The paper discusses the moments of Wishart matrices, in both central and noncentral cases. first part shows that expectation map has certain homogeneity equivariance properties which impose considerable structure on moments, hitherto unrecognised. second explains how may be computed efficiently. two parts are completely independent, but computations produce precisely algebraic predicted part, a...

We study the number of real roots a Kostlan random polynomial degree d in one variable. More generally, we consider counting measure set such polynomials. compute large asymptotics central moments these variables. As consequence, obtain strong Law Large Numbers and Central Limit Theorem. In particular, almost surely equidistribute as diverges. Moreover, fluctuations their converge distribution ...

Non-uniform estimates of the rate convergence in central limit theorem for sums independent identically distributed summands are refined under condition that possess moments orders no higher than two.

A great deal of work has been done on the evaluation of information retrieval systems for alphanumeric data. The same thing can not be said about the newly emerging multimedia and image database systems. One of the central concerns in these systems is the automatic characterization of image content and retrieval of images based on similarity of image content. In this paper, we discuss effective...