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  • Conference proceedings
  • © 2020

Functional and High-Dimensional Statistics and Related Fields

  • Presents the latest advances in functional and high-dimensional statistics

  • Covers methodological and computational aspects as well as applications

  • Appeals to a wide audience, from theoretical and computationally oriented statisticians to experimental scientists

Part of the book series: Contributions to Statistics (CONTRIB.STAT.)

Conference series link(s): IWFOS: International Workshop on Functional and Operatorial Statistics

Conference proceedings info: IWFOS 2020.

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  • ISBN: 978-3-030-47756-1
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Softcover Book USD 199.99
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Table of contents (32 papers)

  1. Front Matter

    Pages i-xxii
  2. Analysis of Telecom Italia Mobile Phone Data by Space-time Regression with Differential Regularization

    • Eleonor Arnone, Mara S. Bernardi, Laura M. Sangalli, Piercesare Secchi
    Pages 5-10
  3. Some Numerical Test on the Convergence Rates of Regression with Differential Regularization

    • Eleonora Arnone, Alois Kneip, Fabio Nobile, Laura M. Sangalli
    Pages 11-18
  4. Learning with Signatures

    • Gérard Biau, Adeline Fermanian
    Pages 19-26
  5. About the Complexity Function in Small-ball Probability Factorization

    • Enea G. Bongiorno, Aldo Goia, Philippe Vieu
    Pages 27-33
  6. Principal Components Analysis of a Cyclostationary Random Function

    • Alain Boudou, Sylvie Viguier-Pla
    Pages 35-42
  7. Level Set and Density estimation on Manifolds

    • Alejandro Cholaquidis, Ricardo Fraiman, Leonardo Moreno
    Pages 43-51
  8. A New Method for Ordering Functional Data and its Application to Diagnostic Test

    • Graciela Estévez-Pérez, Philippe Vieu
    Pages 69-76
  9. A Functional Data Analysis Approach to the Estimation of Densities over Complex Regions

    • Federico Ferraccioli, Laura M. Sangalli, Eleonora Arnone, Livio Finos
    Pages 77-82
  10. A Conformal Approach for Distribution-free Prediction of Functional Data

    • Matteo Fontana, Simone Vantini, Massimo Tavoni, Alexander Gammerman
    Pages 83-90
  11. G-Lasso Network Analysis for Functional Data

    • Lara Fontanella, Sara Fontanella, Rosaria Ignaccolo, Luigi Ippoliti, Pasquale Valentini
    Pages 91-98
  12. Modelling Functional Data with High-dimensional Error Structure

    • Yuan Gao, Han Lin Shang, Yanrong Yang
    Pages 99-106
  13. Goodness-of-fit Tests for Functional Linear Models Based on Integrated Projections

    • Eduardo García-Portugués, Javier álvarez-Liébana, Gonzalo álvarez-Pérez, Wenceslao González-Manteiga
    Pages 107-114
  14. From High-dimensional to Functional Data: Stringing Via Manifold Learning

    • Harold A. Hernández-Roig, M. Carmen Aguilera-Morillo, Rosa E. Lillo
    Pages 115-122
  15. Functional Two-sample Tests Based on Empirical Characteristic Functionals

    • Zdeněk Hlávka, Daniel Hlubinka
    Pages 123-130
  16. Some Remarks on the Nelson–Siegel Model

    • Lajos Horváth
    Pages 131-136

Other Volumes

  1. Functional and High-Dimensional Statistics and Related Fields

About this book

This book presents the latest research on the statistical analysis of functional, high-dimensional and other complex data, addressing methodological and computational aspects, as well as real-world applications. It covers topics like classification, confidence bands, density estimation, depth, diagnostic tests, dimension reduction, estimation on manifolds, high- and infinite-dimensional statistics, inference on functional data, networks, operatorial statistics, prediction, regression, robustness, sequential learning, small-ball probability, smoothing, spatial data, testing, and topological object data analysis, and includes applications in automobile engineering, criminology, drawing recognition, economics, environmetrics, medicine, mobile phone data, spectrometrics and urban environments.

The book gathers selected, refereed contributions presented at the Fifth International Workshop on Functional and Operatorial Statistics (IWFOS) in Brno, Czech Republic. The workshop was originally to be held on June 24-26, 2020, but had to be postponed as a consequence of the COVID-19 pandemic. Initiated by the Working Group on Functional and Operatorial Statistics at the University of Toulouse in 2008, the IWFOS workshops provide a forum to discuss the latest trends and advances in functional statistics and related fields, and foster the exchange of ideas and international collaboration in the field.


Keywords

  • 62-07, 62G05, 62G09, 62G20, 62F12, 62F15, 62F40, 62H25
  • functional data analysis
  • high-dimensional statistics
  • operatorial statistics
  • applied functional data analysis
  • complex data
  • computational statistics
  • nonparametric statistics
  • spatial data
  • asymptotics
  • estimation
  • regression

Editors and Affiliations

  • Department of Mathematics, University of A Coruña, A Coruña, Spain

    Germán Aneiros

  • Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic

    Ivana Horová

  • Department of Probability and Mathematical Statistics, Charles University, Prague, Czech Republic

    Marie Hušková

  • Toulouse Mathematics Institute, Paul Sabatier University - Toulouse III, Toulouse, France

    Philippe Vieu

About the editors

Germán Aneiros is an Associate Professor of Statistics at the University of A Coruña, Spain. His research focuses on statistical inference for functional data, including sparse semi-parametric regression models, selection of impact points in a curve, bootstrap procedures and functional prediction of electricity demand and price. He is an Associate Editor of the journal Computational Statistics.

Ivana Horová is a Full Professor of Applied Mathematics at Masaryk University, Brno, Czech Republic. Her research focuses on nonparametric statistical methods, particularly multivariate kernel smoothing and its applications. She is a co-author of a monograph on kernel smoothing in MATLAB. She was a Guest Editor of the special issue Computational Environmetrics in the journal Environmetrics in 2009.

Marie Hušková is a Full Professor of Mathematical Statistics at Charles University, Prague, Czech Republic. She is the author of more than 130 scientific papers, mainly on asymptotic statistics, nonparametric and multivariate statistics and change-point problems. She is an Associate Editor of the journals Metrika, Statistics, and Sequential Analysis, and is a former Associate Editor of the Journal of Statistical Planning and Inference and REVSTAT. She is an elected member of ISI and a fellow of IMS. For several years, she was the chair of the European Regional Committee of the Bernoulli Society and a member of the Council of ISI.

Philippe Vieu is a Full professor at Paul Sabatier University, Toulouse, France.  He is well known for his numerous achievements in fields such as nonparametric statistics and functional statistics. He was an editor of previous IWFOS proceedings and several special issues on functional and nonparametric statistics. Currently, he is a Co-Editor of the journal Computational Statistics, and an Associate Editor of the Journal of Nonparametric Statistics, TEST, Statistics & Probability Letters and the Journal of Multivariate Analysis.


Bibliographic Information

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-47756-1
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 199.99
Price excludes VAT (USA)
Hardcover Book USD 199.99
Price excludes VAT (USA)