Nonparametric Statistics: Weighted Rankings Analysis (2006)
We examine the credibility hypothesis associated with the method of Weighted Rankings Analysis. We consider a multivariate test for homogeneity based on all nearest neighbors. We extend exact tables...
Ergodicity of the adic transformation on the Euler graph (2006)
Sarah Bailey, Michael Keane, Karl Petersen, Ibrahim A. Salama, S. Bailey, M. Keane, ...
The Euler graph has vertices labelled (n,k) for n = 0,1,2,... and k = 0,1,...,n, with k + 1 edges from (n,k) to (n + 1,k) and n − k + 1 edges from (n,k) to (n + 1,k + 1). The number of paths from...
Topological entropy and classification of countable chains /--by Ibrahim A. Salama. (1984)
Thesis (Ph. D.)--University of North Carolina at Chapel Hill, 1984.
Spherical uniformity and some characterizations of the Cauchy distribution
Salama, Ibrahim A., Sen, Pranab Kumar
Given a fixed line L (in Rn) and a uniform distribution of points (c) on the unit sphere, L(tc), the point of intersection of L and the hyperplane P · c = 0, leads to a mapping Xn : Rn --> R,...
The asymptotic normality of a rank correlation statistic based on rises
Salama, Ibrahim A., Quade, Dana
A martingale approach is used to establish the asymptotic normality of a simple new measure of rank correlation.
On the asymptotic permutational normality of certain weighted measures of correlation
Salama, Ibrahim A., Quade, Dana
A martingale approach is used to establish the asymptotic normality of a class of weighted correlation statistics, including the statistic proposed by Salama and Quade (1982).
The Spearman footrule and a Markov chain property
Sen, Pranab Kumar, Salama, Ibrahim A.
An equivalent representation of the Spearman footrule is considered and a characterization in terms of a Markov chain is established. A martingale approach is thereby incorporated in the study of the...