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An Example of Wold's Point Processes with Markov-Dependent Intervals

✍ Scribed by C. D. Lai

Book ID
118155459
Publisher
Applied Probability Trust
Year
1978
Tongue
English
Weight
767 KB
Volume
15
Category
Article
ISSN
0021-9002

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πŸ“œ SIMILAR VOLUMES

Asymptotic behaviour of point processes
Asymptotic behaviour of point processes with Markov-dependent intervals
✍ K. B. Athreya; R. L. Tweedie; D. Vere-Jones πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 657 KB

The "splitting techniques" for MARKOV chains developed by NUMMELIN (197th) :tnd QTHREYA and NET (1978 b) are used to derive an imbedded renewal process in WOLD'S point process with MARKov-correlated intervals. This leads to a simple proof of renewal theorems for snch processes. I n particular, a key

A Point Process with Second Order MARKOV
A Point Process with Second Order MARKOV Dependent Intervals
✍ F. S. Chong πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 391 KB

## Abstract The limiting behaviour of the point process with 2nd order MARKOV‐dependent intervals is analysed through the use of β€œregeneration time”. The results for the case of periodic MARKOV‐dependent intervals are briefly mentioned.