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Optimal Convergence Rates and One-Term Edgeworth Expansions for Multidimensional Functionals of Gaus...

Optimal Convergence Rates and One-Term Edgeworth Expansions for Multidimensional Functionals of Gaus...

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2083669487

Optimal Convergence Rates and One-Term Edgeworth Expansions for Multidimensional Functionals of Gaussian Fields

About this item

Full title

Optimal Convergence Rates and One-Term Edgeworth Expansions for Multidimensional Functionals of Gaussian Fields

Author / Creator

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2013-11

Language

English

Formats

Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

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Scope and Contents

Contents

We develop techniques for determining the exact asymptotic speed of convergence in the multidimensional normal approximation of smooth functions of Gaussian fields. As a by-product, our findings yield exact limits and often give rise to one-term generalized Edgeworth expansions increasing the speed of convergence. Our main mathematical tools are Ma...

Alternative Titles

Full title

Optimal Convergence Rates and One-Term Edgeworth Expansions for Multidimensional Functionals of Gaussian Fields

Authors, Artists and Contributors

Author / Creator

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Record Identifier

TN_cdi_proquest_journals_2083669487

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2083669487

Other Identifiers

E-ISSN

2331-8422

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