Abstract
We consider weak (repeated) records generated by Bienayme-Galton-Watson processes with stationary immigration component. Under certain moment assumptions on offspring and immigration distributions we obtain limit distributions for record values in the case of critical and supercritical processes. A local limit theorem for the index number of the process giving first record will also be proved.
| Original language | English |
|---|---|
| Pages (from-to) | 27-36 |
| Number of pages | 10 |
| Journal | Journal of Applied Statistical Science |
| Volume | 16 |
| Issue number | 1 |
| State | Published - 2008 |
ASJC Scopus subject areas
- Statistics and Probability