The Berry–Esseen Bound for General Markov Chains
- Autores: Nagaev S.V.1
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Afiliações:
- Sobolev Institute of Mathematics, Siberian Branch of RAS
- Edição: Volume 234, Nº 6 (2018)
- Páginas: 829-846
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242019
- DOI: https://doi.org/10.1007/s10958-018-4050-3
- ID: 242019
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Resumo
A rate of convergence in the CLT is studied for recurrent Markov chains. The Berry–Esseen type bound is obtained with explicit dependence on parameters of the chain. The method of the proof is purely analytical. It is based on the complex analysis of generating functions.
Sobre autores
S. Nagaev
Sobolev Institute of Mathematics, Siberian Branch of RAS
Autor responsável pela correspondência
Email: nagaev@math.nsc.ru
Rússia, Novosibirsk
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