Functional And Operatorial Statistics

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Functional and Operatorial Statistics

Sophie Dabo-Niang,Frédéric Ferraty
Functional and Operatorial Statistics Book PDF

Author : Sophie Dabo-Niang,Frédéric Ferraty
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 42,6 Mb
Release : 2008-05-21
Category : Mathematics
ISBN : 9783790820621

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Functional and Operatorial Statistics by Sophie Dabo-Niang,Frédéric Ferraty Pdf

An increasing number of statistical problems and methods involve infinite-dimensional aspects. This is due to the progress of technologies which allow us to store more and more information while modern instruments are able to collect data much more effectively due to their increasingly sophisticated design. This evolution directly concerns statisticians, who have to propose new methodologies while taking into account such high-dimensional data (e.g. continuous processes, functional data, etc.). The numerous applications (micro-arrays, paleo- ecological data, radar waveforms, spectrometric curves, speech recognition, continuous time series, 3-D images, etc.) in various fields (biology, econometrics, environmetrics, the food industry, medical sciences, paper industry, etc.) make researching this statistical topic very worthwhile. This book gathers important contributions on the functional and operatorial statistics fields.

Functional Statistics and Related Fields

Germán Aneiros,Enea G. Bongiorno,Ricardo Cao,Philippe Vieu
Functional Statistics and Related Fields Book PDF

Author : Germán Aneiros,Enea G. Bongiorno,Ricardo Cao,Philippe Vieu
Publisher : Springer
Page : 288 pages
File Size : 40,7 Mb
Release : 2017-04-25
Category : Mathematics
ISBN : 9783319558462

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Functional Statistics and Related Fields by Germán Aneiros,Enea G. Bongiorno,Ricardo Cao,Philippe Vieu Pdf

This volume collects latest methodological and applied contributions on functional, high-dimensional and other complex data, related statistical models and tools as well as on operator-based statistics. It contains selected and refereed contributions presented at the Fourth International Workshop on Functional and Operatorial Statistics (IWFOS 2017) held in A Coruña, Spain, from 15 to 17 June 2017. The series of IWFOS workshops was initiated by the Working Group on Functional and Operatorial Statistics at the University of Toulouse in 2008. Since then, many of the major advances in functional statistics and related fields have been periodically presented and discussed at the IWFOS workshops.

Functional and Operatorial Statistics

Sophie Dabo-Niang,Frédéric Ferraty
Functional and Operatorial Statistics Book PDF

Author : Sophie Dabo-Niang,Frédéric Ferraty
Publisher : Physica
Page : 304 pages
File Size : 52,5 Mb
Release : 2009-08-29
Category : Mathematics
ISBN : 379082304X

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Functional and Operatorial Statistics by Sophie Dabo-Niang,Frédéric Ferraty Pdf

An increasing number of statistical problems and methods involve infinite-dimensional aspects. This is due to the progress of technologies which allow us to store more and more information while modern instruments are able to collect data much more effectively due to their increasingly sophisticated design. This evolution directly concerns statisticians, who have to propose new methodologies while taking into account such high-dimensional data (e.g. continuous processes, functional data, etc.). The numerous applications (micro-arrays, paleo- ecological data, radar waveforms, spectrometric curves, speech recognition, continuous time series, 3-D images, etc.) in various fields (biology, econometrics, environmetrics, the food industry, medical sciences, paper industry, etc.) make researching this statistical topic very worthwhile. This book gathers important contributions on the functional and operatorial statistics fields.

Functional and High-Dimensional Statistics and Related Fields

Germán Aneiros,Ivana Horová,Marie Hušková,Philippe Vieu
Functional and High Dimensional Statistics and Related Fields Book PDF

Author : Germán Aneiros,Ivana Horová,Marie Hušková,Philippe Vieu
Publisher : Springer Nature
Page : 254 pages
File Size : 43,6 Mb
Release : 2020-06-19
Category : Mathematics
ISBN : 9783030477561

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Functional and High-Dimensional Statistics and Related Fields by Germán Aneiros,Ivana Horová,Marie Hušková,Philippe Vieu Pdf

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.

