Research

Research Interests

My main methodological and practical research areas are the spatial and spatio-temporal statistics. In particular the point processes focused on cluster detection and classification, geometric anisotropy and data mining through global and local characteristics. I am interested in the extension of classical spatial tools to new scenarios induced by the need to analyse data in linear networks, data on the sphere, data on parallel coordinates or data with attached functional attribute. Additionally, I am looking for new approaches to connect point processes and geostatistics. Non-parametric statistics, distribution theory, multivariate analysis and time series are interesting to me as well. Most of my work is motivated by applications in Ecology, Meteorology, Epidemiology, Seismology, Astronomy and Criminology. I am very interested in the computational statistics, particularly in “The R Project for Statistical Computing“, its packages and the development of computational methods for spatial and spatio-temporal point processes.

Research Projects

  1. Spatio-temporal point processes over new supports. Second-order characteristics over networks. Jorge Mateu (Director). Fundación Bancaja, 2016-2018.
  2. New families of spatio-temporal stochastic processes linking geostatistics and point patterns. Modelling, estimation and prediction over networks and trajectories. Jorge Mateu (Director).  Ministry of Education (MTM2016-78917-R), 2017-2019.

Scientific publications

Papers in Journals

  1. Rodríguez-Cortés, F. J. and Nagar, D. K. (2007). Percentage points for testing equality of mean vectors. Journal of the Nigerian Mathematical Society, 26:85–95.
  2. Mateu, J., Rodríguez-Cortés, F. J. and González, J. A. (2012). Discussion to the paper: Optimum design of experiments for statistical inference, by Gilmour, S. G. and Trinca, L. A. Journal of the Royal Statistical Society: Series C (Applied Statistics), 61 (Part 3):345–401.
  3. Mateu, J. and Rodríguez-Cortés, F. J. (2013). Discussion to the paper: Group sequential tests for delayed responses, by Hampson, L. V. and Jennison, C. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 75 (Part 1):3–54.
  4. Gupta, A. K., Nagar, D. K., Mateu, J. and Rodríguez-Cortés, F. J. (2013). Percentage points of a test statistic useful in MANOVA with structured covariance matrices. Journal of Applied Statistical Science, 20:29–41.
  5. Rodríguez-Cortés, F. J. and Mateu, J. (2014). Second-order smoothing of spatial point patterns with small sample sizes: A family of kernels. Stochastic Environmental Research and Risk Assessment, 29:295–308.
  6. Comas, C., Rodríguez-Cortés, F. J. and Mateu, J. (2015). Second-order analysis of anisotropic spatio-temporal point process data. Statistica Neerlandica, 69:49–66.
  7. González, J. A., Rodríguez-Cortés, F. J., Cronie, O. and Mateu, J. (2016). Spatio-temporal point process statistics: a review. Spatial Statiscts18:505-544.
  8. Stoyan, D., Rodríguez-Cortés, F. J., Mateu, J., and Gille, W. (2017). Mark variograms for spatio-temporal point processes. Spatial Statiscts20:125-147.
  9. Ferreira, G., Navarrete, J. P., Rodríguez-Cortés, F. J. and Mateu, J. (2017). Estimation and prediction of time-varying GARCH models through a state-space representation: a computational approach. Journal of Statistical Computation and Simulation, 87:2430-2449.
  10. Moradi, M. M., Rodríguez-Cortés, F. J. and Mateu, J. (2017). On kernel-based intensity estimation of spatial point patterns on linear networks. Journal of Computational and Graphical Statistics. DOI: 10.1080/10618600.2017.1360782.
  11. Siino, M., Rodríguez-Cortés, F. J., Mateu, J. and Adelfio, G. (2017). Testing for local structure in spatio-temporal point pattern data. Environmetrics. DOI: 10.1002/env.2463.

Submitted papers

  1. Ghorbani, M., Mateu, J. and Rodríguez-Cortés, F. J. (2017). Statistical properties of the spatio-temporal product density function estimator, with a special view to Poisson processes. Submitted.

In progress

  1. Ballani, F., Rodríguez-Cortés, F. J., Mateu, J. and Stoyan, D. (2017). Mark-based second-order characteristics in the statistics for spatio-temporal point processes.
  2. Rodríguez-Cortés, F. J., Chadœuf, J., Mateu. J. and Gabriel, E. (2017). Spatio-temporal prediction for intensity of partially observed point process data.
  3. Rodríguez-Cortés, F. J., Romano, E., González, J. and Mateu, J. (2017). Spatial clustering of LISA functions: a functional approach.
  4. Contreras-Rozo, D. L., Rodríguez-Cortés, F. J., Mateu, J. and Giraldo, R. (2017). Spatio-temporal point process modelling of urban-crime data in Bogota through conditional intensity techniques.

