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Fundamentalnaya i Prikladnaya Matematika, 2001, Volume 7, Issue 3, Pages 721–734 (Mi fpm591)  

Limit theorems for sample quantiles of associated random sequences

S. V. Ekisheva

Syktyvkar State University
Abstract: The Bahadur representation of the empirical distribution function for associated strictly stationary random sequence is considered. It is used for proving asymptotic normality of sample quantile, the functional central theorem and the functional law of the iterated logarithm for sample quantile.
Received: 01.03.1997
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: S. V. Ekisheva, “Limit theorems for sample quantiles of associated random sequences”, Fundam. Prikl. Mat., 7:3 (2001), 721–734
Citation in format AMSBIB
\Bibitem{Eki01}
\by S.~V.~Ekisheva
\paper Limit theorems for sample quantiles of associated random sequences
\jour Fundam. Prikl. Mat.
\yr 2001
\vol 7
\issue 3
\pages 721--734
\mathnet{http://mi.mathnet.ru/fpm591}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1879294}
\zmath{https://zbmath.org/?q=an:1046.62048}
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    Фундаментальная и прикладная математика
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