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The Lyapounov central limit theorem for factorizable arrays


Author: Jacek Wesołowski
Journal: Proc. Amer. Math. Soc. 122 (1994), 565-574
MSC: Primary 60F05
MathSciNet review: 1254859
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Abstract: A sort of the Lyapounov central limit theorem for row-wise factorizable triangular arrays is obtained. Also a new version of the classical Lyapounov theorem for independent random variables, being a tool in the proof of the main result, seems to be of independent interest.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1254859-6
Keywords: Central limit theorem, Lyapounov theorem, factorizable distributions
Article copyright: © Copyright 1994 American Mathematical Society