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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1973 Volume 18, Issue 1, Pages 155–160 (Mi tvp2688)

This article is cited in 19 papers

Short Communications

On canonical representations for stochastic processes of multiplicities one and two

T. N. Siraya

Leningrad

Abstract: Let $x_1(t)$ and $x_2(t)$, $t\in R^1$, be orthogonal linearly regular stochastic processes of multiplicity one, and $x(t)=x_1(t)+x_2(t)$.
The relation between the closed linear spans of the processes values, $H(x_1)$ and $H(x_2)$, and $H(x)$, is studied.

Received: 13.05.1971


 English version:
Theory of Probability and its Applications, 1973, 18:1, 153–158

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