From the 1 of 15 linked papers with an AI index.
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Local limit theorem and Edgeworth expansions for inhomogeneous random walks on
Yeor Hafouta
We prove a non-lattice local central limit theorem and Edgeworth expansions for the logarithm of the norms of products of invertible independent random matrices. Our conditions inc…
A few notes on the asymptotic behavior of Rademacher random multiplicative functions
Yeor Hafouta
The paper investigates the asymptotic behavior of sums of Rademacher random multiplicative functions, providing new moment estimates, martingale‑based concentration inequalities, a…
Effective geometric ergodicty for Markov chains in random environment
Yeor Hafouta
In this short note we prove ``effective" geometric ergodicity (i.e a Perron-Frobenius theorem) for Markov chains in random mixing dynamical environment satisfying a random non-unif…
Non-uniform Berry-Esseen theorems for weakly dependent random variables
Yeor Hafouta
We obtain non-uniform Berry-Esseen type estimates for several classes of weakly dependent sequences of random variables, including uniformly elliptic inhomogeneous Markov chains, r…
Berry-Esseen Bounds for Statistics of Non-Stationary, -Mixing Random Variables
Brendan Williams, Yeor Hafouta
Using a modification of Stein's method, we generalize the results of Bentkus, G{ö}tze, and Tikhomirov \cite{bentkus1997berry} to obtain Berry-Esseen bounds for a broad class of st…
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…