Artículos

1. Fierro, R., & Pizarro, S. (2026). Banach orbital conditions and uniformly condensing property on uniform spaces. Journal of Nonlinear and Convex Analysis, 27(8), 1947-1960.
2. Cotrina, J., & Fierro, R. (2023). Inverse maximum theorems and their relations with equilibrium and fixed point theorems. Journal of Optimization and Applications, 198(3), 1118-1129.
3. Fierro, R., & Pizarro, S. (2023). Fixed points of set-valued mappings satisfying a Banach orbital condition. CUBO, A Mathematical Journal, 25(1), 151-159.
4. Fierro, R. (2023). Cumulative damage for multi-type epidemics and an application to infectious diseases. Journal of Mathematical Biology, 86, 47.
5. Fierro, R. (2022). A condition on uniform spaces for the existence of maximal elements and fixed points. Journal of Fixed Point Theory and Applications, 24, 59.
6. Fierro, R. (2021). An intersection theorem for topological vector spaces and applications. Journal of Optimization and Applications, 191(1), 118-133.
7. Dey, D., Saha, M., & Fierro, R. (2021). Fixed points and topological properties of extended quasi-metric spaces. Fixed Point Theory, 22(2), 603-624.
8. Fierro, R., Leiva, R., & Maidana, J. P. (2018). Cumulative damage and times of occurrence for a multicomponent system: A discrete time approach. Journal of Multivariate Analysis, 168, 323-333.
9. Fierro, R. (2018). Noncompactness measure and fixed points for multi-valued functions on uniform spaces. Mediterranean Journal of Mathematics, 15(3), 95.
10. Dey, D., Saha, M., & Fierro, R. (2018). Well-posedness of fixed point problems. Journal of Fixed Point Theory and Applications, 20(2), 57.
11. Fierro, R. (2017). Maximality, fixed points and variational principles for mappings on quasi-uniform spaces. Filomat, 31(16), 5345-5355.
12. Fierro, R., & Leiva, V. (2017). A stochastic methodology for risk assessment of an earthquake when a long time has elapsed. Stochastic Environmental Research and Risk Assessment, 31(9), 2327-2336.
13. Fierro, R. (2017). Fixed point theorems for set-valued mappings and variational principles in uniform spaces with $w$-distances. Fixed Point Theory, 18(2), 555-564.
14. Aguilera, E., & Fierro, R. (2017). Weak Convergence of a Numerical Scheme for Stochastic Differential Equations. Probability and Mathematical Statistics, 37(1), 201-215.
15. Fierro, R. (2016). A noncompactness measure for tvs-metric cone spaces and some applications. The Journal of Nonlinear Science and Applications, 9(5), 2680-2687.
16. Fierro, R. (2015). Fixed Point Theorems for Set-Valued Mappings on TVS-Cone Metric Spaces. Fixed Point Theory and Applications, 2015, 221.
17. Fierro, R. (2015). Functional limit theorems for the multivariate Hawkes Process with different exciting functions. ALEA-Latin American Journal of Probability and Mathematical Statistics, 12(1), 477-489.
18. Fierro, R., Leiva, V., & Balakrishnan, N. (2015). Statistical inference on a stochastic epidemic model. Communications in Statistics-Simulation and Computation, 44(9), 2297-2314.
19. Fierro, R., Leiva, V., & Møller, J. (2015). The Hawkes process with different exciting functions and its asymptotic behavior. Journal of Applied Probability, 52(1), 37-54.
20. Fierro, R. (2014). Approximation of some discrete-time stochastic processes by differential equations. Hacettepe Journal of Mathematics and Statistics, 43(6), 1035-1046.
21. Fierro, R., Leiva, V., Ruggeri, F., & Sanhueza, A. (2013). On a Birnbaum-Saunders distribution arising from a non-homogeneous Poisson process. Statistics and Probability Letters, 83(4), 1233-1239.
22. Fierro, R. (2012). Asymptotic Distribution of Martingale Estimators for a Class of Epidemic Models. Statistical Methods and Applications, 21(2), 169-191.
23. Fierro, R., & Tapia, A. (2011). Testing Homogeneity for Poisson Processes. Revista Colombiana de Estadística, 34(3), 421-432.
24. Fierro, R., Martínez, C., & Orellana, E. (2011). Weak Conditions for Existence of Random Fixed Points. Fixed Point Theory, 12(1), 83-90.
25. Fierro, R., Martínez, C., & Morales, C. (2011). Random coincidence theorems and applications. Journal of Mathematical Analysis and Applications, 378(1), 213-219.
26. Fierro, R. (2010). A Class of Stochastic Epidemic Models and its Deterministic Counterpart. Journal of the Korean Statistical Society, 39(4), 397-407.
27. Fierro, R., Martínez, C., & Morales, C. (2009). Fixed Point Theorems for Random Lower Semi-Continuous Mappings. Fixed Point Theory and Applications, 2009, 584178.
28. Guiraud, P., Leiva, V., & Fierro, R. (2009). A Non-central Version of the Birnbaum Saunders Distribution for Reliability Analysis. IEEE Transactions on Reliability, 58(1), 152-160.
29. Fierro, R., & Torres, S. (2008). A Stochastic Scheme of Approximation for Ordinary Differential Equations. Electronic Communications in Probability, 13, 1-9.
30. Fierro, R. (2008). Test of homogeneity for some population models based on counting processes. Communications in Statistics-Theory and Methods, 37(1), 46-54.
31. Fierro, R., Martínez, C., & Morales, C. (2006). Carathéodory selections for multivalued mappings. Nonlinear Analysis: Theory, Methods & Applications, 64(6), 1229-1235.
32. Fierro, R., Martínez, C., & Morales, C. (2004). The Aftermath of the Intermediate Value Theorem. Fixed Point Theory and Applications, 3, 243-250.
33. Fierro, R. (2003). A test of goodness of fit testing for stochastic intensities associated to counting processes. Statistics and Probability Letters, 64(2), 287-292.
34. Fierro, R. (2002). Asymptotic Normality of Estimates for a Class of Stochastic Epidemic Models. Brazilian Journal of Probability and Statistics, 16(2), 187-203.
35. Fierro, R., & Torres, S. (2001). The Euler Scheme for Hilbert Space Valued Stochastic Differential Equations. Statistics and Probability Letters, 51(3), 207-213.
36. Fierro, R., San Martín, J., & Martínez, S. (1999). Limiting conditional and conditional invariant distributions for the Poisson process with negative drift. Journal of Applied Probability, 36(4), 1194-1209.
37. Fierro, R. (1996). Large Sample Analysis for a Stochastic Epidemic Model and its Parameter Estimators. Journal of Mathematical Biology, 34(8), 843-856.
38. Fierro, R. (1994). A Large Deviation Principle for an Epidemic model. Brazilian Journal of Probability and Statistics, 1(1), 1-7.
39. Fierro, R. (1993). Random Fluctuations for Independent Markovian Systems. Notas de la Sociedad de Matemáticas de Chile, 12, 7-13.
40. Fierro, R., & Figueroa, G. (1993). Asymptotic Analysis for the Number of Subgraphs of a Given Size in Temporal Random Graphs. Proyecciones, 12(1), 1-11.
41. Fierro, R. (1993). On the weakening of a Kushner-Clark condition for sequential compactness. Revista de Matemáticas Aplicadas, 14, 1-8.
42. Fierro, R. (1990). Domains of Attraction for Semimartingales taking values in the Tempered Distributions Space. Journal of Theoretical Probability, 3(1), 31-49.
43. Fierro, R. (1990). Existence and uniqueness of a martingale problem in $\mathrm{D}(\mathbb{R}_+, \mathcal{S}\mathcal{}'(\mathbb{R}^d))$. Statistics and Probability Letters, 9(4), 357-359.
44. Fierro, R. (1988). Central limit theorems for local martingales taking values in the space of tempered distributions. Brazilian Journal of Probability and Statistics, 2(2), 81-90.

