A Berry-Esseen-like inequality is provided for the difference between the characteristic function of a weighted sum of conditionally independent random variables and the characteristic function of the standard normal law. Some applications and possible extensions of the main result are also illustrated.

Estimates of the approximation of weighted sums of conditionally independent random variables by the normal law

DOLERA, EMANUELE
2013

Abstract

A Berry-Esseen-like inequality is provided for the difference between the characteristic function of a weighted sum of conditionally independent random variables and the characteristic function of the standard normal law. Some applications and possible extensions of the main result are also illustrated.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11571/1183596
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