16 citations · 19 across the 9 of their papers we have counts for
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math.PR2018
A local large deviation principle for inhomogeneous birth-death processes
N. D. Vvedenskaya, A. V. Logachov, Y. M. Suhov +1
The paper considers a continuous-time birth-death process where the jump rate has an asymptotically polynomial dependence on the process position. We obtain a rough exponential asy…
math.PR2018★ 3 cited
The local principle of large deviations for compound Poisson process with catastrophes
A. Logachov, O. Logachova, A. Yambartsev
The continuous time Markov process considered in this paper belongs to a class of population models with linear growth and catastrophes. There, the catastrophes happen at the arriv…