Abstract:
Random variables x1,x2… with the conditions E{xi|xj−1,…} are considered and two theorems on the normal convergence of sums ∑n1xj are established.
Citation:
I. A. Ibragimov, “A Central Limit Theorem for a Class of Dependent Random Variables”, Teor. Veroyatnost. i Primenen., 8:1 (1963), 89–94; Theory Probab. Appl., 8:1 (1963), 83–89
\Bibitem{Ibr63}
\by I.~A.~Ibragimov
\paper A~Central Limit Theorem for a~Class of Dependent Random Variables
\jour Teor. Veroyatnost. i Primenen.
\yr 1963
\vol 8
\issue 1
\pages 89--94
\mathnet{http://mi.mathnet.ru/tvp4650}
\transl
\jour Theory Probab. Appl.
\yr 1963
\vol 8
\issue 1
\pages 83--89
\crossref{https://doi.org/10.1137/1108007}
Linking options:
https://www.mathnet.ru/eng/tvp4650
https://www.mathnet.ru/eng/tvp/v8/i1/p89
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