A. A. Mogul'skiǐ, “Remarks on large deviations for the $\omega^2$-statistics”, Teor. Veroyatnost. i Primenen., 22:1 (1977), 170–175; Theory Probab. Appl., 22:1 (1977), 166

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Teoriya Veroyatnostei i ee Primeneniya, 1977, Volume 22, Issue 1, Pages 170–175 (Mi tvp3171)

This article is cited in 7 scientific papers (total in 7 papers)

Short Communications

Remarks on large deviations for the

$\omega^2$ -statistics

A. A. Mogul'skiĭ

Novosibirsk

Full-text PDF (332 kB) Citations (7)

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, Volume 22, Issue 1, Pages 166–171
DOI: https://doi.org/10.1137/1122018

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. A. Mogul'skiǐ, “Remarks on large deviations for the

$\omega^2$ -statistics”, Teor. Veroyatnost. i Primenen., 22:1 (1977), 170–175; Theory Probab. Appl., 22:1 (1977), 166–171

Citation in format AMSBIB

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\by A.~A.~Mogul'ski{\v\i}

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

\jour Teor. Veroyatnost. i Primenen.

\yr 1977

\vol 22

\issue 1

\pages 170--175

\mathnet{http://mi.mathnet.ru/tvp3171}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=436454}

\zmath{https://zbmath.org/?q=an:0375.60034}

\transl

\jour Theory Probab. Appl.

\yr 1977

\vol 22

\issue 1

\pages 166--171

\crossref{https://doi.org/10.1137/1122018}

Linking options:

https://www.mathnet.ru/eng/tvp3171

https://www.mathnet.ru/eng/tvp/v22/i1/p170

This publication is cited in the following 7 articles:

Zaitsev A.Yu. Kagan A.M. Nikitin Ya.Yu., “Toward the History of the St. Petersburg School of Probability and Statistics. Iv. Characterization of Distributions and Limit Theorems in Statistics”, Vestn. St Petersb. Univ.-Math., 52:1 (2019), 36–53
Aurea Grané, Anna V. Tchirina, “Asymptotic properties of a goodness-of-fit test based on maximum correlations”, Statistics, 47:1 (2013), 202
V. R. Fatalov, “Point Asymptotics for Probabilities of Large Deviations of the $\omega^2$ Statistics in Verification of the Symmetry Hypothesis”, Problems Inform. Transmission, 40:3 (2004), 212–225
M. S. Ermakov, “On large deviations of type II error probabilities of Kolmogorov and omega-squared tests”, J. Math. Sci. (N. Y.), 128:1 (2005), 2538–2555
V. I. Piterbarg, V. R. Fatalov, “The Laplace method for probability measures in Banach spaces”, Russian Math. Surveys, 50:6 (1995), 1151–1239
Henry Braun, “A Simple Method for Testing Goodness of Fit in the Presence of Nuisance Parameters”, Journal of the Royal Statistical Society Series B: Statistical Methodology, 42:1 (1980), 53
L. V. Osipov, “On the probabilities of large deviations for sums of independent random vectors”, Theory Probab. Appl., 23:3 (1979), 490–506

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Theory of Probability and its Applications

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