\(U\)-statistics of random-size samples and limit theorems for systems of Markovian particles with non-Poisson initial distributions

DOI10.1214/aop/1176989005zbMath0793.60052OpenAlexW2033355162MaRDI QIDQ1317226

Svetlozar T. Rachev, Raisa Epstein Feldman

Publication date: 11 August 1994

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176989005

zbMATH Keywords

particle densitylimiting distribution\(U\)-statisticsinfinite system of signed Markovian particles

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Random fields (60G60) Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17)

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