Two ergodicity criteria for stochastically recursive sequences

We prove two criteria for so-called coupling- and strong coupling-convergence of stochastically recursive sequences.

[1]  E. Nummelin,et al.  A splitting technique for Harris recurrent Markov chains , 1978 .

[2]  K. Athreya,et al.  A New Approach to the Limit Theory of Recurrent Markov Chains , 1978 .

[3]  B. Lisek,et al.  A method for solving a class of recursive stochastic equations , 1982 .

[4]  V. Schmidt,et al.  Queues and Point Processes , 1983 .

[5]  P. Franken,et al.  Queues and Point Processes , 1983 .

[6]  E. Nummelin.  General irreducible Markov chains and non-negative operators: Notes and comments , 1984 .

[7]  E. Nummelin.  General irreducible Markov chains and non-negative operators: List of symbols and notation , 1984 .

[8]  A. A. Borovkov,et al.  Asymptotic Methods in Queueing Theory. , 1986 .

[9]  Y. Kifer.  Ergodic theory of random transformations , 1986 .

[10]  F. Baccelli,et al.  Palm Probabilities and Stationary Queues , 1987 .

[11]  Sلأren Asmussen,et al.  Applied Probability and Queues , 1989 .

[12]  A. W. Kemp,et al.  Applied Probability and Queues , 1989 .

[13]  S. G. Foss,et al.  Regeneration and renovation in queues , 1991, Queueing Syst. Theory Appl..

[14]  Steven Orey,et al.  Markov Chains with Stochastically Stationary Transition Probabilities , 1991 .

[15]  S. G. Foss,et al.  On the ergodicity conditions for stochastically recursive sequences , 1992, Queueing Syst. Theory Appl..

[16]  P. Franken,et al.  Stationary Stochastic Models. , 1992 .

[17]  A. A. Borovkov,et al.  STOCHASTICALLY RECURSIVE SEQUENCES AND THEIR GENERALIZATIONS , 1992 .