Let ${\mathrm{Z}}_{{\mathrm{M}}_{1}\times \mathrm{N}}={\mathrm{T}}^{\frac{1}{2}}\mathrm{X}$ where (T½)2 = T is a positive definite matrix and X consists of ...
Let A and B be independent, central Wishart matrices in p variables with common covariance and having m and n degrees of freedom, respectively. The distribution of the largest eigenvalue of (A + B)⁻¹ ...
Random Matrix Theory (RMT) has emerged as a potent framework to characterise the statistical properties of eigenvalues in large complex systems, bridging disciplines from quantum physics to number ...