1304.6913 (Victor Chulaevsky)

On the regularity of the conditional distribution of the sample mean    [PDF]

Victor Chulaevsky

We show that the hypothesis of regularity of the conditional distribution of the empiric average of a finite sample of IID random variables, given all the sample "fluctuations", which appeared in our earlier manuscript |1] in the context of the eigenvalue concentration analysis for multi-particle random operators, is satisfied for the uniform probability distributions. It extends the well-known property of Gausssian IID samples.

View original: http://arxiv.org/abs/1304.6913