (t)$.
It is proved, for example, that if the spectral density $f(\lambda)$ of the process $\xi(t)$ is continuous and positive (parameter $t$ is discrete) or $f(\lambda )$ is positive and uniformly continuous, and for large $\lambda$ $$\frac{m}{\lambda^k}\leq f(\lambda)\leq\frac{M}{\lambda^{k-1}}$$ (parameter $t$ is continuous), then strong mixing takes place.
Received: 18.11.1959
Citation:
A. N. Kolmogorov, Yu. A. Rozanov, “On Strong Mixing Conditions for Stationary Gaussian Processes”, Teor. Veroyatnost. i Primenen., 5:2 (1960), 222–227; Theory Probab. Appl., 5:2 (1960), 204–208
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Abstract page: | 490 | Full-text PDF : | 294 |
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