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Regenerative stochastic processes
  • W. L. Smith
  • Mathematics
  • Proceedings of the Royal Society of London…
  • 11 October 1955
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 aExpand
  • 598
  • 27
Renewal Theory and its Ramifications
  • 403
  • 13
ON THE SUPERPOSITION OF RENEWAL PROCESSES
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 randomExpand
  • 216
  • 5
On the Renewal Function for the Weibull Distribution
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 areExpand
  • 99
  • 5
On the distribution of queueing times
  • 131
  • 4
A Note on Truncation and Sufficient Statistics
  • 20
  • 2
  • PDF
A theorem on functions of characteristic functions and its application to some renewal theoretic random walk problems
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. TheExpand
  • 11
  • 2
  • PDF
Nonlinear Refractive Index of Glasses and Crystals
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 briefExpand
  • 175
  • 1