The quest of the best classifier for a discriminant analysis problem is often rather hard and a combination of classifiers of different type promises to lead to improved predictive models compared to selecting one of the competitors. We propose to use the out-of-bag sample for training of...

The focal point of this paper is to provide some simple and efficient criteria to judge the -stability of two families of polynomials, i.e., an interval multilinear polynomial matrix family and a polytopic polynomial family. Taking advantage of the uncertain parameter information, we analyze...

For the two sixth-order polynomials () and (), Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial () such that ()/() and ()/() are both strictly positive real. Our reasoning method is constructive, and is insightful and helpful in solving...

For any two order polynomials () and (), the Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial () such that ()/() and ()/() are both strictly positive real

Set-indexed stochastic analysis and set-indexed stochastic calculus are faced here with a new approach of dimension's reduction. We introduce a new tool (main flow) in order to deal with one-parameter calculus in set-indexed framework. We prove an Ito formula for any Brownian functional where...

This paper studies the comparison theorem of forward-backward differential equations with Poisson jumps(FBSDEJ for short). We use a purely probabilistic approch including stopping time techneque and iteration method to prove comparison theorem. Here we only investigate some classes of FBSDEJs...

In this article, we address the problem of computing the distribution functions that can be expressed as discrete mixtures of continuous distributions. Examples include noncentral chisquare, noncentral beta, noncentral , noncentral and the distribution of squared sample multiple correlation. We...

Let denote the usual operator trace or a -module matrix-trace on the matrix -algebra () of a unital Abelian -algebra . It is proved thatwhere , are any positive trace-class operators on a separable Hilbert space, or positive elements in (), and is any positive integer. This result generalizes an...