A note on filtered Markov renewal processes
- 1 September 1981
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 18 (3) , 752-756
- https://doi.org/10.2307/3213332
Abstract
A Markov renewal theorem necessary for the derivation of the moment formulas for a filtered Markov renewal process stated by Marcus (1974) is proved and its applications are outlined.Keywords
This publication has 10 references indexed in Scilit:
- Regularity of traffic noise signalsJournal of Sound and Vibration, 1982
- Filtered renewal processes with a two-sided impact functionJournal of Applied Probability, 1979
- The average noise from a Poisson stream of vehiclesJournal of Applied Probability, 1977
- Environmental Impacts of Highway Traffic as Two-Sided Filtered Markov Renewal ProcessesJournal of the Royal Statistical Society Series B: Statistical Methodology, 1974
- A Stochastic Model of Microscale Air Pollution from Highway TrafficTechnometrics, 1973
- Traffic noise as a filtered Markov renewal processJournal of Applied Probability, 1973
- Shot noise generated by a semi-Markov processJournal of Applied Probability, 1973
- The definition of a multi-dimensional generalization of shot noiseJournal of Applied Probability, 1971
- On the noise generated by a stream of vehiclesTransportation Research, 1970
- On the renewal equationPacific Journal of Mathematics, 1955