Functional Laws of Small Numbers

Michael Falk (), Rolf-Dieter Reiss () and Jürg Hüsler ()
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Michael Falk: University of Würzburg, Institute of Applied Mathematics and Statistics
Rolf-Dieter Reiss: University of Siegen, Department of Mathematics
Jürg Hüsler: University of Berne, Department of Mathematical Statistics and Actuarial Science

Chapter Chapter 1 in Laws of Small Numbers: Extremes and Rare Events, 2004, pp 3-22 from Springer

Abstract: Abstract We will develop in the following a particular extension of the well known Poisson approximation of binomial distributions with a small hitting probability, which is known as the law of small numbers. This extension, which one might call functional laws of small numbers, links such seemingly different topics like nonparametric regression analysis and extreme value theory.

Keywords: Variational Distance; Random Element; Empirical Process; Independent Copy; Hellinger Distance (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7791-6_1

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DOI: 10.1007/978-3-0348-7791-6_1

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