This article is cited in 7 papers

Short Communications

Remarks on large deviations for the $\omega^2$-statistics

A. A. Mogul'skiĭ

Novosibirsk

Abstract: Asymptotic properties of the sequence $\ln\mathbf P(\omega^2>x(n))$ in the region of large deviations (i. e. when $\displaystyle\lim_{n\to\infty}x(n)n=\infty$, $\displaystyle\lim_{n\to\infty}\sup x(n)<\infty$) are considered.

Received: 17.09.1975

 English version: Theory of Probability and its Applications, 1977, 22:1, 166–171

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