in this paper, we introduce the cone normed spaces and cone bounded linear mappings. among other things, we prove the baire category theorem and the banach--steinhaus theorem in cone normed spaces.

A local strict comparison theorem and some converse comparison theorems are proved for reflected backward stochastic differential equations under suitable conditions. AMS 2000 Subject Classification: 60H10, 60H30

In this paper, we prove a rigidity theorem of asymptotically hyperbolic manifolds only under the assumptions on curvature. Its proof is based on analyzing asymptotic structures of such manifolds at infinity and a volume comparison theorem.

The permanence of a single-species population discrete model with feedback control is considered. We found that if we use the method of comparison theorem, then the additional condition, to some extent, is necessary. But for the system itself, this condition may not be necessary. Here, we use new methods instead of the comparison theorem to get the permanence of the system in consideration; the...

A comparison theorem is stated for Markov processes in polish state spaces. We consider a general class of stochastic orderings induced by a cone of real functions. The main result states that stochastic monotonicity of one process and comparability of the infinitesimal generators imply ordering of the processes. Several applications to convex type and to dependence orderings are given. In part...

Using time series data over the past four decades, 1960s-1990s, this paper examines rice pricing policies in Thailand, Indonesia, and the Philippines. It analyzes the determinants of the paths along which these policies have moved. While this analysis confirms the findings of previous analyses, that price stabilization has been a major policy achievement, it also reveals that stabilization was ...

In realistic decision problems there is more often than not uncertainty in the background information. As for representation of uncertain or imprecise probability values, second-order probability, i.e. probability distributions over probabilities, offers an option. With a subjective view of probability second-order probability would seem to be impractical since it is hard for a person to constr...

We show that all the fundamental properties of competitive equilibrium in Marshall’s cardinal theory of value, as presented in Note XXI of the mathematical appendix to his Principles of Economics (1890), derive from the Strong Law of Demand. That is, existence, uniqueness, optimality, and global stability of equilibrium prices with respect to tatonnement price adjustment follow from the cyclica...

We show that all the fundamental properties of competitive equilibrium in Marshall’s cardinal theory of value, as presented in Note XXI of the mathematical appendix to his Principles of Economics (1890), derive from the Strong Law of Demand. That is, existence, uniqueness, optimality, and global stability of equilibrium prices with respect to tatonnement price adjustment follow from the cyclica...

Choosing a “good” set of colours for a graphical display is an important problem, but one which many data analysis practitioners are ill-equipped to solve. Most current graphics systems provide very little assistance in making good colour choices. Indeed, most systems require that a user specify their colours in ways which are closely related to the hardware representation of the colours rather...