The single transferable vote is a method of election that allows voters to mark candidates in order of preference. Votes that are not required to elect a candidate are passed to the next candidate in the voter's order of preference. Results of this kind of election give us data about the degree...

The determination of the optimal release time for a new piece of software is of primary importance in the process of software development. We study a model where initially there are N faults in the software each with failure detection rate [lambda](t), but where the probability of a perfect...

An r consecutive k out of n: F system is a system of n linearly arranged components which fails if r non-overlapping sequences of k components fail. When r=1 we have the classic consecutive k out of n: F system about which there is an extensive literature. In this research we study the situation...

A real-valued function g of two vector arguments u and v is said to be arrangement increasing if it increases in value as the components of u and v become more similarly arranged. Let X = (X1, X2) have the Marshall-Olkin bivariate exponential distribution with parameters [lambda]1, [lambda]2 and...

IfX1, ...,Xnare random variables we denote byX(1)[less-than-or-equals, slant]X(2)[less-than-or-equals, slant]...[less-than-or-equals, slant]X(n)their respective order statistics. In the case where the random variables are independent and identically distributed, one may demonstrate very strong...

Convolutions of random variables which are either exponential or geometric are studied with respect to majorization of parameter vectors and the likelihood ratio ordering ([greater-or-equal, slanted]lr) of random variables. Let X[lambda], ..., X[lambda]n be independent exponential random...

A real valued function of s vector arguments in Rn is said to be arrangement increasing if the function increases in value as the components of the vector arguments become more similarly arranged. Various examples of arrangement increasing functions are given including many joint multivariate...