Stationary distribution of the stochastic process with switchings
Stationary distribution of the stochastic process with switchings
(Russian, English abstract)
Siberian Electronic Mathematical Reports, 22, 2, pp. 1266-1277 (2024)
Abstract:
We study a stochastic process with switchings between two independent Levy processes while achieving regulatory barriers. We find the Laplace--Stieltjes transform of the stationary distribution of this process and its asymptotic representations for high regulatory barrier.
Keywords: oscillating stochastic process, Levy process, stationary distribution, factorization method
