Convergence of sums of Markov renewal processes to a branching poisson process
β Scribed by M. A. Yastrebenetskii
- Publisher
- Springer US
- Year
- 1974
- Tongue
- English
- Weight
- 397 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1573-8337
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π SIMILAR VOLUMES
A Bernoulli thinning of a Markov renewal process is investigated. The properties of the thinned process are considered and are related to the properties of the original process. The parameters, moments and equilibrium of the thinned process are determined in terms of the parameters defining the unde
We study GaltonαWatson branching processes conditioned on the total ' Ε½ . progeny to be n which are scaled by a sequence c tending to infinity as o n . It is shown n that this process weakly converges to the total local time of a two-sided three-dimensional Bessel process. This is done by means of c