| Título: | Consistent Markov branching trees with discrete edge lengths |
| Autores: | Crane, Harry; Rutgers University |
| Fecha: | 2013-01-03 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Markov branching model; homogeneous fragmentation process; splitting rule; dislocation measure; sampling consistency; exchangeable random partition; weighted tree; random tree Primary 60J80, Secondary 60G09; 60C05 |
| Descripción: | We study consistent collections of random fragmentation trees with random integer-valued edge lengths. We prove several equivalent necessary and sufficient conditions under which Geometrically distributed edge lengths can be consistently assigned to a Markov branching tree. Among these conditions is a characterization by a unique probability measure, which plays a role similar to the dislocation measure for homogeneous fragmentation processes. We discuss this and other connections to previous work on Markov branching trees and homogeneous fragmentation processes. |
| Idioma: | Inglés |
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