Technical Report

  1. Rodríguez-Cortés, F. J., Ghorbani, M., Mateu, J. and Stoyan, D. (2014). On the expected value and variance for an estimator of the spatio-temporal product density function. Department of Mathematical Sciences, Aalborg University. 19 p. (Research Report Series; No. R-2014-03).

Books

  1. Abstract Book of the XXXIV Congreso Nacional de Estadística e Investigación Operativa y de las VIII Jornadas de Estadística Pública (SEIO2013) (2013). Mateu, J. et al. (Eds.). Universitat Jaume I, e-Treballs d’Informatica i Tecnologia, 16. ISBN: 978-84-8021-957-0.

PhD Thesis

Rodríguez-Cortés, F. J. (2014). Modelling, Estimation and Applications of Second-Order Spatio-Temporal Characteristics of Point Processes. Ph.D. thesis, Department of Mathematics, University Jaume I. DOI: 10.6035/14019.2014.338537.

Conference Proceedings / Extended Abstracts

  1. Rodríguez-Cortés, F. J. and Nagar, D. K. (2007). Percentage points for a test of equality of mean vectors with intraclass correlation structure. XVII Symposium on Statistics: Statistics in Risk Assessment, University of Valle and National University of Colombia, Cali – Colombia. ISBN: 000-000-00000-0-0.
  2. Rodríguez-Cortés, F. J. and Nagar, D. K. (2009). Percentage points for a test statistic useful in MANOVA a with structured covariance matrices. XIX Symposium on Statistics: Official Statistics, National University of Colombia, Medellín – Colombia. ISBN: 000-000-00000-0-0.
  3. Rodríguez-Cortés, F. J., Mateu, J. and Lorenzo, G. (2012). Spatio-temporal Analogues to LISA Functions. In Proceedings of the Sixth International Workshop on Spatio-Temporal Modelling (METMA6); University of Minho, Guimarães – Portugal. Menezes, R. et al. (Eds.). ISBN: 978-989-97939-0-3.
  4. González, J. A., Mateu, J. and Rodriguez-Cortes, F. J. (2013). Spatio-temporal ANOVA for replicated point patterns using R. In The R User Conference 2013; University of Castilla-La Mancha, Albacete – Spain. ISBN: 000-000-00000-0-0.
  5. Rodriguez-Cortes, F. J., Mateu, J., Ghorbani, M. and Gozález, J. A. (2013). Point process spatio-temporal product density estimation in R. In The R User Conference 2013; University of Castilla-La Mancha, Albacete – Spain. ISBN: 000-000-00000-0-0.
  6. Mateu, J. and Rodríguez-Cortés, F. J. (2013). Local clustering in spatio-temporal point patterns. In Mathematics of Planet Earth: Proceedings of the 15th Annual Conference of the International Association for Mathematical Geosciences (Lecture Notes in Earth System Sciences). Complutense University of Madrid, Madrid – Spain. Pardo-Igúzquiza, E.; Guardiola-Albert, C.; Heredia, J.; Moreno-Merino, L.; Durán, J. J.; Vargas-Guzmán, J. A. (Eds.). Springer Berlin Heidelberg, (pp. 171-174), ISBN: 978-3-642-32407-9, ISSN: 2193-8571.
  7. Comas, C., Mateu, J., Capdevila, C. and Rodríguez-Cortés, F. J. (2013). Analysis of orientations on forest spatio-temporal patterns. XXXIV National Congress of Statistics and Operations Research and the VIII Conference of Public Statistics (SEIO-2013)University Jaume I, Castellón – Spain. Mateu, J. et al. (Eds.)., e-Treballs d’Informatica i Tecnologia, 16. ISBN: 978-84-8021-957-0.
  8. Rodríguez-Cortés, F. J., Mateu, J. and Ghorbani, M. (2013). Statistical properties of the spatio-temporal second-order product density function. XXXIV National Congress of Statisticss and Operations Research and the VIII Conference of Public Statistics (SEIO-2013)University Jaume I, Castellón – Spain. Mateu, J. et al. (Eds.), e-Treballs d’Informatica i Tecnologia, 16. ISBN: 978-84-8021-957-0.
  9. Rodríguez-Cortés, F. J., Ghorbani, M. and Mateu, J. (2014). Local Indicators of Spatio-Temporal Association functions – LISTA functions. Joint meeting METMA VII – GRASPA14; University of Torino, Torino – Italy. Cameletti, M. et al. (Eds.) ISSN 2037-7738.
  10. Rodríguez-Cortés, F. J., Mateu, J., Ghorbani, M. and Stoyan, D. (2014). Spatio-temporal modelling of earthquakes through second-order properties of point processes. In CLATSE 2014; La Serena University, La Serena – Chile. ISBN: 000-000-00000-0-0.
