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A note on a variance bound for the multinomial and the negative multinomial distribution

Authors: Afendras, G.; Papathanasiou, V.;

A note on a variance bound for the multinomial and the negative multinomial distribution

Abstract

We prove a Chernoff-type upper variance bound for the multinomial and the negative multinomial distribution. An application is also given.

8 pages

Country
Greece
Keywords

variance bounds, Cauchy-Schwartz inequality, covariance identity, Probability (math.PR), FOS: Mathematics, Primary 60E15, Inequalities; stochastic orderings, Exact distribution theory in statistics, Mathematics - Probability

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
bronze