By Mats Gyllenberg
The publication is dedicated to reviews of quasi-stationary phenomena in nonlinearly perturbed stochastic structures. New equipment of asymptotic research for nonlinearly perturbed stochastic procedures in accordance with new different types of asymptotic expansions for perturbed renewal equation and recurrence algorithms for building of asymptotic expansions for Markov style strategies with absorption are awarded. Asymptotic expansions are given in combined ergodic (for approaches) and massive deviation theorems (for absorption occasions) for nonlinearly perturbed regenerative techniques, semi-Markov tactics, and Markov chains. purposes to research of quasi-stationary phenomena in nonlinearly perturbed queueing structures, inhabitants dynamics and epidemic types, and for danger methods are provided. The e-book additionally comprises a longer bibliography of works within the quarter. it truly is an important reference for theoretical and utilized researchers within the box of stochastic techniques and their purposes and will be additionally important for doctoral and complicated undergraduate scholars.
Read Online or Download Quasi-Stationary Phenomena in Nonlinearly Perturbed Stochastic Systems (de Gruyter Expositions in Mathematics) PDF
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