Abstract
A point process, N, on the real line, is thinned using a k -dependent Markov sequence of binary variables, and is rescaled. Second-order properties of the thinned process are described when k = 1. For general k, convergence to a compound Poisson process is demonstrated.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference8 articles.
1. Simple Proof of a Result on Thinned Point Processes
2. Rudemo M. (1973) On a random transformation of a point process to a Poisson process. In Mathematics and Statistics: Essays in honour of Harald Bergström, ed. Jagers P. and Råde L. , Göteborg, pp. 79–85.
3. Limits of compound and thinned point processes
4. Stochastic Point Processes: Limit Theorems
5. Limit Theorems for Dissipative Flows
Cited by
21 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献