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MiS Preprint
67/2008

Higher Asymptotics of Laplace's Approximation

William Kirwin

Abstract

We present an explicit asymptotic series for multiple integrals of Laplace type (the first term of which is known as Laplace's approximation) in terms of asymptotic series of the functions in the integrand.

Received:
09.10.08
Published:
16.10.08
MSC Codes:
41A60, 41A63, 44A10
Keywords:
Laplace's approximation, Laplace integral, asytmptotic expansion

Related publications

inJournal
2010 Repository Open Access
William D. Kirwin

Higher asymptotics of Laplace's approximation

In: Asymptotic analysis, 70 (2010) 3/4, pp. 231-248