Article contents
Recurrence properties of Processes with stationary independent increments
Published online by Cambridge University Press: 09 April 2009
Extract
Let X1, X2,…Xn, … be independent and identically distributed random variables, and write . In [2] Chung and Fuchs have established necessary and sufficient conditions for the random walk {Zn} to be recurrent, i.e. for Zn to return infinitely often to every neighbourhood of the origin. The object of this paper is to obtain similar results for the corresponding process in continuous time.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1964
References
- 7
- Cited by