18 citations · 59 across the 39 of their papers we have counts for
6 papers · 2 filters
Limit theorems for inhomogeneous random walks on
Yeor Hafouta
We prove Berry-Esseen theorems, almost sure invariance principle rates and large deviations for products of independent but not identically distributed invertible matrices with som…
Non-uniform Edgeworth expansions for weakly dependent random variables and their applications
Yeor Hafouta
We obtain non-uniform Edgeworth expansions for several classes of weakly dependent (non-stationary) sequences of random variables, including uniformly elliptic inhomogeneous Markov…
Statistical properties of Markov shifts (part I)
Yeor Hafouta
We prove central limit theorems, Berry-Esseen type theorems, almost sure invariance principles, large deviations and Livsic type regularity for partial sums of the form $S_n=\sum_{…
Statistical properties of Markov shifts: part II-LLT
Yeor Hafouta
We prove Local Central Limit Theorems (LLT) for partial sums of the form , where is a Markov chains with equicontinuou…
Limit theorems for inhomogeneous -mixing Markov chains
Yeor Hafouta, Brenden Williams
We prove limit theorems for inhomogeneous -mixing Markov chains. In the case of uniform -mixing, we will focus on the purely sequential (inhomogeneous) setting, while in the…
A few notes on the asymptotic behavior of Rademacher random multiplicative functions
Yeor Hafouta
Let $X_p, p\in\cP$ be a sequence of independent random variables s.t. $\bbP(X_p=\pm 1)=1/2$. Let $\te_j=\prod_{p|j}X_p$ if is square free and $\te_j=0$ otherwise. Denote $S_n=\…