Statistical inferences for sample correlation matrices are important in high dimensional data analysis. Motivated by this, this paper establishes a new central limit theorem (CLT) for a linear spectral statistic (LSS) of high dimensional sample correlation matrices for the case where the...

A graphical model is a statistical model that is associated with a graph whose nodes correspond to variables of interest. The edges of the graph reflect allowed conditional dependencies among the variables. Graphical models have computationally convenient factorization properties and have long...

This paper determines the vertices and surface volumes of all rounding polytopes for the most commonly used rounding methods: the quota method of greatest remainders and the divisor methods. These rounding methods are used to round continuous non-negative weights summing up to one to...