  11. Rodríguez-Cortés, F. J., A. K., Mishra, J. Mateu, and J. A. González (2015). A coherence measure of association between LISA functions in spatial point patterns. Proceedings of XXXV National Congress of SEIO IX Conference of Public StatisticsPublic University of Navarre, Pamplona – Spain, Ugarte, M.D., Militino, A.F., Santafe, G. (Eds.)., Department of Statistics and Operations Research. ISBN: 978-84-606-7906-6. Dep. Legal: NA 857-2015.
  12. González, J. A., J. Mateu, and F. J. Rodríguez-Cortés (2015). Second-order analysis of criminological events on a spatio-temporal linear network. Proceedings of XXXV National Congress of SEIO IX Conference of Public StatisticsPublic University of Navarre, Pamplona – Spain, Ugarte, M.D., Militino, A.F., Santafe, G. (Eds.)., Department of Statistics and Operations Research. ISBN: 978-84-606-7906-6. Dep. Legal: NA 857-2015.
  13. Rodríguez-Cortés, F. J., A. K., Mishra, J. Mateu, and J. A. González (2015). A coherence measure of association between LISA functions in spatial point patterns. In Spatial Statistics Conference 2015Université d’Avignon, Avignon – France. ISBN: 000-000-00000-0-0.
  14. González, J. A., J. Mateu, and F. J. Rodríguez-Cortés (2015). Prototypes of replicated spatio-temporal point patterns. In Spatial Statistics Conference 2015Université d’Avignon, Avignon – France. ISBN: 000-000-00000-0-0.
  15. Rodríguez-Cortés, F. J., A. K., Mishra, J. Mateu, and J. A. González (2015). Using R to build a coherence measure between LISA functions and its use for classification in spatial point patterns. In Use R Conference 2015. Aalborg University, Aalborg – Denmark. ISBN: 000-000-00000-0-0.
  16. González, J. A., J. Mateu, and Rodríguez-Cortés, F. J. (2015). Measuring dissimilarities between point patterns using R. In Use R Conference 2015. Aalborg University, Aalborg – Denmark. ISBN: 000-000-00000-0-0.
  17. Moradi, M. M., Rodríguez-Cortés, F. J., and Mateu, J. (2016). An adapted intensity estimator for linear networks with an application to modelling anti-social behaviour in an urban environment. In METMA VIII. University of Valencia, Valencia – Spain. ISBN: 978-84-608-8468-2.
  18. Stoyan, D., Rodríguez-Cortés, F. J., Mateu, J., and Gille, W. (2016). Spatial and temporal mark variograms: A new heuristic approach between point processes and geostatistics. In METMA VIII. University of Valencia, Valencia – Spain. ISBN: 978-84-608-8468-2.
  19. Rodríguez-Cortés, F. J., Moradi, M. M.  and Mateu, J. (2016). An adapted non-parametric intensity estimator for linear networks: Modelling anti-social behaviour in an urban environment. In TIES 2016. Heriot-Watt University; Edinburgh – Scotland. ISBN: 000-000-00000-0-0.
  20. Stoyan, D., Rodríguez-Cortés, F. J., Mateu, J., and Gille, W. (2016). Mark variograms for spatio-temporal point processes. Proceedings of XXXV National Congress of SEIO X Conference of Public Statistics. University of Castilla – La Mancha; Toledo – Spain. Amo Salas, M. López Fidalgo, J. Martín Martín, R. (Eds.). DOI: http://dx.doi.org/10.18239/jor_07.2016.
  21. Rodríguez-Cortés, F. J., Siino, M., Mateu, J. and Adelfio, G. (2016). An approach to hypothesis testing based on local indicators of spatio-temporal association. In CMStatistics 2016. University of Seville; Seville – Spain. Blanco-Fernandez, A. and Gonzalez-Rodriguez, G. (Eds.). ISBN: 978-9963-2227-1-1.
  22. Rodríguez-Cortés, F. J., Mateu, J., Ballanib F.  and  Stoyan, D. (2017). Mark variograms and other mark-based second-order characteristics in the statistics of spatio-temporal point processes. In Spatial Statistics Conference 2017. Lancaster Univeristy; Lancaster – UK. ISBN: 000-000-00000-0-0.
  23. Rodríguez-Cortés, F. J., Mateu, J., Ballanib F.  and  Stoyan, D. (2017). Mark second-order characteristics for spatio-temporal point processes. In 61st ISI World Statistics Congress (WSC). International Statistical Institute; Marrakech – Morocco. ISBN: 000-000-00000-0-0.
  24. Rodríguez-Cortés, F. J., Romano, E., González, J. and Mateu, J. (2017). Spatial Clustering of LISA Functions: a Functional Approach. In Book of Abstracts of the TIES-GRASPA 2017. University of Bergamo; Bergamo – Italy. Cameletti, M. and Finazzi F. (Eds.). Special issue of GRASPA Working Papers. ISSN: 2037-7738.

