Geodesic
Limit theorems for recurrent semi-Markov processes and Markov renewal processes
Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IX, Tome 142 (1985), pp. 86-97

Voir la notice de l'article provenant de la source Math-Net.Ru

For Harris recurrent Markov renewal processes and semi-Markov processes one obtains a central limit theorem. One also obtains Berry–Esseen type estimates for this theorem. Their proof is based on the Kolmogorov–Doeblin regenerative method. 
@article{ZNSL_1985_142_a8,
     author = {V. K. Malinovskii},
     title = {Limit theorems for recurrent {semi-Markov} processes and {Markov} renewal processes},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {86--97},
     publisher = {mathdoc},
     volume = {142},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a8/}
}
TY  - JOUR
AU  - V. K. Malinovskii
TI  - Limit theorems for recurrent semi-Markov processes and Markov renewal processes
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1985
SP  - 86
EP  - 97
VL  - 142
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a8/
LA  - ru
ID  - ZNSL_1985_142_a8
ER  - 
%0 Journal Article
%A V. K. Malinovskii
%T Limit theorems for recurrent semi-Markov processes and Markov renewal processes
%J Zapiski Nauchnykh Seminarov POMI
%D 1985
%P 86-97
%V 142
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a8/
%G ru
%F ZNSL_1985_142_a8
V. K. Malinovskii. Limit theorems for recurrent semi-Markov processes and Markov renewal processes. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part IX, Tome 142 (1985), pp. 86-97. http://geodesic.mathdoc.fr/item/ZNSL_1985_142_a8/