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math.PR2018★ 2 cited
Higher order asymptotics for large deviations -- Part I
Kasun Fernando, Pratima Hebbar
For sequences of non-lattice weakly dependent random variables, we obtain asymptotic expansions for Large Deviation Principles. These expansions, commonly referred to as strong lar…
math.PR2018★ 17 cited
Multi-type branching processes with time dependent branching rates
Dmitry Dolgopyat, Pratima Hebbar, Leonid Koralov +1
Under mild non-degeneracy assumptions on branching rates in each generation, we provide a criterion for almost-sure extinction of a multi-type branching process with time-dependent…