We consider usual stochastic and likelihood ratio orders. It has already been proven that the comparison of two random vectors (or variables) in the sense of likelihood ratio implies their comparison in the sense of usual stochastic order. In this paper, we will prove that the reverse is also...

Building on a new theory of parametric risk models initiated in Hürlimann(1998), it is shown how mean scaled individual risk models can be constructed. The approximate computation of their distributions and related quantities can be done in the author's (1990) mathematical framework of...

In this article, a simple algorithm is provided to maximize a family of optimal statistics for hypothesis testing with a nuisance parameter not defined under the null hypothesis. This arises from genetic linkage and association studies and other hypothesis testing problems. It is known that the...

The success of each method of cluster analysis depends on how well its underlying model describes the patterns of expression. Outlier-resistant and distribution-insensitive clustering of genes are robust against violations of model assumptions.A measure of dissimilarity that combines advantages...

Let be a compact definable group and : → definable -maps between definable -sets. We prove that if is compact, is a definable -fiber bundle over and and are -homotopic, then () and () are definably -isomorphic.Let be a compact subgroup of (ℝ) and : → definable maps between definable...

We will discuss some applications to Temporal Reasoning Systems, in which the set of times over which we reason forms a lattice. Related work can be found in the papers of Owicki and Lamport, McMillin et. al., among others

A kind of stochastic differential equations with jumps are offered first, then the Euler scheme for these equations are present, at last their continuous dependence on initial value and convergence are be studied

It is well known that mixed quasi variational inequalities are equivalent to implicit fixed-point problems. We use this alternative equivalent formulation to suggest and analyze a new self-adaptive resolvent method for solving mixed quasi variational inequalities in conjunction with a technique...