The spectrum of intervals for superposed Erlang renewal processes
By: by P.A.W. Lewis, R.D. Haskell, W.J. Hayne, R.D. Rantschler, J.Y. Schrader, Jr. [and] J.N. Swan
Contributors: Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1973
Place of publication: Monterey, California
Language: eng
Number of pages: 39
Subjects: Renewal theory; Queuing theory
Description: The spectrum of the stationary synchronous interval process in the stochastic point process obtained by superposing p Erlang renewal processes is derived by using relationships based on the Palm-Khinchine formulae and the fundamental identity linking the counting process of a point process to the interval process. The spectra coincide with those of mixed moving average--autoregressive processes. Explicit results are derived for a few simple cases for small p and a computational formula for the more complicated cases. Some general results on the shape of the spectrum of intervals are also given. (Author)
Notes: Title from cover.

"June 1973."

"NPS-55LW73062A"--Cover.

DTIC Identifiers: Laplace transformation, applications of mathematics, point processes, renewal processes, stationary point processes, Erlang density functions.

Author(s) key words: Spectrum, spectrum of intervals, spectrum of counts, point processes, superposition, Erlan renewal process, moving average process, autoregressive process, mixed moving average, autoregressive process.

Includes bibliographical references (p. 25).

"Approved for public release; distribution unlimited"--Cover.

Technical report; 1973.

kmc/kmc 9/11/09.