Publications

1. Alain Boudou, Sylvie Viguier-Pla (2022) Principal components analysis and cyclostationarity. Journal of Multivariate Analysis. 189 104875.
   

   Classification

   60G57, 60G10, 60B15, 60H05

   Keywords

   Cyclostationarity, Orthogonal projectors, Principal Components Analysis, Random measures, Spectral measures, Stationary processes, Unitary operators

   Abstract

2. Alain Boudou, Sylvie Viguier-Pla (2020) Principal Components Analysis of a Cyclostationary Random Function. in Functional and High-Dimentional Statistics and Related Fields, Contributions to Statistics, Springer.
   

   Classification

   60G57, 60G10, 60B15, 60H05

   Keywords

   Cyclostationary random function, Orthogonal projector, Principal Components Analysis, Random measure, Spectral measure, Stationary process, Unitary operator

   Abstract

3. Oumar I. Traoré, Paul Cristini, Nathalie Favretto-Cristini, Laurent Pantera, Philippe Vieu, Sylvie Viguier-Pla (2019) Clustering acoustic emission signals by mixing two stages dimension reduction and nonparametric approaches. Comput. Stat. 34 631-652.
   

   Classification

   1.01490, 1.05090, 1.04200

   Keywords

   Functional clustering, Curve smoothing, Hierarchical clustering, Semi-metric, Functional Principal Components Analysis

   Abstract

4. Alain Boudou, Sylvie Viguier-Pla (2019) Commuter of operators in a Hilbert space. Journal of Multivariate Analysis. 170 244-262.
   

   Classification

   60G57, 60G10, 60B15, 60H05

   Keywords

   Continuous random functions, Orthogonal projectors, Random measures, Relation of partial order, Spectral measures, Stationary processes, Unitary operators

   Abstract

5. Alain Boudou, Sylvie Viguier-Pla (2018) Proximity between selfadjoint operators and between their associated spectral measures. European Journal of Pure and Applied Mathematics, 11 4 893-910
   

   Classification

   60G57, 60G10, 60B15, 60H05

   Keywords

   Random measures, Stationary processes, Convolution, Spectral measures

   Abstract

6. Oumar I. Traoré, Nathalie Favretto-Cristini, Paul Cristini, Laurent Pantera, Sylvie Viguier-Pla (2018) Impact of the Test Device on Acoustic Emission Signals From Nuclear Safety Experiments : Contribution of Wave Propagation Modeling to Signal Processing. IEEE Transactions on Nuclear Science, 65 9 2479-2489

   Classification

   34K08, 35P05, 76Q99

   Keywords

   acoustic emission, reactivity initiated accident, wave propagation, spectral element method

   Abstract

7. François-Xavier Jollois, Florence Muri, Elisabeth Ottenwaelter, Antoine Rolland, Sylvie Viguier-Pla (2017) Concours DATAVIZ : retour d'expérience en 1ère année de DUT STID. Statistique et enseignement, 8 (2), 113-124
   

   Classification

   97Q60, 97Q80

   Keywords

   challenge, dataviz, DUT, STID, statistics, business intelligence.

   Abstract

8. A. Boudou and S. Viguier-Pla (2017) Commutator of projectors and of unitary operators. in Functional Statistics and Related Topics, Contributions to statistics, Springer
   

   Classification

   62H05, 15B52

   Keywords

   Projector, Unitary operator, Stationary process, spectral measure

   Abstract

9. Oumar I. Traoré, Paul Cristini, Nathalie Favretto-Cristini, Laurent Pantera, Philippe Vieu, Sylvie Viguier-Pla (2017) Contribution of functional approach to the classification and the identification of acoustic emission source mechanisms. in Functional Statistics and Related Topics, Contributions to statistics, Springer
   

   Classification

   34K08, 35P05, 76Q99

   Keywords

   acoustic emission, moving variance, envelope of a signal, classification, nuclear environment

   Abstract

10. Oumar I. Traoré, Laurent Pantera, Nathalie Favretto-Cristini, Paul Cristini, Sylvie Viguier-Pla, Philippe Vieu (2017) Structure analysis and denoising using Singular Spectrum Analysis: application to acoustic emission signals from nuclear safety experiments. Measurement, 104, 78-88
    

    Classification

    34K08, 35P05, 76Q99

    Keywords

    acoustic emission, singular spectrum analysis, structural changes detection, signal denoising, nuclear environment

    Abstract

11. Oumar I. Traoré, Laurent Pantera, Nathalie Favretto-Cristini, Paul Cristini, Sylvie Viguier-Pla, Philippe Vieu (2017) Which Methods and Strategies to Cope with Noise Complexity for an Effective Interpretation of Acoustic Emission Signals in Noisy Nuclear Environment? Acta Acustica, 103, 903-916
    

    Classification

    34K08, 35P05, 76Q99

    Keywords

    acoustic emission, structural changes detection, signal denoising, nuclear environment

    Abstract

12. G. Fraisse and S. Viguier-Pla (2016) A weak characterization of real Wishart matrices by quadratic forms. C.R. Math. Acad. Sci. Paris 354 6 623-627
    

    Classification

    62H05, 15B52

    Keywords

    Continuous random functions, Wishart distribution, Haar measure, Cholesky factorization, quadratic form

    Abstract

13. A. Boudou and S. Viguier-Pla (2016) Gap between orthogonal projectors - Application to stationary processes. Journal of Multivariate Analysis. 146 282-300.
    

