Stability of a theorem of uniqueness of a characteristic function that is analytic in the neighborhood of the origin

N A Sapogov

doi:10.1007/bf01084503

Stability of a theorem of uniqueness of a characteristic function that is analytic in the neighborhood of the origin

N A Sapogov

https://doi.org/10.1007/bf01084503

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Journal: Journal of Soviet Mathematics

Publication Date: Jan 1, 1986

#Distribution Functions In Terms #Characteristic Function #Finite Intervals #Function Of Normal Distribution #Straight Line #Distribution Functions #Standard Normal Distribution #Theorem Of Uniqueness #Quantitative Estimates #Normal Distribution

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Quantitative estimates are obtained for the closeness of distribution functions in terms of the closeness of their characteristic functions considered in finite intervals only. A detailed analysis is presented for the characteristic function of the standard normal distribution on a straight line.

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Stability of a theorem of uniqueness of a characteristic function that is analytic in the neighborhood of the origin