Higher order asymptotics for large deviations -- Part I
Abstract
For sequences of non-lattice weakly dependent random variables, we obtain
asymptotic expansions for Large Deviation Principles. These expansions,
commonly referred to as strong large deviation results, are in the spirit of
Edgeworth Expansions for the Central Limit Theorem. We apply our results to
show that Diophantine iid sequences, finite state Markov chains, strongly
ergodic Markov chains and Birkhoff sums of smooth expanding maps & subshifts of
finite type satisfy these strong large deviation results.
Type
Journal articlePermalink
https://hdl.handle.net/10161/19320Collections
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Pratima Hebbar
Phillip Griffiths Assistant Research Professor
I am a Griffiths Assistant Research Professor at the Department of Mathematics at
Duke University. Prior to arriving at Duke, I completed my Ph.D. from the Department
of Mathematics at the University of Maryland. The main focus of my research is asymptotic
problems arising from Branching Processes, Branching Diffusions and related Dynamical
Systems.

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