On the Exact Distributions of the Individual Roots of the Complex Wishart and Multivariate Beta Matrices.
Abstract : In this report, the authors give tables for the exact percentage points of the individual roots of the complex Wishart and multivariate beta matrices. The applications of these tables in the area of the inference on multiple time series are also discussed. (Author)
In this paper, we study the Dirichlet problem for a singular Monge-Ampere type equation on unbounded domains. For a few special kinds of unbounded convex domains,we find the explicit formulas of the solutions to the problem. For general unbounded convex domain $\Om$, we prove the existence for solutions to the problem in the space$C^{\infty}(\Om)\cap~C~(\overline{\Om})$. We also obtain the local $C^{\frac{1}{2}}$-estimate up to the $\partial~\Omega$ and the estimate for the lower bound of the solutions.