Let q be an odd prime power, and Hq,d denote the set of square-free monic polynomials D(x)∈Fq[x] of degree d. Katz and Sarnak showed that the moments, over Hq,d, of the zeta functions associated to the curves y(2)=D(x), evaluated at the central point, tend, as q→∞, to the moments of characteristic polynomials, evaluated at the central point, of matrices in USp(2⌊(d-1)/2⌋). Using techniques that...

Let {Xn ,n=>1} be a strictly stationary sequence of negatively associated random variables, with common distribution function F. In this paper, we consider the estimation of the two-dimensional distribution function of (X1, Xk+1) for fixed $K /in N$ based on kernel type estimators. We introduce asymptotic normality and properties and moments. From these we derive the optimal bandwidth...

A multi-level version of the Characteristic Basis Function Method (CBFM) is presented for computing the input impedance matrix and radiation patterns of very large antenna arrays. Specifically, we consider the challenging problem of an electrically large subarray that is surrounded by (many) other disjoint subarrays, and solve this problem by employing a two-level Characteristic Basis Function ...

This paper proposes the 4-parameter odd Lomax generalized exponential distribution for study of engineering and COVID-19 data. The statistical mathematical properties this such as a linear representation probability density function, survival hazard rate moments, quantile order statistics, entropy, mean deviation, characteristic average residual life function are established. estimates paramete...

New Zernike velocity moments have been developed to describe an object, not only by its shape , but also by its motion throughout an image sequence. These are an extended form of the orthogonal Zernike moment set and include velocity information introduced via centralised moments. Initial analysis shows that they perform well when applied to analysing gait sequences resulting in a good recognit...

We construct a class of Euclidean invariant distributions H indexed by a function H holomorphic at zero. These generalized functions can be considered as generalized densities w.r.t. the white noise measure and their moments fullll all Osterwalder-Schrader axioms except for reeection positivity. The case where F (s) = ?(H(is)+ 1 2 s 2); s 2 R, is a L evy characteristic is considered in AGW96]. ...