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Asymptotics of two integrals from optimization theory and geometric probability

Published online by Cambridge University Press:  01 July 2016

D. J. Gates
D. J. Gates*
Affiliation:
Csiro Division of Mathematics and Statistics
*
∗Postal address: CSIRO Division of Mathematics and Statistics, GPO Box 1965, Canberra ACT 2601, Australia.
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Abstract

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Asymptotic series are derived for two integrals using a Gaussian identity and Laplace’s method, demonstrating an improvement over earlier methods.

Keywords

LAPLACE’S METHODOPTIMIZATION
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 17 , Issue 4 , December 1985 , pp. 908 - 910
Copyright
Copyright © Applied Probability Trust 1985 

References

Anderssen, R. S., Brent, R. P., Daley, D. J. and Moran, P. A. P. (1976) Concerning and a Taylor series method. SIAM J. Appl. Math. 30, 22–30.Google Scholar