Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1154069 | Statistics & Probability Letters | 2009 | 10 Pages |
Abstract
Bienaymé-Galton-Watson branching processes subordinated to a continuous time random index are considered. The branching processes are assumed to be critical with finite or infinite offspring variance. The indexing process is assumed to be a renewal one with finite or infinite mean of the interarrival times. Under these conditions we prove the asymptotic formulas for the first two moments and for the probability of non-extinction. We also obtain proper limiting distributions under suitable normalization.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Georgi K. Mitov, Kosto V. Mitov, Nikolay M. Yanev,