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.
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© 2004 Springer Basel AG
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Falk, M., Reiss, RD., Hüsler, J. (2004). Functional Laws of Small Numbers. In: Laws of Small Numbers: Extremes and Rare Events. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7791-6_1
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DOI: https://doi.org/10.1007/978-3-0348-7791-6_1
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-2416-2
Online ISBN: 978-3-0348-7791-6
eBook Packages: Springer Book Archive