Recent Advances in Functional Data Analysis and Related Topics

Frédéric Ferraty
Recent Advances in Functional Data Analysis and Related Topics Book PDF

Author : Frédéric Ferraty
Publisher : Springer Science & Business Media
Page : 322 pages
File Size : 44,5 Mb
Release : 2011-06-15
Category : Mathematics
ISBN : 9783790827361

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Recent Advances in Functional Data Analysis and Related Topics by Frédéric Ferraty Pdf

New technologies allow us to handle increasingly large datasets, while monitoring devices are becoming ever more sophisticated. This high-tech progress produces statistical units sampled over finer and finer grids. As the measurement points become closer, the data can be considered as observations varying over a continuum. This intrinsic continuous data (called functional data) can be found in various fields of science, including biomechanics, chemometrics, econometrics, environmetrics, geophysics, medicine, etc. The failure of standard multivariate statistics to analyze such functional data has led the statistical community to develop appropriate statistical methodologies, called Functional Data Analysis (FDA). Today, FDA is certainly one of the most motivating and popular statistical topics due to its impact on crucial societal issues (health, environment, etc). This is why the FDA statistical community is rapidly growing, as are the statistical developments . Therefore, it is necessary to organize regular meetings in order to provide a state-of-art review of the recent advances in this fascinating area. This book collects selected and extended papers presented at the second International Workshop of Functional and Operatorial Statistics (Santander, Spain, 16-18 June, 2011), in which many outstanding experts on FDA will present the most relevant advances in this pioneering statistical area. Undoubtedly, these proceedings will be an essential resource for academic researchers, master students, engineers, and practitioners not only in statistics but also in numerous related fields of application.

Analysis of Variance for Functional Data

Jin-Ting Zhang
Analysis of Variance for Functional Data Book PDF

Author : Jin-Ting Zhang
Publisher : CRC Press
Page : 412 pages
File Size : 42,8 Mb
Release : 2013-06-18
Category : Mathematics
ISBN : 9781439862742

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Analysis of Variance for Functional Data by Jin-Ting Zhang Pdf

Despite research interest in functional data analysis in the last three decades, few books are available on the subject. Filling this gap, Analysis of Variance for Functional Data presents up-to-date hypothesis testing methods for functional data analysis. The book covers the reconstruction of functional observations, functional ANOVA, functional linear models with functional responses, ill-conditioned functional linear models, diagnostics of functional observations, heteroscedastic ANOVA for functional data, and testing equality of covariance functions. Although the methodologies presented are designed for curve data, they can be extended to surface data. Useful for statistical researchers and practitioners analyzing functional data, this self-contained book gives both a theoretical and applied treatment of functional data analysis supported by easy-to-use MATLAB® code. The author provides a number of simple methods for functional hypothesis testing. He discusses pointwise, L2-norm-based, F-type, and bootstrap tests. Assuming only basic knowledge of statistics, calculus, and matrix algebra, the book explains the key ideas at a relatively low technical level using real data examples. Each chapter also includes bibliographical notes and exercises. Real functional data sets from the text and MATLAB codes for analyzing the data examples are available for download from the author’s website.

Contributions in infinite-dimensional statistics and related topics

Enea G. Bongiorno,Ernesto Salinelli,Aldo Goia,Philippe Vieu
Contributions in infinite dimensional statistics and related topics Book PDF

Author : Enea G. Bongiorno,Ernesto Salinelli,Aldo Goia,Philippe Vieu
Publisher : Società Editrice Esculapio
Page : 300 pages
File Size : 46,9 Mb
Release : 2014-05-21
Category : Mathematics
ISBN : 9788874887637

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Contributions in infinite-dimensional statistics and related topics by Enea G. Bongiorno,Ernesto Salinelli,Aldo Goia,Philippe Vieu Pdf

The interest towards Functional and Operatorial Statistics, and, more in general, towards infinite-dimensional statistics has dramatically increased in the statistical community and in many other applied scientific areas where people faces functional data. This volume collects the works selected and presented at the Third Edition of the International Workshop on Functional and Operatorial Statistics held in Stresa, Italy, from the 19th to the 21st of June 2014 (IWFOS’2014). The meeting represents an opportunity of bringing together leading researchers active on these topics both for what concerns theoretical aspects and a wide range of applications in various fields. To promote collaborations with other important strictly related areas of infinite-dimensional Statistics, such as High Dimensional Statistics and Model Selection Procedures, this book hosts works in the latter research subjects too.

