On the estimates of the rate of convergence in the central limit theorem for homogeneous Markov chains
Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 2, pp. 219-228
S. H. Siraždinov; š. K. Formanov. On the estimates of the rate of convergence in the central limit theorem for homogeneous Markov chains. Teoriâ veroâtnostej i ee primeneniâ, Tome 28 (1983) no. 2, pp. 219-228. http://geodesic.mathdoc.fr/item/TVP_1983_28_2_a1/
@article{TVP_1983_28_2_a1,
     author = {S. H. Sira\v{z}dinov and \v{s}. K. Formanov},
     title = {On the estimates of the rate of convergence in the central limit theorem for homogeneous {Markov} chains},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {219--228},
     year = {1983},
     volume = {28},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1983_28_2_a1/}
}
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The rate of convergence in the central limit theorem for homogeneous Markov chains is studied in the case when it is not assumed that the transition probability function has finite third absolute moment. The uniform metric and $L_p$-metric ($1\le p\le\infty$) are considered.