# Stability of precise Laplace's method under approximations; Applications

ESAIM: Probability and Statistics (2010)

- Volume: 3, page 67-88
- ISSN: 1292-8100

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topGuionnet, A.. "Stability of precise Laplace's method under approximations; Applications." ESAIM: Probability and Statistics 3 (2010): 67-88. <http://eudml.org/doc/197763>.

@article{Guionnet2010,

abstract = {
We study the fluctuations around non degenerate attractors
of the empirical measure under mean field Gibbs measures.
We prove that a mild change of the densities
of these measures does not affect the central limit theorems.
We apply this result to generalize the assumptions
of [3] and [12] on the densities of the Gibbs measures to
get precise Laplace estimates.
},

author = {Guionnet, A.},

journal = {ESAIM: Probability and Statistics},

keywords = {Large deviation; central limit theorem; U-statistics.; central limit theorems; Gibbs measures; Laplace estimates},

language = {eng},

month = {3},

pages = {67-88},

publisher = {EDP Sciences},

title = {Stability of precise Laplace's method under approximations; Applications},

url = {http://eudml.org/doc/197763},

volume = {3},

year = {2010},

}

TY - JOUR

AU - Guionnet, A.

TI - Stability of precise Laplace's method under approximations; Applications

JO - ESAIM: Probability and Statistics

DA - 2010/3//

PB - EDP Sciences

VL - 3

SP - 67

EP - 88

AB -
We study the fluctuations around non degenerate attractors
of the empirical measure under mean field Gibbs measures.
We prove that a mild change of the densities
of these measures does not affect the central limit theorems.
We apply this result to generalize the assumptions
of [3] and [12] on the densities of the Gibbs measures to
get precise Laplace estimates.

LA - eng

KW - Large deviation; central limit theorem; U-statistics.; central limit theorems; Gibbs measures; Laplace estimates

UR - http://eudml.org/doc/197763

ER -

## References

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