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Large deviation theorems for weighted sums applied to a geographical problem

Part of: Limit theorems

Published online by Cambridge University Press:  14 July 2016

Olivier Bonin
Olivier Bonin*
Affiliation:
Institut Géographique National
*
∗ Postal address: Institut Géographique National, Laboratoire COGIT, 2-4 avenue Pasteur, F-94165 Saint-Mandé Cedex, France. Email address: olivier.bonin@ign.fr
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Abstract

A large deviation expansion is used to evaluate the impact of errors in a geographical database on the computation of travel times. We work in the framework of discrete random variables and improve a theorem by Book to solve this problem. Simulations are provided to illustrate the methodology.

Keywords

Large deviation expansionsweighted sumslocal CLT

MSC classification

Primary: 60F10: Large deviations
Secondary: 60F05: Central limit and other weak theorems 60F15: Strong theorems
Type
Research Papers
Information
Journal of Applied Probability , Volume 39 , Issue 2 , June 2002 , pp. 251 - 260
Copyright
Copyright © Applied Probability Trust 2002 

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References

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