Some characterizations of stochastic orders

Applications of TP2 Functions in Theory of Stochastic Orders: A Review of some Useful Results

In the literature on Statistical Reliability Theory and Stochastic Orders, several results based on theory of TP2/RR2 functions have been extensively used in establishing various properties. In this paper, we provide a review of some useful results in this direction and highlight connections between them.

Some Characterizations of Domination

We show that a cocycle has a dominated splitting if and only if there is a uniform exponential gap between singular values of its iterates. Then we consider sets Σ in GL(d, R) with the property that any cocycle with values in Σ has a dominated splitting. We characterize these sets in terms of existence of invariant multicones, thus extending a 2-dimensional result by Avila, Bochi, and Yoccoz. W...

SOME CHARACTERIZATIONS OF HYPER MV -ALGEBRAS

In this paper we characterize hyper MV -algebras in which 0 or1 are scalar elements . We prove that any nite hyper MV -algebra that 0is a scaler element in it, is an MV -algebra. Finally we characterize hyperMV -algebras of order 2 and order 3.

Some Characterizations of C(m)

Some Characterizations of Developable Spaces

Two characterizations of developable spaces are proved which may be viewed as analogues, for developable spaces, of the Nagata-Smirnov metrization theorem or of the "double sequence metrization theorem " of Nagata respectively.