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].
BT - Journal of Mathematical Analysis and Applications DA - 11/2016 DO - 10.1016/j.jmaa.2016.05.022 IS - 1 LA - eng N2 -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].
PY - 2016 SE - 385-408 T2 - Journal of Mathematical Analysis and Applications TI - Limit theorems for some Markov chains VL - 443 ER -