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Asymptotic behaviour of point processes with Markov-dependent intervals

✍ Scribed by K. B. Athreya; R. L. Tweedie; D. Vere-Jones

Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
657 KB
Volume
99
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 renewal theorem is proved, from H hich analogues to both BLWKWELL'S and BREIMAN'S forms of the renewal theorem can be deduced.

πŸ“œ SIMILAR VOLUMES

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.

Asymptotic behaviour in time of KdV type
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✍ V. Bisognin; G. Perla Menzala πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 325 KB

we study the asymptotic hehaviour in time of the solutions of a class of evolution equations whose simplest representative would be the Korteweg de Vries equation with variable coefficients. Specific rates of decay are given in either the "conservative" or the dissipative case.