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Short Communications

On the strong mixing property for linear sequences

V. V. Gorodeckiĭ

Leningrad

Abstract: Let $Z_i$, $i=0,\pm 1,\pm 2,\dots$, be independent random variables and $g_i\in R^1$, $i=0,1,2,\dots$. In the note, sufficient conditions are obtained for the sequence $\displaystyle X_j=\sum_{i=0}^{\infty}g_iZ_{j-i}$ to possess the strong mixing property.

Received: 12.06.1975

 English version: Theory of Probability and its Applications, 1978, 22:2, 411–413

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