In this paper we address the problem of testing the equality in the right spread order of two random variables. We develop a family of tests statistics for right spread order. This technique is also used for testing NBUE [NWUE] aging classes. For these tests, we provide asymptotic results, and...

For given real and monotone functionshi's, we obtain the necessary and sufficient conditions in order that any n-valuated function[Psi](x) be the conditional expectationE(h(X)/X>x) of a discrete random vectorX, whereh(X) denotes the random vector (h1(X1), ..., hn(Xn)).

One purpose of this paper is to study the relationship of the dilation order ([less-than-or-equals, slant]dil) to two other stochastic orders: the mean residual life order ([less-than-or-equals, slant]mrl) and the increasing convex order ([less-than-or-equals, slant]icx). Regarding these orders,...

The dispersive orderings arise in a great variety of contexts. In this paper we bridge the gap between dispersive orderings and ageing classes. We give characterizations of the IFR(DFR) and DMRL(IMRL) classes in terms of the dispersive and dilation orderings.

In this paper, the residual Kullback-Leibler discrimination information measure is extended to conditionally specified models. The extension is used to characterize some bivariate distributions. These distributions are also characterized in terms of proportional hazard rate models and weighted...

This paper provides a procedure of easy approximation to obtain the direction of the illumination vector for a window under an overcast sky.

The limiting behavior of the hazard rate of coherent systems based on sequential order statistics is examined. Related results for the survival function of the system lifetime are also considered. For deriving the results, properties of limits involving a relevation transform are studied in...

Stemming from the expressions of the illumination vector provided by vertical openings at any point of the interior space, this article proposes and solves the equivalent expressions for openings in horizontal planes, thus completing the expressions of Navarro [Sobre iluminación natural en...