Stationary distribution of the stochastic process with switchings

Stationary distribution of the stochastic process with switchings

(Russian, English abstract)

Lotov V. I., Khodjibayev V. R.
Siberian Electronic Mathematical Reports, 22, 2, pp. 1266-1277 (2024)

УДК 519.21 
DOI: 10.33048/semi.2025.22.076  
MSC 60G50


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