Mathematics and Statistics Vol. 3(4), pp. 106 - 112
DOI: 10.13189/ms.2015.030405
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On Conditional Distribution of the Sample Mean for Densities with Singular Logarithmic Derivative

Victor Chulaevsky ^*
Department of Mathematics, University of Reims Champagne-Ardenne, France

ABSTRACT

We study the regularity of the conditional distribution of the empiric mean of a finite sample of IID random variables with a bounded common probability density, conditional on the sample "uctuations", and extend a prior result, proved for strictly positive smooth densities, to a larger class of smooth densities vanishing at one or more points of their support.

KEYWORDS
Conditional Sample Mean, Eigenvalue Concentration Estimates, Multi-particle Anderson Localization

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Victor Chulaevsky , "On Conditional Distribution of the Sample Mean for Densities with Singular Logarithmic Derivative," Mathematics and Statistics, Vol. 3, No. 4, pp. 106 - 112, 2015. DOI: 10.13189/ms.2015.030405.

(b). APA Format:
Victor Chulaevsky (2015). On Conditional Distribution of the Sample Mean for Densities with Singular Logarithmic Derivative. Mathematics and Statistics, 3(4), 106 - 112. DOI: 10.13189/ms.2015.030405.