A wide class of stochastic processes, called regenerative, is defined, and it is shown that under general conditions the instantaneous probability distribution of such a process tends with time to a… Expand

Suppose that there are a number of independent sources at each of which events occur from time to time. The intervals between successive events at any one source are assumed to be independent random… Expand

A series expansion is developed for the renewal function associated with the Weibull distribution. The expansion is valid for all values of the time t, and the coefficients of the powers of t are… Expand

This paper is concerned with three main problems and their interrelationship. A function M(x) belongs to the "moment-class" M* if it is nonnegative and nondecreasing on [0, o), if M(x + y) 0. The… Expand

The propagation of intense optical beams through dielectric media induces changes in the refractive index which cause self-focusing and beam breakup in high-power laser systems. After a brief… Expand