    Classification

    60G57, 60G10, 60B15, 60H05

    Keywords

    Continuous random functions, Orthogonal projectors, Random measures, Relation of partial order, Spectral measures, Stationary processes, Unitary operators

    Abstract

14. A. Boudou and S. Viguier-Pla (2014) Application of convergent sequences of projectors to stationary processes. Contributions in infinite-dimensional statistics and related topics 67-72. Sociatà editrice ESCULAPIO, IWFOS 2014
    

    Classification

    60G57, 60G10, 60B15, 60H05

    Keywords

    Orthogonal projectors, Random measures, Partial order, Stationary processes, Spectral measures, Unitary operators

    Abstract

15. A. Boudou and S. Viguier-Pla (2014) Structure of the random measure associated with an isotropic stationary process. Journal of Multivariate Analysis 123 111-128.
    

    Classification

    60G57, 60G10, 60B15, 60H05

    Keywords

    Random measures, Stationary processes, Tensor products, Isotropy, Spectral measures

    Abstract

16. G. Grégoire, François-Xavier Jollois, Jean-François Petiot, Abdellah Qannari, Serge Sabourin, Philippe Swertwaegher, Jean-Christophe Turlot, Vincent Vandewalle and S. Viguier-Pla (2011) Les logiciels et l'enseignement de la statistique dans les départements "STatistique et Informatique Décisionnelle". Revue de la SFDS. 2 , 5-24

    Mots-clés

    logiciels, enseignement de la statistique

    Full text

17. A. Boudou and S. Viguier-Pla (2010) Relation between unit operators proximity and their associated spectral measures. Stat. and Prob. Letters. 80 , 1724-1732
    

    Classification

    60G57, 60G10, 60B15, 60H05

    Keywords

    Random measures, Stationary processes, Fourier transform, Stochastic integrals, Spectral measures

    Abstract

18. F. Ferraty, Ph. Vieu and S. Viguier-Pla (2007) Factor-based comparison of groups of curves. Comput. Statist. Data Anal. 51 No 10, 4903-4910
    

    Classification

    62H25; 62H30

    Keywords

    Comparison test, Curves data, Factor subspace, Factorial analysis, Functional data analysis, Spectrometric data

    Abstract

19. A. Boudou, S. Viguier-Pla (2006) On proximity between PCA in the frequency domain and usual PCA. Statistics 40 447-464
    ISSN: 0233-1888

    Classification

    62H12; 62H25; 62M15; 62P12

    Keywords

    applications, principal components analysis, random measure, spectral analysis, stationarity, time series

    Abstract

20. A. Boudou, O. Caumont, S. Viguier-Pla (2004) Principal Components Analysis in the Frequency Domain. COMSTAT 2004 proceedings, Pragues
    ISSN:

    Classification

    Keywords

    principal components analysis, time series, stationarity, random measure, spectral analysis, applications

    Abstract

21. S. Viguier-Pla (2004) Factor-based Comparison of k populations. Statistics 38 1-16
    ISSN: 0233-1888

    Classification

    62E20, 62H15, 62H20, 62H25, 62P

    Keywords

    Canonical Analysis, Factorial Analysis, Factor Subspace, comparison test, asymptotic expansion, perturbation theory

    Abstract

22. S. Viguier-Pla (1996) Discrimination de terroirs par l'analyse sensorielle. Colloque Recherches en IUT, Clermont-Ferrand
    ISSN:
    

    Classification

    Keywords

    analyse sensorielle, analyse des données, matrice de covariance, test d'hypothèse

    Abstract

23. J. Dauxois, Y. Romain and S. Viguier-Pla (1994) Tensor Products and Statistics. Linear Algebra and its Applications - Special Issue on Linear Algebra and Statistics 210 59-88 ISSN: 0024-3795/94

    Classification

    Keywords

    tensor product, Kronecker product, covariance operators, covariance matrices, asymptotic theory, multivariate analysis

    Abstract

24. S. Viguier-Pla (1994) Factor-based comparison of several populations using the COMPAR software. Computational Statistics 9 135-163 ISSN: 0943-4062/94/2/135/163

    Classification

    62P

    Keywords

    covariance matrix, principal components, asymptotic tests of comparison, statistical software, eigenelements

    Abstract

25. J. Dauxois, Y. Romain, S. Viguier (1993) Comparison of two factor subspaces. Journal of Multivariate Analysis 44 160-178 ISSN: 0047-259X/93

    Classification

    62E20, 62H15, 62H20, 62H25

    Keywords

    canonical analysis, principal components analysis, ramdom operator, comparison test, asymptotic expansions, perturbation theory

    Abstract

26. Y. Romain, S. Viguier (1990) Factorial analyses-based comparison tests of several subpopulations. Proceedings of the 5th International Workshop on Statistical Modelling, Toulouse, July 1990 ISSN:

    Classification

    Keywords

    Abstract

27. Y. Romain, S. Viguier (1989) COMPCOV : un outil de comparaison de plusieurs matrices de covariance. Stat. et Anal. des Données 14 37-52 ISSN:

    Classification

    Keywords

    covariance matrices, k-sample case, simultaneous diagonalization, principal components analysis

    Abstract