7 papers · 1 filter
Edgeworth expansions for integer valued additive functionals of uniformly elliptic Markov chains
Dmitry Dolgopyat, Yeor Hafouta
We obtain asymptotic expansions for probabilities of partial sums of uniformly bounded integer-valued functionals of uniformly ellip…
A Berry-Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains
Dmitry Dolgopyat, Yeor Hafouta
We prove a Berry-Esseen theorem and Edgeworth expansions for partial sums of the form , where is a uniformly elliptic inhomogeneous Ma…
Edgeworth expansions for independent bounded integer valued random variables
Dmitry Dolgopyat, Yeor Hafouta
We obtain asymptotic expansions for local probabilities of partial sums for uniformly bounded independent but not necessarily identically distributed integer-valued random variable…
A functional CLT for nonconventional polynomial arrays
Yeor Hafouta
In this paper we will prove a functional central limit theorems for "nonconventional" sums indexed by polynomial arrays.
Limit theorems for some skew products with mixing base maps
Yeor Hafouta
We obtain central limit theorem, local limit theorems and renewal theorems for stationary processes generated by skew product maps $T(\om,x)=(\te\om,T_\om x)$ together with a -i…
Nonconventional moderate deviations theorems and exponential concentration inequalities
Yeor Hafouta
We obtain moderate deviations theorems and exponential (Bernstein type) concentration inequalities for "nonconventional" sums of the form $S_N=\sum_{n=1}^N (F(ξ_{q_1(n)},ξ_{q_2(n)}…