On normal approximation of large products of functions: A refinement of Blackwell's result.

Lo, Albert Y.; Sazonov, V.V.

Displaying similar documents to “On normal approximation of large products of functions: A refinement of Blackwell's result.”

Diophantine approximation and special Liouville numbers

Johannes Schleischitz (2013)

Communications in Mathematics

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This paper introduces some methods to determine the simultaneous approximation constants of a class of well approximable numbers $ζ_{1}, ζ_{2}, ..., ζ_{k}$ . The approach relies on results on the connection between the set of all $s$ -adic expansions ( $s \geq 2$ ) of $ζ_{1}, ζ_{2}, ..., ζ_{k}$ and their associated approximation constants. As an application, explicit construction of real numbers $ζ_{1}, ζ_{2}, ..., ζ_{k}$ with prescribed approximation properties are deduced and illustrated by Matlab plots.

On the magnitude of asymptotic probability measures of Dedekind zeta-functions and other Euler products

Kohji Matsumoto (1991)

Acta Arithmetica

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Simultaneous approximation by a class of linear positive operators.

Kunwar, B., Pandey, Bramha Dutta (2010)

Acta Universitatis Apulensis. Mathematics - Informatics

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Asymptotic distributions οf linear combinations of order statistics

Małgorzata Bogdan (1994)

Applicationes Mathematicae

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We study the asymptotic distributions of linear combinations of order statistics (L-statistics) which can be expressed as differentiable statistical functionals and we obtain Berry-Esseen type bounds and the Edgeworth series for the distribution functions of L-statistics. We also analyze certain saddlepoint approximations for the distribution functions of L-statistics.