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arxiv: 0707.1461 · v1 · submitted 2007-07-10 · 🧮 math.PR

Conditional large and moderate deviations for sums of discrete random variables. Combinatoric applications

classification 🧮 math.PR
keywords applicationscombinatoricdiscretelargemoderaterandomvariablesconditional
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We prove large and moderate deviation principles for the distribution of an empirical mean conditioned by the value of the sum of discrete i.i.d. random variables. Some applications for combinatoric problems are discussed.

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