2000Theory of Probability and Its ApplicationsRequires access

On the Accuracy of Normal Approximation for the Densities of Sums of Independent Identically Distributed Random Variables

Yu. V. Zhukov

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Abstract

The structure of the nonuniform estimate of convergence rate in the local central limit theorem for the densities of sums of independent identically distributed random variables is made more accurate. The absolute constants are written out explicitly.

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The structure of the nonuniform estimate of convergence rate in the local central limit theorem for the densities of sums of independent identically distributed random variables is made more accurate. The absolute constants are written out explicitly.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The structure of the nonuniform estimate of convergence rate in the local central limit theorem for the densities of sums of independent identically distributed random variables is made more accurate. The absolute constants are written out explicitly.

Key concepts: Independent and identically distributed random variables, Mathematics, Central limit theorem, Random variable, Illustration of the central limit theorem, Limit (mathematics), Convergence (economics), Convergence of random variables

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