TY - JOUR
T1 - Functional Erdős-Rényi law of large numbers for nonconventional sums under weak dependence
AU - Kifer, Yuri
N1 - Publisher Copyright:
© 2017 University of Washington. All rights reserved.
PY - 2017
Y1 - 2017
N2 - We obtain a functional Erdős–Rényi law of large numbers for “nonconventional” sums of the form Σn = ∑nm=1 F(Xm, X2m,…, Xℓm) where X1, X2,… is a sequence of exponentially fast ψ-mixing random vectors and F is a Borel vector function extending in several directions [18] where only i.i.d. random variables X1, X2,… were considered.
AB - We obtain a functional Erdős–Rényi law of large numbers for “nonconventional” sums of the form Σn = ∑nm=1 F(Xm, X2m,…, Xℓm) where X1, X2,… is a sequence of exponentially fast ψ-mixing random vectors and F is a Borel vector function extending in several directions [18] where only i.i.d. random variables X1, X2,… were considered.
KW - Hyperbolic diffeomorphisms
KW - Large deviations
KW - Laws of large numbers
KW - Markov chains
KW - Nonconventional sums
UR - http://www.scopus.com/inward/record.url?scp=85014667646&partnerID=8YFLogxK
U2 - 10.1214/17-EJP39
DO - 10.1214/17-EJP39
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AN - SCOPUS:85014667646
SN - 1083-6489
VL - 22
JO - Electronic Journal of Probability
JF - Electronic Journal of Probability
ER -