This article is cited in 5 papers

Short Communications

On inequalities for large deviations of certain statistics

V. V. Yurinskiĭ

Moscow

Abstract: This paper deals with multidimensional variants of the Kolmogorov–Smirnov and $\omega^2$-tests. In section 1, exponentially decreasing bounds are given for the first kind error probability. In section 2, rough estimates are derived for the power of the tests under consideration.

Received: 15.01.1971

 English version: Theory of Probability and its Applications, 1971, 16:2, 385–387

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