Derives leading asymptotics for collision-time tails of integrable inhomogeneous Markov chains via steepest-descent analysis and Karlin-McGregor expansion, confirming a prediction for push-block particle systems.
A Berry-Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains.Probab
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A T-estimation-based procedure for adaptive density estimation and optimal control in offline contextual MDPs without stationarity, providing oracle risk bounds under two loss functions and finite-sample cost guarantees.
Derives non-uniform Berry-Esseen estimates for weakly dependent sequences in Markov chains, hyperbolic dynamical systems, random matrix products, and local statistics.
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Non-colliding space-time inhomogeneous Markov chains
Derives leading asymptotics for collision-time tails of integrable inhomogeneous Markov chains via steepest-descent analysis and Karlin-McGregor expansion, confirming a prediction for push-block particle systems.
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Non-uniform Berry-Esseen theorems for weakly dependent random variables
Derives non-uniform Berry-Esseen estimates for weakly dependent sequences in Markov chains, hyperbolic dynamical systems, random matrix products, and local statistics.