Inequalities in a Two-Sided Boundary Crossing Problem for Stochastic Processes
V. I. LotovNovosibirsk State University, Novosibirsk, RussiaV. R. KhodjibayevInstitute of Mathematics, Namangan Regional Department, Uzbekistan Academy of Sciences, Namangan, Uzbekistan
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Аннотация
Considering a stationary stochastic process with independent increments (Lévy process), we study the probability of the first exit from a strip through its upper boundary. We find the two-sided inequalities for this probability under various conditions on the process.
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