Citations
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Asymptotic expansions for sums of nonidentically distributed Bernoulli random variables
TL;DR: In this paper, an asymptotic expansion for the distribution of the sum of independent zero-one random variables in case where this surname has variance σ n 2 → ∞ is given.
Journal ArticleDOI
On Limiting Distributions of Intermediate Order Statistics from Stationary Sequences
TL;DR: In this paper, the problem of finding the asymptotic distribution of the maximum term from a stationary dependent sequence of random variables (r.v.'s) has been extensively investigated in the literature.
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Approximation of intermediate quantile processes
Mikĺs Csörgo: O,Lajos Horváth +1 more
TL;DR: In this article, the authors prove weak convergence of weighted and non-weighted intermediate quantile processes with respect to the uniform quantile process in weighted metrics, using an approximation of the Uniform Quantile Process (UQP) in weighted metric space.
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Limit distributions of order statistics with random indices in a stationary Gaussian sequence
TL;DR: In this article, the limit distributions of the extreme, intermediate, and central order statistics of a stationary Gaussian sequence under equi-correlated setup were studied and sufficient and necessary conditions for the convergence were derived.
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On Limiting Distributions of Order Statistics with Variable Ranks from Stationary Sequences
TL;DR: In this paper, the limiting distribution of the order statistics of stationary sequences and stationary normal sequences is determined under appropriate conditions, where the stationary sequence is a stationary sequence and the normal sequence is an order statistics.
References
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