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Theory of Stochastic Processes, 2012, Volume 18(34), Issue 2, Pages 24–32 (Mi thsp27)  
On the speed of convergence in the local limit theorem for triangular arrays of random variables

V. P. Knopova

V.M. Glushkov Institute of Cybernetics, NAS of Ukraine, 40, Acad. Glushkov Ave., 03187, Kiev, Ukraine
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Abstract: We establish the upper bound on the speed of convergence to the infinitely divisible limit density in the local limit theorem for triangular arrays of random variables $\{X_{k,n},\, k=1,..,a_n, \, n\in \mathbb{N}\}$.
Keywords: Local limit theorem, infinitely divisible law, speed of convergence.
Bibliographic databases:
Document Type: Article
MSC: Primary 60F05, 60F15; Secondary 60B10
Language: English
Citation: V. P. Knopova, “On the speed of convergence in the local limit theorem for triangular arrays of random variables”, Theory Stoch. Process., 18(34):2 (2012), 24–32
Citation in format AMSBIB
\Bibitem{Kno12}
\by V. P. Knopova
\paper On the speed of convergence in the local limit theorem for triangular arrays of random variables
\jour Theory Stoch. Process.
\yr 2012
\vol 18(34)
\issue 2
\pages 24--32
\mathnet{http://mi.mathnet.ru/thsp27}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3124772}
\zmath{https://zbmath.org/?q=an:1289.60019}
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