| Title | WEAK CONVERGENCE RESULTS FOR CONTROLLED BRANCHING PROCESSES: STATISTICAL APPLICATIONS |
| Publication Type | Journal Article |
| Year of Publication | 2015 |
| Authors | Miguel G, Minuesa C, Del Puerto I |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 102 |
| Pagination | 247-256 |
| ISSN | 0205-0808 |
| Abstract | In this communication it is proved a fluctuation limit theorem for controlled branching processes. Under the conditions that the offspring and control means tend to be $\textit{critical}$, the obtained limit is a diffusion process. This result is applied to conclude that the standard parametric bootstrap weighted conditional least squares estimate for the offspring mean is asymptotically invalid in the critical case. |
| 2000 MSC | 60J80, 62M05 |
| Attachment | Size |
|---|---|
 102-247-256.pdf | 159.3 KB |