SOME INEQUALITIES IN ONE TWO-BOUNDARY PROBLEM FOR STOCHASTIC PROCESSES WITH INDEPENDENT INCREMENTS

30.03.2023 International Scientific Journal "Science and Innovation". Series A. Volume 2 Issue 3

V.R. Khodjibaev, M.Z. Kulmatova

Abstract. Two-sided estimates are found for the average value of the moment of the first exit from the interval of a homogeneous process with independent increments in the case when the process jumps are bounded from above and below

Keywords: homogeneous process with independent increments, first exit time, ruin probability.