Research

My research mainly considers aspects related to branching processes. My contributions focused on the statistical inference of the main parameters of such models and the study of the asymptotic properties of new branching models.

Publications

Book chapters

• 1. M. González, C. Minuesa, I. del Puerto (2020). Estimation on the maximum offspring in controlled branching processes. In D.V. Kozyrev (editor), The 5th International Conference on Stochastic Methods (ICSM-5). Proceedings of the International Scientific Conference, pp. 277-282. [Published version ]

  2. M. González, C. Gutiérrez, R. Martínez, C. Minuesa, I. del Puerto (2016). Bayesian analysis for controlled branching processes. In I. del Puerto, M. González, C. Gutiérrez, R. Martínez, C. Minuesa, M. Molina, M. Mota, A. Ramos (editors). Branching Processes and their Applications, volume 219 of Lecture Notes in Statistics-Proceedings, Springer-Verlag, pp. 185-205. [Published version]

  3. M. González, C. Minuesa, I. del Puerto (2013). Nonparametric Inference for Controlled Branching Processes with Deterministic Function. In Proceedings of the 59th World Statistics Congress of the International Statistical Institute, International Statistical Institute, pp. 5102-5107. [Published version]

Papers

• 1. P. Braunsteins, S. Hautphenne, C. Minuesa (2022). Consistent least squares estimation in population-size-dependent branching processes. arXiv:2211.10898.  DOI: https://doi.org/10.48550/arXiv.2211.10898 [Preprint version] 

  2. C. Gutiérrez, C. Minuesa (2022). Predator-prey density-dependent branching processes. Stochastic Models, 39(1), 265-292. DOI: 10.1080/15326349.2022.2032755.  [Published version]

  3. M. González, C. Minuesa, I. del Puerto (2022). Approximate Bayesian computation approach on the maximal offspring and parameters in controlled branching processes. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 116(4)-147. DOI: 10.1007/s13398-022-01290-w  [Published version] [Accepted version]   [Preprint version] 

  4. C. Gutiérrez, C. Minuesa (2021). A two-sex branching process with oscillations: application to predator-prey systems. arXiv preprint arXiv:2101.11658 [Preprint version] 

  5. P. Braunsteins, S. Hautphenne, C. Minuesa (2022). Parameter estimation in branching processes with almost sure extinction. Bernoulli, 28(1), 33-63. DOI:10.3150/21-BEJ1332  [Published version] [Preprint version] 

  6. G. Kersting, C. Minuesa (2022). Defective Galton-Watson processes in varying environment. Bernoulli, 28(2), 1408-1431. DOI: 10.3150/21-BEJ1393 [Published version] [Preprint version] 

  7. M. González, C. Minuesa, I. del Puerto, A. N. Vidyashankar (2021). Robust estimation in controlled branching processes: Bayesian estimators via disparities. Bayesian Analysis, 16(3), 1009-1037 . DOI:10.1214/20-BA1239  [Published version] [Preprint version] 

  8. C. Gutiérrez, C. Minuesa (2020). A predator-prey two-sex branching process. Mathematics, 8(9), 1408. DOI: 10.3390/math8091408. [Published version] [Accepted version]  [Preprint version] 

  9. M. González, R. Martínez, C. Minuesa, I. del Puerto (2020). Approximate Bayesian computation in controlled branching processes: the role of summary statistics. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 114(3), 1-29. DOI: 10.1007/s13398-020-00839-x. [Published version] [Accepted version] [Preprint version] 

  10. M. González, G. Kersting, C. Minuesa, I. del Puerto (2019). Branching processes in varying environment with generation dependent immigration. Stochastic Models 35(2), 148-166, DOI: 10.1080/15326349.2019.1575754. [Published version] [Accepted version] [Preprint version] 

  11. S. Sagitov, C. Minuesa (2017). Defective Galton-Watson processes. Stochastic Models, 33(3), pp. 451-472. DOI:10.1080/15326349.2017.1349614. [Published version] [Accepted version]  [Preprint version] 

