TY - JOUR
T1 - A Nonconventional Invariance Principle for Random Fields
AU - Kifer, Yuri
PY - 2013/6
Y1 - 2013/6
N2 - In Kifer and Varadhan (Ann Probab, to appear), we obtained a nonconventional invariance principle (functional central limit theorem) for sufficiently fast mixing stochastic processes with discrete and continuous time. In this article, we derive a nonconventional invariance principle for sufficiently well-mixing random fields.
AB - In Kifer and Varadhan (Ann Probab, to appear), we obtained a nonconventional invariance principle (functional central limit theorem) for sufficiently fast mixing stochastic processes with discrete and continuous time. In this article, we derive a nonconventional invariance principle for sufficiently well-mixing random fields.
KW - Limit theorems
KW - Mixing
KW - Random fields
UR - http://www.scopus.com/inward/record.url?scp=84878107878&partnerID=8YFLogxK
U2 - 10.1007/s10959-012-0473-9
DO - 10.1007/s10959-012-0473-9
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AN - SCOPUS:84878107878
SN - 0894-9840
VL - 26
SP - 489
EP - 513
JO - Journal of Theoretical Probability
JF - Journal of Theoretical Probability
IS - 2
ER -