Recent Advances in Functional Data Analysis and Related Topics

Frédéric Ferraty
Recent Advances in Functional Data Analysis and Related Topics Book PDF

Author : Frédéric Ferraty
Publisher : Physica
Page : 322 pages
File Size : 48,8 Mb
Release : 2013-08-03
Category : Mathematics
ISBN : 3790828335

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Recent Advances in Functional Data Analysis and Related Topics by Frédéric Ferraty Pdf

New technologies allow us to handle increasingly large datasets, while monitoring devices are becoming ever more sophisticated. This high-tech progress produces statistical units sampled over finer and finer grids. As the measurement points become closer, the data can be considered as observations varying over a continuum. This intrinsic continuous data (called functional data) can be found in various fields of science, including biomechanics, chemometrics, econometrics, environmetrics, geophysics, medicine, etc. The failure of standard multivariate statistics to analyze such functional data has led the statistical community to develop appropriate statistical methodologies, called Functional Data Analysis (FDA). Today, FDA is certainly one of the most motivating and popular statistical topics due to its impact on crucial societal issues (health, environment, etc). This is why the FDA statistical community is rapidly growing, as are the statistical developments . Therefore, it is necessary to organize regular meetings in order to provide a state-of-art review of the recent advances in this fascinating area. This book collects selected and extended papers presented at the second International Workshop of Functional and Operatorial Statistics (Santander, Spain, 16-18 June, 2011), in which many outstanding experts on FDA will present the most relevant advances in this pioneering statistical area. Undoubtedly, these proceedings will be an essential resource for academic researchers, master students, engineers, and practitioners not only in statistics but also in numerous related fields of application.

Functional Statistics and Applications

Elias Ould Saïd,Idir Ouassou,Mustapha Rachdi
Functional Statistics and Applications Book PDF

Author : Elias Ould Saïd,Idir Ouassou,Mustapha Rachdi
Publisher : Springer
Page : 164 pages
File Size : 50,8 Mb
Release : 2015-11-29
Category : Mathematics
ISBN : 9783319224763

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Functional Statistics and Applications by Elias Ould Saïd,Idir Ouassou,Mustapha Rachdi Pdf

This volume, which highlights recent advances in statistical methodology and applications, is divided into two main parts. The first part presents theoretical results on estimation techniques in functional statistics, while the second examines three key areas of application: estimation problems in queuing theory, an application in signal processing, and the copula approach to epidemiologic modelling. The book’s peer-reviewed contributions are based on papers originally presented at the Marrakesh International Conference on Probability and Statistics held in December 2013.

Proceedings of COMPSTAT'2010

Yves Lechevallier,Gilbert Saporta
Proceedings of COMPSTAT 2010 Book PDF

Author : Yves Lechevallier,Gilbert Saporta
Publisher : Springer Science & Business Media
Page : 621 pages
File Size : 49,6 Mb
Release : 2010-11-08
Category : Computers
ISBN : 9783790826043

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Proceedings of COMPSTAT'2010 by Yves Lechevallier,Gilbert Saporta Pdf

Proceedings of the 19th international symposium on computational statistics, held in Paris august 22-27, 2010.Together with 3 keynote talks, there were 14 invited sessions and more than 100 peer-reviewed contributed communications.

Data Analysis

Gérard Govaert
Data Analysis Book PDF

Author : Gérard Govaert
Publisher : John Wiley & Sons
Page : 265 pages
File Size : 42,6 Mb
Release : 2013-03-04
Category : Mathematics
ISBN : 9781118617861

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Data Analysis by Gérard Govaert Pdf

The first part of this book is devoted to methods seeking relevant dimensions of data. The variables thus obtained provide a synthetic description which often results in a graphical representation of the data. After a general presentation of the discriminating analysis, the second part is devoted to clustering methods which constitute another method, often complementary to the methods described in the first part, to synthesize and to analyze the data. The book concludes by examining the links existing between data mining and data analysis.

