Limit theorems for some Markov chains

作者：Hille Sander; Horbacz Katarzyna; Szarek Tomasz^*; Wojewodka Hanna^*

来源：Journal of Mathematical Analysis and Applications, 2016, 443(1): 385-408.

DOI：10.1016/j.jmaa.2016.05.022

• Exponential rate of convergence
• Central limit theorem
• Markov operators
• Invariant measures

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 generalise the cell cycle model given by Lasota & Mackey (1999) [12].

• 出版日期2016-11-1