  12. M. González, C. Minuesa, I. del Puerto (2017). Minimum disparity estimation in controlled branching processes. Electronic Journal of Statistics, 11(1), pp. 295-325. DOI: 10.1214/17-EJS1232. [Published version] [Accepted version]  [Preprint version] 

  13. M. González, C. Minuesa, I. del Puerto (2016). Maximum likelihood estimation and Expectation-Maximization algorithm for Controlled Branching Processes. Computational Statistics and Data Analysis, 93, pp. 209-227. DOI: 10.1016/j.csda.2015.01.015. [Published version] [Accepted version] [Preprint version] 

  14. M. González, C. Minuesa, I. del Puerto (2015). Weak Convergence Results for Controlled Branching Processes: Statistical Applications. Annual of Sofia University “St. Kliment Ohridski”, 102, pp. 247-256. [Published version]

  15. M. González, C. Minuesa, M. Mota, I. del Puerto, A. Ramos (2015). An inhomogeneous controlled branching process. Lithuanian Mathematical Journal, 55(1), pp. 61-71. DOI: 10.1007/s10986-015-9265-0. [Published version] [Accepted version] [Preprint version]

Working papers

• 1. Parameter estimation in predator-prey branching processes. Joint work with C. Gutiérrez.

Editorial activity

• 1. I. del Puerto, M. González, C. Gutiérrez, R. Martínez, C. Minuesa, M. Molina, M. Mota, A. Ramos (2016, editors). Branching Processes and their Applications, volume 219 of Lecture Notes in Statistics- Proceedings, I.S.B.N. 978-3-319-31639-0, Springer-Verlag. [Published version].

Research stays

• 1. 2024 - School of Mathematics and Statistics, University of Melbourne, in Melbourne (Australia), visitor for collaboration with Dr. Sophie Hautphenne. From 05/01/2024 to 10/02/2024.

  2. 2019 - Institute for Culture and Society, University of Navarre, in Pamplona (Spain), visiting postdoc under the supervision of Professor Jesús López Fidalgo. From 21/01/2019 to 22/01/2019.

  3. 2018 - School of Mathematics and Statistics, University of Melbourne, in Melbourne (Australia), visiting postdoc under the supervision of Dr. Sophie Hautphenne. From 15/09/2018 to 14/12/2018.

  4. 2017 - Institute of Mathematics, Goethe University, in Frankfurt am Main (Germany), visiting PhD student under the supervision of Professor Götz Kersting. From 30/09/2017 to 02/12/2017.

  5. 2016 - Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, in Gothenburg (Sweden), visiting PhD student under the supervision of Professor Serik Sagitov. From 18/09/2016 to 17/12/2016.

  6. 2015 - Department of Statistics, George Mason University, in Fairfax, VA (USA), visiting PhD student under the supervision of Professor Anand N. Vidyashankar. From 08/09/2015 to 07/12/2015.

  7. 2015 - Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, in Gothenburg (Sweden), visiting PhD student under the supervision of Professor Serik Sagitov. From 02/06/2015 to 05/07/2015.

Research projects

• • 2020-2024 - Modelos Estocásticos Poblacionales y sus Aplicaciones (Population Stochastic Models and their Applications), PID2019-108211GB-I00. Spanish Ministry of Science and Innovation, National Agency of Research. Main researchers: Miguel González Velasco and Inés María del Puerto García (University of Extremadura).

  • 2018-2019- Grupo de procesos de ramificación y sus aplicaciones (Group of branching processes and their applications), GR18103. Government of Extremadura, Vth Regional Plan of Research, progress and innovation. Main researcher: Manuel Molina Fernández (University of Extremadura).

  • 2017-2019 - Modelos estocásticos poblaciones: aspectos teóricos, aplicados y computacionales (Population Stochastic Models: theoretical, applied and computational aspects), IB16099. Government of Extremadura and FEDER. Main researcher: Inés María del Puerto García (University of Extremadura).

  • 2016-2020 - Procesos Estocásticos Poblacionales en Sistemas Biológicos, Genética y Epidemiología (Population Stochastic Processes in System Biology, Genetics and Epidemiology), MTM2015-70522-P. Spanish Ministry of Economics, National Program to the Promotion of Excellent Scientific and Technical Research. Main researchers: Miguel González Velasco and Manuel Mota Medina (University of Extremadura).