The Art of Semiparametrics

Stefan Sperlich,Gökhan Aydinli
The Art of Semiparametrics Book PDF

Author : Stefan Sperlich,Gökhan Aydinli
Publisher : Springer Science & Business Media
Page : 178 pages
File Size : 55,5 Mb
Release : 2006-07-25
Category : Mathematics
ISBN : 9783790817010

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The Art of Semiparametrics by Stefan Sperlich,Gökhan Aydinli Pdf

This selection of articles emerged from different works presented "The Art of Semiparametrics" conference in 2003 in Berlin. It offers a collection of individual works that together show the large spectrum of semiparametric statistics. The book combines theoretical contributions with more applied and empirical studies. Although each article represents an original contribution to its own field, all are written in a self-contained way that may be read by non-experts.

Robustness and Complex Data Structures

Claudia Becker,Roland Fried,Sonja Kuhnt
Robustness and Complex Data Structures Book PDF

Author : Claudia Becker,Roland Fried,Sonja Kuhnt
Publisher : Springer Science & Business Media
Page : 379 pages
File Size : 44,8 Mb
Release : 2014-07-08
Category : Mathematics
ISBN : 9783642354946

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Robustness and Complex Data Structures by Claudia Becker,Roland Fried,Sonja Kuhnt Pdf

​This Festschrift in honour of Ursula Gather’s 60th birthday deals with modern topics in the field of robust statistical methods, especially for time series and regression analysis, and with statistical methods for complex data structures. The individual contributions of leading experts provide a textbook-style overview of the topic, supplemented by current research results and questions. The statistical theory and methods in this volume aim at the analysis of data which deviate from classical stringent model assumptions, which contain outlying values and/or have a complex structure. Written for researchers as well as master and PhD students with a good knowledge of statistics.

Recent Advances and Trends in Nonparametric Statistics

M.G. Akritas,D.N. Politis
Recent Advances and Trends in Nonparametric Statistics Book PDF

Author : M.G. Akritas,D.N. Politis
Publisher : Elsevier
Page : 522 pages
File Size : 51,6 Mb
Release : 2003-10-31
Category : Mathematics
ISBN : 9780080540375

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Recent Advances and Trends in Nonparametric Statistics by M.G. Akritas,D.N. Politis Pdf

The advent of high-speed, affordable computers in the last two decades has given a new boost to the nonparametric way of thinking. Classical nonparametric procedures, such as function smoothing, suddenly lost their abstract flavour as they became practically implementable. In addition, many previously unthinkable possibilities became mainstream; prime examples include the bootstrap and resampling methods, wavelets and nonlinear smoothers, graphical methods, data mining, bioinformatics, as well as the more recent algorithmic approaches such as bagging and boosting. This volume is a collection of short articles - most of which having a review component - describing the state-of-the art of Nonparametric Statistics at the beginning of a new millennium. Key features: • algorithic approaches • wavelets and nonlinear smoothers • graphical methods and data mining • biostatistics and bioinformatics • bagging and boosting • support vector machines • resampling methods

Advanced Statistical Methods for the Analysis of Large Data-Sets

Agostino Di Ciaccio,Mauro Coli,Jose Miguel Angulo Ibanez
Advanced Statistical Methods for the Analysis of Large Data Sets Book PDF

Author : Agostino Di Ciaccio,Mauro Coli,Jose Miguel Angulo Ibanez
Publisher : Springer Science & Business Media
Page : 464 pages
File Size : 55,7 Mb
Release : 2012-03-14
Category : Mathematics
ISBN : 9783642210365

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Advanced Statistical Methods for the Analysis of Large Data-Sets by Agostino Di Ciaccio,Mauro Coli,Jose Miguel Angulo Ibanez Pdf

The theme of the meeting was “Statistical Methods for the Analysis of Large Data-Sets”. In recent years there has been increasing interest in this subject; in fact a huge quantity of information is often available but standard statistical techniques are usually not well suited to managing this kind of data. The conference serves as an important meeting point for European researchers working on this topic and a number of European statistical societies participated in the organization of the event. The book includes 45 papers from a selection of the 156 papers accepted for presentation and discussed at the conference on “Advanced Statistical Methods for the Analysis of Large Data-sets.”