FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 3, PAGES 721-734

Limit theorems for sample quantiles of associated random sequences

S. V. Ekisheva

Abstract

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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.

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Last modified: December 23, 2001