Alpha-stable branching and beta-frequency processes, beyond the IID assumption

Author:

González Casanova Adrián1,Nuñez Imanol2,Pérez José Luis2

Affiliation:

1. Instituto de Matemáticas, Universidad Nacional Autónoma de México, México and Department of Statistics, University of California, Berkeley gonzalez.casanova@berkeley.edu

2. Departamento de Probabilidad y Estadística, Centro de Investigación en Matemáticas, A.C., México

Publisher

Institute of Mathematical Statistics

Reference13 articles.

1. Patrick Billingsley, Probability and Measure, third ed., Wiley Series in Probability and Mathematical Statistics, Wiley, New York, 1995.

2. Matthias Birkner, Jochen Blath, Marcella Capaldo, Alison Etheridge, Martin Möhle, Jason Schweinsberg, and Anton Wakolbinger, Alpha-stable branching and beta-coalescents, Electronic Journal of Probability 10 (2005), 1–21.

3. María Emilia Caballero, Adrián González Casanova, and José-Luis Pérez, The relative frequency between two continuous-state branching processes with immigration and their genealogy, November 2020. arXiv:2010.00742

4. Adrián González Casanova, Verónica Miró Pina, and Juan Carlos Pardo, The Wright–Fisher model with efficiency, Theoretical Population Biology 132 (2020), 33–46. arXiv:1902.07359

5. Stewart N. Ethier and Thomas G. Kurtz, Markov processes: Characterization and convergence, Wiley Series in Probability and Statistics, Wiley Interscience, Hoboken, 2005.

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