Generalized symmetric polynomials and an approximate de Finetti representation

被引：5

作者：

Bobkov, SG ^{[1
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

JOURNAL OF THEORETICAL PROBABILITY | 2005年 / 18卷 / 02期

基金：

美国国家科学基金会;

关键词：

symmetric polynomials; quadratics induction; de Finetti representation;

D O I：

10.1007/s10959-005-3509-6

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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

引用

页码：399 / 412

页数：14

共 50 条

[1] Generalized Symmetric Polynomials and an Approximate De Finetti Representation
Sergey G. Bobkov
[J]. Journal of Theoretical Probability, 2005, 18 : 399 - 412
[2] Approximate exchangeability and de Finetti priors in 2022
Diaconis, Persi
[J]. SCANDINAVIAN JOURNAL OF STATISTICS, 2023, 50 (01) : 38 - 53
[3] A de Finetti representation for finite symmetric quantum states -: art. no. 122108
König, R
Renner, R
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (12)
[4] ON BOBKOV'S APPROXIMATE DE FINETTI REPRESENTATION VIA APPROXIMATION OF PERMANENTS OF COMPLEX RECTANGULAR MATRICES
Roos, Bero
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (04) : 1785 - 1796
[5] ON REPRESENTATION OF SYMMETRIC POLYNOMIALS
MCKAY, JKS
[J]. COMMUNICATIONS OF THE ACM, 1967, 10 (07) : 428 - &
[6] Symmetric determinantal representation of polynomials
Quarez, Ronan
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (09) : 3642 - 3660
[7] An integral representation of the generalized Humbert polynomials via Kampe de Feriet Hermite polynomials
Jaimini, B. B.
Saxena, Hemlata
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2009, 79A : 329 - 332
[8] On the rate of convergence in de Finetti's representation theorem
Mijoule, Guillaume
Peccati, Giovanni
Swan, Yvik
[J]. ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2016, 13 (02): : 1165 - 1187
[9] Unknown quantum states: The quantum de Finetti representation
Caves, CM
Fuchs, CA
Schack, R
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (09) : 4537 - 4559
[10] De Finetti representation theorem for quantum-process tomography
Fuchs, CA
Schack, R
Scudo, PF
[J]. PHYSICAL REVIEW A, 2004, 69 (06): : 062305 - 1

← 1 2 3 4 5 →