
arXiv: 1110.3265
We prove a Chernoff-type upper variance bound for the multinomial and the negative multinomial distribution. An application is also given.
8 pages
variance bounds, Cauchy-Schwartz inequality, covariance identity, Probability (math.PR), FOS: Mathematics, Primary 60E15, Inequalities; stochastic orderings, Exact distribution theory in statistics, Mathematics - Probability
variance bounds, Cauchy-Schwartz inequality, covariance identity, Probability (math.PR), FOS: Mathematics, Primary 60E15, Inequalities; stochastic orderings, Exact distribution theory in statistics, Mathematics - Probability
| 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). | 2 | |
| 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. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
