Monograph


Modern Directional Statistics, Chapman & Hall, CRC press, 2017 (coauthor: C.Ley).

Edited book


Applied Directional Statistics: Modern Methods and Case Studies, Chapman & Hall, CRC press, 2019 (co-editor: C.Ley).



Preprints
  1. On testing the equality of latent roots of scatter matrices under ellipticity (coauthor: G. Bernard).
  2. Portmanteau tests for semi parametric nonlinear conditionally heteroscedastic time series models (coauthors: Ch. Francq and J.-M. Zakoian).
  3. Nonparametric measure-transportation-based methods for directional data (coauthors: M. Hallin and H. Liu).
  4. Power enhancement for dimension detection of Gaussian signals (coauthor: G. Bernard).
  5. On a class of Sobolev tests of isotropy, their detection thresholds, and asymptotic powers (E. Garcia-Portugues and D. Paindaveine).


Published or in press


  1. Nonparametric tests of independence for circular data based on trigonometric moments, Statistica Sinica, to appear (coauthors: E. Garcia-Portugués, P. Lafaye de Micheaux and S. Meintanis).
  2. Preliminary Multiple-Test Estimation, with Applications to k-sample Covariance Estimation, Journal of the American Statistical Association, to appear (coauthors: D. Paindaveine and J. Rasoafaraniaina).
  3. Asymptotic efficiency of some nonparametric tests for location on hyperspheres, Statistics and Probability Letters, to appear (coauthors: S. Dabo-Niang and B. Thiam).
  4. On the asymptotic behavior of the leading eigenvector of Tyler's shape estimator under weak identifiability, In: Nordhausen, K., Yi, M. (eds), Robust and Multivariate Statistical Methods. Festschrift in honor of David Tyler. Springer, to appear (coauthor: D. Paindaveine).
  5. On some multivariate sign tests for scatter matrix eigenvalues, Econometrics and Statistics, to appear (coauthor: G. Bernard).
  6. Testing uniformity on high-dimensional spheres: the non-null behaviour of the Bingham test, Annales de l'Institut Henri Poincaré (P&S), Vol. 58, 567-602 (2022) (coauthors: C. Cutting and D. Paindaveine).
  7. On weighted sign tests for rotational symmetry on hyperspheres, In: SenGupta, A., Arnold, B.C (eds) Directional Statistics for Innovative Applications. Forum for Interdisciplinary Mathematics. Springer, Singapore (2022).
  8. Directional Statistics: Theory, Wiley Statsref online (2021).
  9. Testing for positive expectation dependence with application to model comparison, Insurance: Mathematics and Economics, Vol. 101, 163-172 (2021) (coauthors: M. Denuit and J. Trufin).
  10. Preliminary test estimation in ULAN models, Scandinavian Journal of Statistics, Vol. 48, 689-707 (2021) (coauthors: D. Paindaveine and J. Rasoafaraniaina).
  11. Optimal tests for circular reflective symmetry about an unknown central direction, Statistical Papers, Vol. 62, 1651-1674 (2021) (coauthors: J.Ameijeiras-Alonso, C.Ley, A.Pewsey).
  12. On optimal tests for rotational symmetry against new classes of hyperspherical distributions, Journal of the American Statistical Association, Vol. 115, 1873-1887 (2020) (coauthors: E.Garcia-Portugués and D.Paindaveine).
  13. Inference for spherical location under high concentration, Annals of Statistics, Vol.48, 2982-2998 (2020) (coauthor: D. Paindaveine).
  14. Sign tests for weak principal directions, Bernoulli, Vol.26, 2987-3016 (2020) (coauthors: D.Paindaveine and J.Remy).
  15. Detecting the direction of a signal on high-dimensional spheres: non-null and Le Cam optimality results, Probability Theory and Related Fields, Vol. 176, 1165-1216 (2020) (coauthor: D.Paindaveine).
  16. On new Sobolev tests of uniformity on the circle with extension to the sphere, Bernoulli, Vol. 26, 2226-2252 (2020) (coauthors: S.R. Jammalamadaka and S. Meintanis).
  17. On the power of axial tests of uniformity, Electronic Journal of Statistics, Vol.14, 2123-2154 (2020) (coauthors: C.Cutting and D.Paindaveine).
  18. Testing for principal component directions under weak identifiability, Annals of Statistics, Vol. 48, 324-345 (2020) (coauthors: D.Paindaveine and J.Remy).
  19. Le Cam maximin tests for symmetry of circular data based on the characteristic function, Statistica Sinica, Vol.29, 1301-1321 (2019) (coauthor: S.Meintanis).
  20. On the efficiency of some rank-based test for the homogeneity of concentrations, Journal of Statistical Planning and Inference, Vol.191, 101–109 (2017).
