Limit theorems for random processes with random time substitution

DOI10.3103/S1066369X08120074zbMath1167.60007arXiv0908.3395OpenAlexW2090173486MaRDI QIDQ1006998

E. E. Permyakova

Publication date: 26 March 2009

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3395

zbMATH Keywords

Skorohod spacealmost sure functional limit theoremcomposition of random processesrandom time substitution

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17)

Cites Work

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• Convergence of random step lines to Ornstein-Uhlenbeck-type processes
• Almost sure versions of some functional limit theorems
• Functional limit theorems for Lévy processes and their almost-sure versions
• Integral analogues of almost sure limit theorems
• Almost Sure Limit Theorems for the Pearson Statistic
• Weak Convergence of Stochastic Processes Defined on Semi-Infinite Time Intervals

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