Publications

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  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