Some remarks on a counter process
- 1 September 1976
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 13 (3) , 623-627
- https://doi.org/10.2307/3212486
Abstract
In 1968 Lampard determined some limit distributions for a counter process in which the input and output are independent Poisson processes. In 1974 Phatarfod dealt with the generalizations of Lampard's formulas for the case when the input and output form a bivariate Poisson process; however, his reasoning is erroneous. The object of this paper is to determine the correct limit distributions for the generalized process.Keywords
This publication has 2 references indexed in Scilit:
- Note on the reversible counters system of LampardJournal of Applied Probability, 1974
- A stochastic process whose successive intervals between events form a first order Markov chain — IJournal of Applied Probability, 1968