Nonlinearly Perturbed Semi-Markov Processes

ISBN-13: 9783319609874 / Angielski / Miękka / 2017 / 143 str.

Dmitrii Silvestrov; Sergei Silvestrov

Opis

The book presents new methods of asymptotic analysis for nonlinearly perturbed semi-Markov processes with a finite phase space.

Recenzje

"This book is aimed at studying asymptotic expansions for moment hitting times, stationary and conditional quasi-stationary distributions, and various further functionals, for nonlinearly perturbed semi-Markov processes having finite phase space. ... The bibliography is broad and relevant, and includes various publications of the authors thanks to their wide expertise on the topics under investigation. ... book is of interest to researchers working on semi-Markov processes, and provides a useful reference for investigations dealing with asymptotic problems for perturbed stochastic processes." (Antonio Di Crescenzo, Mathematical Reviews, July, 2018)

Spis treści

Laurent Asymptotic Expansions.- Asymptotic Expansions for Moments of Hitting Times for Nonlinearly Perturbed Semi-Markov Processes.- Asymptotic Expansions for Stationary Distributions of Nonlinearly Perturbed Semi-Markov Processes.- Nonlinearly Perturbed Birth-Death-Type Semi-Markov Processes.- Examples and Survey of Applied Perturbed Stochastic Models.- A. Methodological and Bibliographical Remarks.

O autorze

Dmitrii Silvestrov: Candidate of Science [eq. PhD], (1969, Kiev University), Doctor of Science (1972, Kiev University), Professor at Kiev University (1974-1992), Mälardalen University (1999-2009) and Stockholm University from 2009. The main areas of research are stochastic processes and actuarial and financial mathematics. Author of 10 books and more than 140 research papers, co-editor of 15 collective books and proceedings. Supervised 22 doctoral students who subsequently obtained eq. PhD and PhD degrees.

Sergei Silvestrov: PhD (1996, Umeå University), Docent at Lund University (2002-2011), Professor at Mälardalen University from 2011. The main areas of research are non-commutative analysis and geometry and applied matrix analysis. Author of 1 book and more than 120 research papers, co-editor of 15 collective books and proceedings. Supervised 6 doctoral students who subsequently obtained PhD degrees.