The genealogy of multi-type branching processes
Lead Research Organisation:
University of Warwick
Department Name: Statistics
Abstract
Context: Multilevel splitting, an algorithm used for rare events simulation, can be modelled as a discrete-time multi-type branching process.
Aims: This project explores the expected genealogy of terminal trajectories, with a focus on being able to numerically estimate probabilities related to coalescence. We research how ideas from statistical genetics can help tune the parameters of the multilevel splitting algorithm, such as the numer of levels or the offspring distribution.
Novelty: The results about genealogies of this type of branching processes are scarce and do not tend to consider numerical evaluation.
Aims: This project explores the expected genealogy of terminal trajectories, with a focus on being able to numerically estimate probabilities related to coalescence. We research how ideas from statistical genetics can help tune the parameters of the multilevel splitting algorithm, such as the numer of levels or the offspring distribution.
Novelty: The results about genealogies of this type of branching processes are scarce and do not tend to consider numerical evaluation.
Organisations
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/V520226/1 | 30/09/2020 | 31/10/2025 | |||
| 2733781 | Studentship | EP/V520226/1 | 02/10/2022 | 29/09/2026 | Julia Krasnowska |
| EP/W524645/1 | 30/09/2022 | 29/09/2028 | |||
| 2733781 | Studentship | EP/W524645/1 | 02/10/2022 | 29/09/2026 | Julia Krasnowska |