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Teoriya Veroyatnostei i ee Primeneniya, 1999, Volume 44, Issue 1, Pages 143–148
DOI: https://doi.org/10.4213/tvp608 (Mi tvp608) 		 
Short Communications

Local limit theorems for conditionally independent random variables controlled by a finite Markov chain

T. Shervashidze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Full-text PDF (885 kB)
DOI: https://doi.org/10.4213/tvp608
Abstract: The sufficient conditions for the validity of local theorems for conditionally independent random variables controlled by a finite homogeneous regular Markov chain are given in terms of conditional distributions of summands.
Keywords: conditionally independent random variables, local theorems for densities, local theorem for lattice distributions, normal attraction to the stable law.
Received: 24.07.1997
English version:
Theory of Probability and its Applications, 2000, Volume 44, Issue 1, Pages 131–135
DOI: https://doi.org/10.1137/S0040585X97977446
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. Shervashidze, “Local limit theorems for conditionally independent random variables controlled by a finite Markov chain”, Teor. Veroyatnost. i Primenen., 44:1 (1999), 143–148; Theory Probab. Appl., 44:1 (2000), 131–135
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
\yr 2000
\vol 44
\issue 1
\pages 131--135
\crossref{https://doi.org/10.1137/S0040585X97977446}
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  • https://www.mathnet.ru/eng/tvp/v44/i1/p143
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