Limit theorems for random sums of dependent d-dimensional random vectors

DOI10.1007/BF00537224zbMath0476.60023OpenAlexW2057333309MaRDI QIDQ3933700

Leszek Slominski, A. Kłopotowski, Marek Beśka

Publication date: 1982

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00537224

zbMATH Keywords

Jakubowski's lemmalimit theorems for random sums of dependent random vectorsPoissonian limit theorems

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

Related Items (6)

Double asymptotics for the chi-square statistic ⋮ A method for the derivation of limit theorems for sums of weakly dependent random variables:a survey ⋮ On the principle of conditioning and convergence to mixtures of distributions for sums of dependent random variables ⋮ Stable limits for Markov chains via the principle of conditioning ⋮ Poisson limit theorems for the Cressie-Read statistics ⋮ Asymptotics of the overflow in urn models

Cites Work

• Martingale Central Limit Theorems
• Martingale Convergence to Infinitely Divisible Laws with Finite Variances
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