Generalized symmetric polynomials and an approximate de Finetti representation

DOI10.1007/s10959-005-3509-6zbMath1079.28001OpenAlexW2017579732MaRDI QIDQ1780931

Sergey G. Bobkov

Publication date: 14 June 2005

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-005-3509-6

zbMATH Keywords

symmetric polynomialsinductionde Finetti representation

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Measures and integrals in product spaces (28A35) Exchangeability for stochastic processes (60G09)

Related Items (7)

Probabilizing parking functions ⋮ Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections ⋮ Asymptotic behaviour of the first positions of uniform parking functions ⋮ On fine properties of mixtures with respect to concentration of measure and Sobolev type inequalities ⋮ Concentration of normalized sums and a central limit theorem for noncorrelated random variables ⋮ On Bobkov’s approximate de Finetti representation via approximation of permanents of complex rectangular matrices ⋮ New permanent approximation inequalities via identities

Cites Work

• The central limit theorem for exchangeable random variables without moments
• Finite exchangeable sequences
• Concentration of normalized sums and a central limit theorem for noncorrelated random variables
• Empirical central limit theorems for exchangeable random variables
• Central Limit Theorems for Interchangeable Processes
• Exchangeable processes need not be mixtures of independent, identically distributed random variables

This page was built for publication: Generalized symmetric polynomials and an approximate de Finetti representation