Capítulos de Libro

1. Fierro, R. (2024). A multivariate cumulative damage model and some applications. In A. S. R. Srinivasa Rao, Z. Bai, & C. R. Rao (Eds.), Handbook of Statistics (pp. 457-497). Elsevier. https://doi.org/10.1016/bs.host.2024.07.007
2. Fierro, R. (2021). Topological properties of tvs-metric cone spaces and applications to fixed point theory. In R. Sharma (Ed.), An In-depth Guide to Fixed Point Theorems (pp. 1-25). Nova.
3. Fierro, R. (2012). Discrete-Time Stochastic Epidemic Models and Their Statistical Inference. In I. G. Ivanov (Ed.), Stochastic Modeling and Control (pp. 253-278). InTech. https://doi.org/10.5772/39271
4. Fierro, R. (1994). Central Limit Theorem and Large Deviation Principle for a Simple Stochastic Epidemic Model. In R. Gutiérrez & M. J. Valderrama (Eds.), Selected Topics on Stochastic Modelling (pp. 88-106). World Scientific Publ. Co.

1. (2020-2023) Co-investigador Proyecto FONDECYT No. 1200525: Statistical and mathematical aspects of multivariate cumulative damage models, and their application to cancer, earthquakes, economy, neuroscience and pollution in Chile.
2. (2016-2019) Co-investigador Proyecto FONDECYT No. 1160868: On new characterizations of cumulative damage models and their applications to contamination, mining and natural catastrophes.
3. (2012-2015) Co-investigador Proyecto FONDECYT No. 1120879: Multivariate and matrix-variate Birnbaum-Saunders distributions: characterization, modeling and diagnostics.
4. (2005-2006) Co-investigador Proyecto FONDECYT No. 1050843: Numerical Analysis for Reflected Backward Stochastic Differential Equations with Applications to Finance and Population Dynamics.
5. (2003-2006) Co-investigador Proyecto FONDECYT No. 1980431: Random Fixed Point Theory and Applications to Iterated Systems.
6. (2000-2003) Investigador responsable Proyecto FONDECYT No. 1000270: Inferencia Estadística en Dinámica de Poblaciones.
7. (1993-1996) Investigador responsable Proyecto FONDECYT No. 1930715: Modelación Estocástica de Fenómenos Naturales Mediante Procesos Puntuales.
8. (1990-1993) Investigador responsable Proyecto FONDECYT No. 1900595: Convergencia en Distribución de Procesos Estocásticos en Dimensión Infinita.
9. (1988-1991) Co-investigador Proyecto FONDECYT No. 1880239: Análisis Estocástico y Sistemas Dinámicos.

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