Contributions to PhD thesis

Author: Dr. Mohammad Ghorbani
Title: Aspects of Space-Time Point Processes Modelling and Inference
Chapter 7: On the mean and variance for an estimator of the spatio-temporal product density function
Institution: Department of Mathematical Sciences, Aalborg University, Aalborg, Denmark
Year: 2014

Author: Dr. Marianna Siino
Title: Models and methods for space and space-time interactions in complex point processes with applications on earthquakes
Chapter 4: Testing procedure for local spatio-temporal structure
Institution: Dipartimento di Scienze Economiche Aziendali e Statistiche, Università degli Studi di Palermo Palermo, Italy
Year: 2017

Author: Phd candidate Jonatan González
Title: Spatio-temporal analysis of variance for replicated point patterns
Chapter 2: Spatio-temporal point process statistics: a review
Institution: Department of Mathematical, Jaume I University, Castellón, Spain
Year: 2017

Author: Phd candidate Mohammad Mehdi Moradi
Title: Spatio-temporal point pattern analysis on linear networks
Chapter 2: On kernel-based intensity estimation of spatial point patterns on linear networks
Institution: Department of Mathematical, Jaume I University, Castellón, Spain
Year: 2018

Collaborators and Co-authors

  1. Arjun K. Gupta – Department of Mathematics & Statistics, Bowling Green State University, Ohio, USA
  2. David L. Contreras-Rozo – Department of Statistics, National University of Colombia, Bogotá, Colombia
  3. Daya Krishna Nagar – Institute of mathematics, University of Antioquia, Medellín, Colombia
  4. Dietrich Stoyan – TU Bergakademie Freiberg, Institute of Stochastics, Freiberg, Germany
  5. Edith Gabriel – Biostatistics and spatial processes Unit at INRA-Avignon, Université d’Avignon et des Pays de Vaucluse, Avignon, France
  6. Elvira Romano – Department of Mathematics and Physics, Universita della Campania “Luigi Vanvitelli”, Caserta, Italy
  7. Guillermo Ferreira – Department of Statistics, University of Concepción, Concepción, Chile
  8. Felix Ballani – TU Bergakademie Freiberg, Institute of Stochastics, Freiberg, Germany
  9. Giada Adelfio – Dipartimento di Scienze Economiche Aziendali e Statistiche, Università degli Studi di Palermo Palermo, Italy
  10. Jean Paul Navarrete – Department of Statistics and Quantitative Methods, University of Milano – Bicocca, Milano, Italy
  11. Jöel Chadœuf – Biostatistics and spatial processes Unit at INRA-Avignon, Avignon, France
  12. Jonatan A. González – Department of Mathematics, Jaume I University , Castellón, Spain
  13. Jorge Mateu – Department of Mathematics, Jaume I University J, Castellón, Spain
  14. Marianna Siino – Dipartimento di Scienze Economiche Aziendali e Statistiche, Università degli Studi di Palermo Palermo, Italy
  15. Ramón Giraldo Henao – Department of Statistics, National University of Colombia, Bogotá, Colombia
  16. Ottmar Cronie – Department of Mathematics and Mathematical Statistics, Umeå University, Umeå, Sweden
  17. Wilfried Gille – Department of Physics, Martin-Luther-University Halle-Wittenberg, Halle, Germany
Advertisements