An invariance principle for mixing sequences of random variables

DOI10.1007/BF00535894zbMath0259.60007MaRDI QIDQ5674729

Walter Philipp, G. R. Webb

Publication date: 1973

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

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Brownian motion (60J65) Convergence of probability measures (60B10)

Related Items (6)

Radonifying mappings and functional central limit theorems ⋮ An invariance principle for dependent random variables ⋮ Moment inequalities for mixing sequences ⋮ Invariance principle for nonhomogeneous Markov chains ⋮ Limit theorems for counting large continued fraction digits ⋮ The invariance principle for ϕ-mixing sequences

Cites Work

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• The central limit problem for mixing sequences of random variables
• The Law of the Iterated Logarithm for Mixing Stochastic Processes
• Mixing sequences of random variables and probablistic number theory
• Some Limit Theorems for Stationary Processes

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