Limit theorems for some Markov chains

Author Hille S.; Horbacz K.; Szarek T.; Wojewódka-Ściążko H.
Title Limit theorems for some Markov chains
Journal Journal of Mathematical Analysis and Applications
Year 2016
Status Published
Volume 443
Issue 1
DOI 10.1016/j.jmaa.2016.05.022
Abstract <p>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 &amp; Szarek (2015) [8]), which generalize the cell cycle model given by Lasota &amp; Mackey (1999) [12].</p>