Let {X1, X2, ..., Xn} be a set of independent continuous random lifetimes and let {Y1, Y2, ..., Yn} be another set of independent continuous random lifetimes. Let X(1) [less-than-or-equals, slant] X(2) [less-than-or-equals, slant] ... [less-than-or-equals, slant] X(n) be the order statistics...

A representation, called the total hazard construction, of dependent random variables by means of independent exponential random variables is studied. Conditions which imply association of nonnegative random variables are found using this construction. Furthermore, new conditions which imply...