Limit theorems for some Markov chains

Autorzy: Hille S.; Horbacz K.; Szarek T.; Wojewódka-Ściążko H.
Czasopismo: Journal of Mathematical Analysis and Applications
Rok publikacji: 2016
Status: Opublikowane
Date Published: 11/2016
DOI: 10.1016/j.jmaa.2016.05.022
Numer: 1
Start Page: 385-408
Tom: 443
Abstrakt: 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].