Remainder term estimate in a combinatorial limit theorem

DOI10.1007/BF00533317zbMath0366.60028OpenAlexW2068284565WikidataQ105198055 ScholiaQ105198055MaRDI QIDQ4142392

Publication date: 1976

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00533317

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Combinatorial probability (60C05)

Related Items (21)

On the \(L_ p\) rates of convergence of simple linear rank statistics under contiguous alternatives ⋮ An Improvement of a Uniform Bound on a Combinatorial Central Limit Theorem ⋮ On the Accuracy in a Combinatorial Central Limit Theorem: The Characteristic Function Method ⋮ A Uniform Bound on a Combinatorial Central Limit Theorem ⋮ An improvement of a non-uniform bound for combinatorial central limit theorem ⋮ On the probabilities of moderate deviations for combinatorial sums ⋮ On the probabilities of large deviations of combinatorial sums of independent random variables that satisfy the Linnik condition ⋮ Bounds of the remainder in a combinatorial central limit theorem ⋮ \(L_ p\)-nonuniform bounds for asymptotic normality of linear rank statistics ⋮ Esseen type bounds of the remainder in a combinatorial CLT ⋮ \(L^1\) bounds in normal approximation ⋮ On combinatorial strong law of large numbers and rank statistics ⋮ Some asymptotic results for a broad class of nonparametric statistics ⋮ Two central limit problems for dependent random variables ⋮ Berry-Esseen bounds for combinatorial central limit theorems and pattern occurrences, using zero and size biasing ⋮ Non uniform bound on a combinatorial central limit theorem ⋮ On large deviations for combinatorial sums ⋮ On the limiting distribution of the number of ``near-matches ⋮ A Non-Uniform Concentration Inequality for a Random Permutation Sum ⋮ An estimate of the remainder in a combinatorial central limit theorem ⋮ On the rate of convergence to normality for generalized linear rank statistics

Cites Work

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On the Hoeffding's combinatorial central limit theorem
Order of normal approximation for rank test statistics distribution
Edgeworth expansions in nonparametric statistics
Principles of combinatorics
On a Combinatorial Limit Theorem
Permanents
On sampling from a finite set of independent random variables
[https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
A Combinatorial Central Limit Theorem

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