Simple upper and lower bounds for the multivariate Laplace approximation

DOI10.1016/j.jat.2014.06.011zbMath1333.41009arXiv1511.00302OpenAlexW1972202090MaRDI QIDQ401425

Tadeusz Inglot, Piotr Majerski

Publication date: 26 August 2014

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00302

zbMATH Keywords

error boundsmultiple integralsasymptotic approximation of integralsmultidimensional Laplace approximation

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Multidimensional problems (41A63)

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Cites Work

• Error bounds for multidimensional Laplace approximation
• Asymptotic optimality of new adaptive test in regression model
• A theorem on the asymptotic behavior of a multiple integral
• Asymptotic Approximations of Integrals
• Matrix Analysis
• Approximations to a Class of Double Integrals of Functions of Large Numbers
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