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We explore the question whether Lipschitz functions of random variables under various forms of negative correlation satisfy concentration bounds similar to McDiarmid's inequality for independent random variables.
Asymptotic independence and limit theorems for positively and negatively dependent random variables
Charles M. Newman · 1984
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On the method of bounded differences
Colin McDiarmid · 1989
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Randomized distributed edge coloring via an extension of the Chernoff-Hoeffding bounds
Alessandro Panconesi and Aravind Srinivasan · 1997
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Balls and bins: a study in negative dependence
Devdatt Dubhashi and Desh Ranjan · 1998
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Towards a theory of negative dependence
Robin Pemantle · 2000
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Pipage Rounding: A new method of constructing algorithms with proven performance guarantee
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Negative dependence and the geometry of polynomials
Julius Borcea, Petter Brändén and Thomas M. Liggett · 2009
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Dependent randomized rounding for matroid polytopes and applications
Chandra Chekuri, Jan Vondrák and Rico Zenklusen · 2009
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Dependent randomized rounding via exchange properties of combinatorial structures
Chandra Chekuri, Jan Vondrák and Rico Zenklusen · 2010
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Pipage rounding, pessimistic estimators and matrix concentration
Nicholas J. A. Harvey and Neil Olver · 2014
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Concentration of Lipschitz functionals of determinantal and other strong Rayleigh measures
Robin Pemantle and Yuval Peres · 2014
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Random walks in polytopes and negative dependence
Yuval Peres, Mohit Singh and Nisheeth Vishnoi · 2017
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