Limit theorems for symmetric statistics of exchangeable random variables

DOI10.1016/0167-7152(93)90010-GzbMath0780.60023OpenAlexW1991236568MaRDI QIDQ1802440

Vidyadhar Mandrekar, Ronald Frank Patterson

Publication date: 30 January 1994

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(93)90010-g

zbMATH Keywords

central limit theorem\(U\)-statisticsexchangeable random variablesmultiple Wiener-Itô integral

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stochastic integrals (60H05) Exchangeability for stochastic processes (60G09)

Cites Work

• Weak convergence of a sequence of stochastic processes related with U- statistics
• Symmetric statistics, Poisson point processes, and multiple Wiener integrals
• Weak convergence of infinite order U-processes
• Uses of exchangeability
• Multiple Wiener integral
• Strong convergence' for u–statistics in arrays of.row–wise exchangeable random variables
• A Class of Statistics with Asymptotically Normal Distribution
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