Limit theorems for some Markov chains

TitleLimit theorems for some Markov chains
Publication TypeJournal Article
Year of Publication2016
AuthorsHille SC, Horbacz K, Szarek T, Wojewódka-Ściążko H
JournalJournal of Mathematical Analysis and Applications
Volume443
Issue1
Start Page385-408
Date Published11/2016
Keywordscentral limit theorem, exponential rate of convergence, invariant measures, Markov operators
Abstract

The exponential rate of convergence and the Central Limit Theorem for some Markov operators are established. These operators were efficiently used in some biological models (see Hille, Horbacz & Szarek (2015) [8]), which generalize the cell cycle model given by Lasota & Mackey (1999) [12].

DOI10.1016/j.jmaa.2016.05.022