Research Interest

My research is focused on directional statistics, a field of statistics where data supports are different than the Euclidean. Specifically, I am interested in hypothesis testing problems with data lying on the hypersphere \[\mathbb{S}^q:=\{\mathbf{x}\in \mathbb{R}^{q+1}:\|\mathbf{x}\|= 1\},\quad q\geq 1.\] My PhD research, advised by Eduardo García-Portugués, aims to develop one- and \(k\)-samples tests of uniformity on the hypersphere.

Other of my interests include \(p\)-value combination methods and asymptotic theory.

Publications

  1. Fernández-de-Marcos, A., García-Portugués, E., and Verdebout, T. (2026). On \(m\)-points uniformity tests on hyperspheres. Bernoulli, to appear [pdf]

  2. Fernández-de-Marcos, A., and García-Portugués, E. (2024). A stereographic test of spherical uniformity. Stat. Probab. Lett. 215, 110218. [doi] [pdf]

  3. Fernández-de-Marcos, A., and García-Portugués, E. (2023). On new omnibus tests of uniformity on the hypersphere. Test 32(4), 1508–1529. [doi] [pdf]

  4. Fernández-de-Marcos, A., and García-Portugués, E. (2023). Data-driven stabilizations of goodness-of-fit tests. Comput. Stat. Data. Anal. 179, 107653. [doi] [pdf]

Preprints

  1. Fernández-de-Marcos, A., and García-Portugués, E. (2026). A class of nonparametric homogeneity tests on the circle. Submitted. [pdf]

Interdisciplinary

  1. Rodríguez-Sanz, A., Fernández-de-Marcos, A., Pérez-Castán, J., Gómez Comendador, F., Arnaldo Valdés, R., and París Loreiro, A. (2021). Queue behavioural patterns for passengers at airport terminals: A machine learning approach. J. Air Transp. Manag. 90, 101940. [doi]

  2. Ruiz, G., and Fernández-de-Marcos, A. (2018). Evidence for criticality in financial data. Eur. Phys. J. B 91(1), 1. [doi] [pdf]

Conferences

  1. Fernández-de-Marcos, A., and García-Portugués, E. A class of \(k\)-sample tests for circular data. XLII Congreso Nacional de Estadística, Investigación Operativa y Ciencia de Datos (SEIO 2026). Santiago de Compostela (Spain). 2-5 Sep 2026.

  2. Fernández-de-Marcos, A., and García-Portugués, E. Testing homogeneity across circular \(k\)-samples. 7th International Symposium on Nonparametric Statistics (ISNPS 2026). Thessaloniki (Greece). 22-28 Jun 2026.

  3. Fernández-de-Marcos, A., García-Portugués, E., and Verdebout, T. On \(m\)-points tests for uniformity on hyperspheres. IMS International Conference on Statistics and Data Science (ICSDS 2025). Thessaloniki (Greece). 15-18 Dec 2025.

  4. Fernández-de-Marcos, A., García-Portugués, E., and Verdebout, T. Testing uniformity on the sphere: from pairs to \(m\)-tuples. Advances in Directional Statistics 2025 (ADISTA 2025). Luxembourg (Luxembourg), 10-12 Sep 2025. Mardia Poster Award [pdf]

  5. Fernández-de-Marcos, A., García-Portugués, E., and Verdebout, T. Testing uniformity on the sphere: from pairs to \(m\)-tuples. 8th International Conference on Econometrics and Statistics (EcoSta 2025). Tokyo (Japan), 21-23 Aug 2025. Invited talk

  6. Fernández-de-Marcos, A., García-Portugués, E., and Verdebout, T. Testing uniformity on the sphere: from pairs to \(m\)-tuples. Workshop on Nonparametric Statistics 2025 (NP-SEIO25). Mieres (Spain), 16-18 Jul 2025.

  7. Fernández-de-Marcos, A., García-Portugués, E., and Verdebout, T. Testing uniformity on the sphere via m-points. XLI Congreso Nacional de Estadística e Investigación Operativa (SEIO25). Lleida (Spain), 10-13 Jun 2025.

  8. Fernández-de-Marcos, A., and García-Portugués, E. An m-points class of uniformity tests on the sphere. IMS International Conference on Statistics and Data Science (ICSDS24). Nice (France), 16-19 Dec 2024.

  9. Fernández-de-Marcos, A., and García-Portugués, E. On an m-points class of uniformity tests on the sphere. II Joint Workshop on Functional Data Analysis and Nonparametric Statistics (II JWFDANP). Miraflores de la Sierra (Spain), 10-13 Sep 2024.

  10. Fernández-de-Marcos, A., and García-Portugués, E. Tests of uniformity on the sphere with data-driven parameters. International Symposium on Nonparametric Statistics 2024 (ISNPS24). Braga (Portugal), 25-29 Jun 2024.

  11. Fernández-de-Marcos, A., and García-Portugués, E. Tests of uniformity on the sphere with data-driven parameters. XL Congreso Nacional de Estadística e Investigación Operativa (SEIO23). Elche (Spain), 7-10 Nov 2023.

  12. Fernández-de-Marcos, A., and García-Portugués, E. On new omnibus tests of uniformity on the hypersphere. 3rd Spanish Young Statisticians and Operational Researchers Meeting (SYSORM22). Elche (Spain), 21-23 Sep 2022.

  13. Fernández-de-Marcos, A., and García-Portugués, E. Data-driven stabilizations of goodness-of-fit tests. Advances in Directional Statistics (ADISTA 2022). Santiago de Compostela (Spain). 15-17 Jun 2022. Poster

Courses

  1. HiTec London 2024 Winter Course. Regularization, Bayesian nonparametric and Robust modelling of vollatility methods. HiTec PhD Grant