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ЖУРНАЛЫ // Theory of Stochastic Processes // Архив

Theory Stoch. Process., 2012, том 18(34), выпуск 2, страницы 15–23 (Mi thsp26)

The unified form of Pollaczek–Khinchine formula for Lévy processes with matrix-exponential negative jumps

D. Gusaka, Ie. Karnaukhb

a Institute of Mathematics of the NAS of Ukraine, 3, Tereshchenkivs'ka Str., Kyiv 01601, Ukraine
b O. Honchar Dnipropetrovsk National University, 72, Gagarina Pr., Dnipropetrovsk 49010, Ukraine

Аннотация: For Lévy processes with matrix-exponential negative jumps, the unified form of the Pollaczek-Khinchine formula is established.

Ключевые слова: Pollaczek–Khinchine formula; Lévy processes; matrix-exponential negative jumps.

MSC: Primary 60G51; Secondary 60K10

Язык публикации: английский



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