  21. Testing uniformity on high-dimensional spheres against contiguous rotationally symmetric alternatives, Annals of Statistics, Vol. 45, 1024–1058 (2017) (coauthors: C.Cutting and D.Paindaveine).
  22. Skew-rotationally-symmetric distributions on the unit sphere and related efficient inferential procedures, Journal of Multivariate Analysis, Vol. 159, 67–81 (2017) (coauthor: C.Ley).
  23. Inference on the mode of weak directional signals: a Le Cam perspective on hypothesis testing near singularities, Annals of Statistics, Vol. 45, 800–832 (2017) (coauthor: D.Paindaveine).
  24. On the estimation of the density of a directional data stream, Scandinavian Journal of Statistics, Vol. 44, 249–267 (2017) (coauthors: A.Amiri and B.Thiam).
  25. Preliminary test estimation for multi-sample principal components, Econometrics and Statistics, Vol. 2, 106–116 (2017) (coauthors: D. Paindaveine and J. Rasoafaraniaina).
  26. Efficient ANOVA for directional data, Annals of the Institute of Statistical Mathematics, Vol. 69, 39–62 (2017) (coauthors: C.Ley and Y.Swan).
  27. Tests of concentration for low-dimensional and high-dimensional directional data, In
    S. Ejaz Ahmed Ed., Big and Complex Data Analysis: Statistical Methodologies and Applications, Springer,Cham Heidelberg New York,
    209-227 (2017)(coauthors: C.Cutting and D.Paindaveine).
  28. On high-dimensional sign tests, Bernoulli, Vol. 22, 1745-1769 (2016) (coauthor: D.Paindaveine).
  29. On some validity-robust tests for the homogeneity of concentrations, Journal of Nonparametric Statistics, Vol. 27, 372-383 (2015).
  30. High-dimensional tests for spherical location and spiked covariance, Journal of Multivariate Analysis, Vol. 139, 79-91 (2015) (coauthors: C.Ley and D. Paindaveine).
  31. Optimal rank-based tests for the location parameter of a rotationally symmetric distribution on the hypersphere. Mathematical Statistics and Limit Theorems – Festschrift in Honour of Paul Deheuvels, Springer, 249-270 (2015) (coauthor: D.Paindaveine).
  32. Local powers of optimal one- and multi-sample tests for the concentration of Fisher- von Mises-Langevin distributions. International Statistical Review, Vol. 82, 440–456 (2014) (coauthor: C.Ley).
  33. Efficient R-estimation of principal and common principal components. Journal of the American Statistical Association, Vol. 109, 1071-1083 (2014) (coauthors: M. Hallin and D.Paindaveine).
  34. Simple, asymptotically distribution-free, optimal tests for reflective symmetry about a known circular median. Statistica Sinica, Vol. 24, 1319-1340 (2014) (coauthor: C.Ley).
  35. A new concept of quantiles for directional data and the angular Mahalanobis depth. Electronic Journal of Statistics, Vol. 8, 795-816 (2014) (coauthors: C.Ley and C.Sabbah).
  36. On Hodges and Lehmann’s ”6/pi result”. Contemporary Developments in Statistical Theory, Springer, 137-153 (2014) (coauthors: M.Hallin and Y.Swan).
  37. Optimal rank-based tests for Common Principal Components, Bernoulli, Vol. 19, 2524-2556 (2013) (coauthors: M. Hallin and D. Paindaveine).
  38. Optimal R-estimation of a spherical location. Statistica Sinica, Vol. 23(1), 305-333 (2013) (coauthors: C. Ley, Y. Swan and B.Thiam).
  39. R-estimation in linear models with stable errors. Journal of Econometrics, Vol. 172(2), 195-204 (2013) (coauthors: M.Hallin, Y.Swan and D.Veredas).
  40. Common principal components. Encyclopedia of Environmetrics Second Edition, A.-H. El-Shaarawi and W. Piegorsch (eds). John Wiley & Sons Ltd, Chichester, UK, pp. 447-449 (2012).
  41. A contribution to asymptotic inference on eigenvectors and eigenvalues of covariance and scatter matrices. Mémoire de l’Académie Royale des Sciences, des Lettres et des Beaux-Arts (2012).
  42. Rank-based tests for elliptical graphical modeling. Journal de la Société Française de Statistique, Vol. 153, 82-100 (2012) (coauthor: D.Paindaveine).
  43. Rank-based testing in linear models with stable errors. Journal of Nonparametric Statistics, Vol. 23, 305-320 (2011) (coauthors: M.Hallin, Y.Swan and D.Veredas).
  44. Optimal rank-based tests for Principal Component Analysis. Annals of Statistics, Vol. 38, 3245-3299 (2010) (coauthors: M. Hallin and D. Paindaveine).
  45. Testing for common principal components under heterokurticity. Journal of Nonparametric Statistics, Vol. 22, 879-895 (2010) (coauthors: M. Hallin and D. Paindaveine).
  46. Pseudo-Gaussian inference in heterokurtic elliptical Common Principal Components model. Annales de l’ISUP, LII, 9-24 (2008) (coauthors: M. Hallin and D. Paindaveine).