Independence screening is a variable selection method that uses a ranking criterion to select significant variables, particularly for statistical models with nonpolynomial dimensionality or "large p, ...

Correlation coefficients are indicators of the strength of the linear relationship between two different variables, x and y. A linear correlation coefficient that is greater than zero indicates a ...

Let Q = (Q₁ ,..., Qn) be a random vector drawn from the uniform distribution on the set of all n! permutations of {1, 2, ..., n]. Let Z = (Z₁ ,..., Zn), where Zj is the mean zero variance one random ...

Jonathan Borwein (Jon) receives funding from the ARC. Michael Rose does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, ...

Research of the probability and statistics group includes particle systems, theoretical statistics, non-conventional random walks, random matrix theory, and random polynomials. Research interests also ...

Sean Ross is a strategic adviser at 1031x.com, Investopedia contributor, and the founder and manager of Free Lances Ltd. Thomas J Catalano is a CFP and Registered Investment Adviser with the state of ...

In this paper, we propose Vasicek-type models for estimating portfolio-level probability of default (PD). With these Vasicek models, asset correlation and long-run PD (LRPD) for a risk-homogeneous ...

Statistics is the science of analyzing data; the use of statistics is ubiquitous in science, engineering, medicine and epidemiology, marketing, and many other application areas. Probability theory ...