Polito, Federico
2018-12-03
<p>We present a generalization of the Yule model for macroevolution in which, for the appearance of genera, we consider point processes with the order statistics property, while for the growth of species we use nonlinear time-fractional pure birth processes or a critical birth-death process. Further, in specific cases we derive the explicit form of the distribution<br>
of the number of species of a genus chosen uniformly at random for each time. Besides, we introduce a time-changed mixed Poisson process with the same marginal distribution as that of the time-fractional Poisson process.</p>
Journal reference: Modern Stochastics: Theory and Applications 6 (1) (2019) 41-55
https://doi.org/10.15559/18-VMSTA125
oai:zenodo.org:4434439
eng
Zenodo
info:eu-repo/semantics/openAccess
Creative Commons Attribution 4.0 International
https://creativecommons.org/licenses/by/4.0/legalcode
Modern Stochastics: Theory and Applications, 6(1), 41-55, (2018-12-03)
Yule model, mixed Poisson processes, time-fractional Poisson process, order statistics property
Studies on generalized Yule models
info:eu-repo/semantics/article