The LIL convergence for stationary linear random field

DOI10.1007/BF02106793zbMath0871.60040MaRDI QIDQ4332304

Shu-yuan He

Publication date: 24 September 1997

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

white noiselaw of iterated logarithmmartingale differencestationary linear random field

Mathematics Subject Classification ID

Random fields (60G60) Stationary stochastic processes (60G10) Strong limit theorems (60F15) Generalizations of martingales (60G48) Functional limit theorems; invariance principles (60F17)

Cites Work

• Maximal inequalities for multidimensionally indexed submartingale arrays
• Stochastic integrals in the plane
• The law of the iterated logarithm for B-valued random variables with multidimensional indices
• Some Strassen-type laws of the iterated logarithm for multiparameter stochastic processes with independent increments
• Exponential estimates for the maximum of partial sums. II (Random fields)
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