Research
Dissertations
MSc. in Probability and Statistics: Partial Least Squares for non-stationary time series: A forecasting Approach
Supervisors: Graciela González-Farías (CIMAT), Israel Martínez-Hernández (Lancaster University)
Description: This thesis presents a detailed study of the Partial Least Squares (PLS) method (Wold, 1966). An innovative generalisation of the PLS algorithm is proposed for the case in which both the response and explanatory variables are functional.
Publications
- 2025 Vasquez Martinez, R, Gonzalez Farias, G, Marquez Urbina, J U & Corona, F. Over the Stability of a
Non-Stationary Multivariate Time Series. doi:10.48550/arXiv.2506.22407. - 2023 Gonzalez Farias, G, Vasquez Martinez, R, Marquez Urbina, J U& Ramos Quiroga, R. A Gompertz
Mixture Approach for Modeling the Evolution of the COVID-19 Dynamics. Revista de Matemática: Teoría y Aplicaciones. doi:10.15517/rmta.v30i1.50927. - 2022 Vasquez Martinez, R, Villarreal Haro, K, Sanchez Leon, C A, Ortiz Arana, E I, Cardenas Treviño, J
A& Martin, Gonzalez, E M. Conditional Passing Times for Cramer-Lundberg Risk Model. Jovenes en la
Ciencia 16. Link
TALKS
- “Gompertz Mixture with covariables for modeling COVID-19 pandemic” at CIMPA‘s Seminar. November 2023.
