The Spectrum of Intervals for Superposed Erlang Renewal Processes
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1973
- Accession Number
- AD0764547
Entities
People
- J. N. Swan
- J. Y. Schrader Jr.
- P. W. Lewis
- R. D. Haskell
- R. D. Rantschler
- W. J. Hayne
Organizations
- Naval Postgraduate School