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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive

Teor. Veroyatnost. i Primenen., 1974 Volume 19, Issue 1, Pages 3–14 (Mi tvp2754)

This article is cited in 23 papers

Boundary problems for a complex Poisson process

V. S. Korolyuk

Kiev

Abstract: A new approach to investigation of boundary functionals is proposed. It is based on the following idea: first one constucts and studies the potential and the resolvent of the process and then, with their help, one investigates the boundary functionals.
As an example, the distribution of the maximum of a complex Poisson process with delay barrier with positive jumps and negative drift is studied.

Received: 05.07.1973


 English version:
Theory of Probability and its Applications, 1974, 19:1, 1–13

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