A Berry-Esséen Inequality without Higher Order Moments

Ningning Wang () and Ibrahim A. Ahmad ()
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Ningning Wang: Jackson State University
Ibrahim A. Ahmad: Oklahoma State University

Sankhya A: The Indian Journal of Statistics, 2016, vol. 78, issue 2, No 2, 180-187

Abstract: Abstract In this note, a generalized form of the celebrated Berry-Esséen inequality is developed assuming only second-order moments to exist in the case of independent but not identically distributed random variables. The result generalizes and unifies many well known and highly used forms of the Berry-Esséen inequality.

Keywords: Berry-Esséen inequality; Central limit theorem; Convergence rates; Primary:; 60F05 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13171-016-0084-0

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