A Generalization of Teicher's Poisson Tail Inequality

Teicher [1955] proved that the probability a Poisson distribution with mean k takes on a value of k or less is monotonically decreasing in k. I extend this inequality by proving that the probability a Poisson distribution with mean zk takes on a value of k or less is monotonically decreasing for z at least 1

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Year of publication:	2017
Authors:	Leo, Greg
Publisher:	[2017]: [S.l.] : SSRN
Subject:	Statistische Verteilung \| Statistical distribution \| Einkommensverteilung \| Income distribution \| Wahrscheinlichkeitsrechnung \| Probability theory \| Theorie \| Theory \| Stochastischer Prozess \| Stochastic process

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