Generalized symmetric polynomials and an approximate de Finetti representation

Sergey G. Bobkov

doi:10.1007/s10959-005-3509-6

Generalized symmetric polynomials and an approximate de Finetti representation

Sergey G. Bobkov

School of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

For probability measures on product spaces which are symmetric under permutations of coordinates, we study the rate of approximation by mixtures of product measures.

Original language	English (US)
Pages (from-to)	399-412
Number of pages	14
Journal	Journal of Theoretical Probability
Volume	18
Issue number	2
DOIs	https://doi.org/10.1007/s10959-005-3509-6
State	Published - Apr 2005

Bibliographical note

Funding Information:
Research was partially supported by NSF Grant DMS-0405587.

Keywords

De Finetti representation
Induction
Quadratic
Symmetric polynomials

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10.1007/s10959-005-3509-6

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title = "Generalized symmetric polynomials and an approximate de Finetti representation",

abstract = "For probability measures on product spaces which are symmetric under permutations of coordinates, we study the rate of approximation by mixtures of product measures.",

keywords = "De Finetti representation, Induction, Quadratic, Symmetric polynomials",

author = "Bobkov, \{Sergey G.\}",

note = "Funding Information: Research was partially supported by NSF Grant DMS-0405587.",

year = "2005",

month = apr,

doi = "10.1007/s10959-005-3509-6",

language = "English (US)",

volume = "18",

pages = "399--412",

journal = "Journal of Theoretical Probability",

issn = "0894-9840",

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T1 - Generalized symmetric polynomials and an approximate de Finetti representation

AU - Bobkov, Sergey G.

N1 - Funding Information: Research was partially supported by NSF Grant DMS-0405587.

PY - 2005/4

Y1 - 2005/4

N2 - For probability measures on product spaces which are symmetric under permutations of coordinates, we study the rate of approximation by mixtures of product measures.

AB - For probability measures on product spaces which are symmetric under permutations of coordinates, we study the rate of approximation by mixtures of product measures.

KW - De Finetti representation

KW - Induction

KW - Quadratic

KW - Symmetric polynomials

UR - https://www.scopus.com/pages/publications/18244375552

UR - https://www.scopus.com/pages/publications/18244375552#tab=citedBy

U2 - 10.1007/s10959-005-3509-6

DO - 10.1007/s10959-005-3509-6

M3 - Article

AN - SCOPUS:18244375552

SN - 0894-9840

VL - 18

SP - 399

EP - 412

JO - Journal of Theoretical Probability

JF - Journal of Theoretical Probability

IS - 2

ER -

Generalized symmetric polynomials and an approximate de Finetti representation

Abstract

Bibliographical note

Keywords

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