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Convergence of Point Processes with Weakly Dependent Points

✍ Scribed by Raluca M. Balan; Sana Louhichi


Publisher
Springer US
Year
2008
Tongue
English
Weight
652 KB
Volume
22
Category
Article
ISSN
0894-9840

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Asymptotic behaviour of point processes
✍ 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