  • 2015-2017 - Grupo de procesos de ramificación y sus aplicaciones (Group of branching processes and their applications), GR15105. Government of Extremadura, Vth Regional Plan of Research, progress and innovation. Main researcher: Manuel Molina Fernández (University of Extremadura).

  • 2013-2015 - Procesos de Ramificación: Teoría y Aplicaciones (Branching processes: Theory and Applications), MTM2012-31235. Spanish Ministry of Economics, Vth National Plan of Scientific Research, Progress and Innovation. Main researcher: Miguel González Velasco (University of Extremadura).

Seminars (speaker in italics)

• 1. 2019 - C. Minuesa. Branching processes with applications in Biology. Department of Mathematics, Autonomous University of Madrid, Madrid (Spain).

  2. 2019 - C. Minuesa. Branching processes and their applications in Biology. Department of Mathematics, University of Navarra, Pamplona (Spain).

  3. 2018 - C. Minuesa. Minimum disparity estimation in controlled branching processes. School of Mathematics and Statistics, University of Melbourne, Melbourne (Australia).

  4. 2017 - C. Minuesa. Controlled branching processes in Biology: a controlled two-type branching process as a model for oligodendrocyte cell populations. Department of Mathematics, University of Extremadura, Badajoz (Spain).

  5. 2017 - C. Minuesa. Defective Galton-Watson processes. Department of Mathematics, University of Extremadura, Badajoz (Spain).

  6. 2016 - M. González, C. Gutiérrez, R. Martínez, C. Minuesa, M. Molina, M. Mota, I. del Puerto, A. Ramos. Branching Processes and their Applications. First Joint Meeting Évora-Extremadura on Mathematics, Badajoz (Spain).

  7. 2015 - C. Minuesa. Bayesian inference in controlled branching processes. Department of Statistics, George Mason University, Fairfax, Virginia (USA).

  8. 2015 - C. Minuesa. Robust estimation for controlled branching processes. Department of Mathematical Sciences, Chalmers University and University of Gothenburg, Gothenburg (Sweden).

  9. 2012 - C. Minuesa. Redes y filtros. Aplicación al teorema de Tychonoff (Nets and filters. Application to Tychonoff’s theorem). Department of Mathematics, University of Extremadura, Badajoz (Spain).

Organization of activities of research, progress and innovation

• 1. 2024 - Member of the Organising and the Scientific Committee Committee of the “The 4th Spanish Young Statisticians and Operational Researchers Meeting”, the Santiago de Compostela University, Saantiago de Compostela (Spain).

  2. 2024 - Member of the Organising Committee of the “The 6th International Workshop on Branching Processes and their Applications”, the University of Extremadura, Badajoz (Spain).

  3. 2023 - Co-chair and member of the Organising and Scientific Committee of the “The 3r International Workshop on Stochastic Processes and Their Applications. A virtual workshop”, the University of Granada, Granada (Spain).

  4. 2022 - Member of the Organising and the Scientific Committee Committee of the “The 3rd Spanish Young Statisticians and Operational Researchers Meeting”, the Miguel Hernández University, Elche (Spain).

  5. 2021 - Member of the Organising of the “The 2nd International Workshop on Stochastic Processes and Their Applications. A virtual workshop”, the University of Extremadura, Badajoz (Spain).

  6. 2021 - Member of the Scientific Committee of the “5º Congreso de Jóvenes Investigadores en Diseño de Experimentos y Bioestadística”, the University of Almería, Almería(Spain).

  7. 2021 - Member of the Organising Committee of the “The 5th International Workshop on Branching Processes and their Applications”, the University of Extremadura, Badajoz (Spain).

  8. 2018 - Member of the Organising Committee of “The 4th Workshop on Branching Processes and their Applications”, the University of Extremadura, Badajoz (Spain).

  9. 2015 - Member of the Organising Committee of “The 3rd Workshop on Branching Processes and their Applications”, the University of Extremadura, Badajoz (Spain).