Weak convergence of sequences of semimartingales with applications to multitype branching processes
- 1 March 1986
- journal article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 18 (1) , 20-65
- https://doi.org/10.2307/1427238
Abstract
The paper is devoted to a systematic discussion of recently developed techniques for the study of weak convergence of sequences of stochastic processes. The methods described make essential use of the semimartingale structure of the processes. Sufficient conditions for tightness including the results of Rebolledo are derived. The techniques are applied to a special class of processes, namely theD-semimartingales. Applications to multitype branching processes are given.Keywords
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