Boundary functionals for Levy processes and their applications
Dmytro Gusak
Broschiertes Buch

Boundary functionals for Levy processes and their applications

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The aim of this book is to summarize the obtained results of investigation of the boundary problems tied with distributions of boundary functionals for random processes and random walks with independent increments considered in the fluctuation theory and to draw attention to their connection with the risk theory. In the book special attention is paid to Levy processes with hyperexponentially distributed jumps. For them the unified prelimit and limit Pollaczeck-Khinchine formulas are established. They are used in the investigation of distributions of boundary functionals defining different char...