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Nonparametric Functional Data Analysis

Name: Nonparametric Functional Data Analysis
Brand: Springer-Verlag New York Inc.
SKU: 9781441921413
Price: 519.79 RON
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Theory and Practice

Autor: Frédéric Ferraty, Philippe Vieu

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Editura: Springer-Verlag New York Inc.

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Modern apparatuses allow us to collect samples of functional data, mainly curves but also images. On...

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Autor

Frédéric Ferraty, Philippe Vieu

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

260

EAN

9781441921413

ISBN

1441921419

Enbook ID

01420998

Editura

Springer-Verlag New York Inc.

Greutate

398

Dimensiuni

159 x 235 x 15

Descriere completă

Modern apparatuses allow us to collect samples of functional data, mainly curves but also images. On the other hand, nonparametric statistics produces useful tools for standard data exploration. This book links these two fields of modern statistics by explaining how functional data can be studied through parameter-free statistical ideas. At the same time it shows how functional data can be studied through parameter-free statistical ideas, and offers an original presentation of new nonparametric statistical methods for functional data analysis.Modern apparatuses allow us to collect samples of functional data, mainly curves but also images. On the other hand, nonparametric statistics produces useful tools for standard data exploration. This book links these two fields of modern statistics by explaining how functional data can be studied through parameter-free statistical ideas. This book starts from theoretical foundations including functional nonparametric modeling, description of the mathematical framework, construction of the statistical methods, and statements of their asymptotic behaviors. It proceeds to computational issues including R and S-PLUS routines. Several functional datasets in chemometrics, econometrics, and pattern recognition are used to emphasize the wide scope of nonparametric functional data analysis in applied sciences. The companion Web site includes R and S-PLUS routines, command lines for reproducing examples presented in the book, and the functional datasets.§Rather than set application against theory, this book is really an interface of these two features of statistics. A special effort has been made in writing this book to accommodate several levels of reading. The computational aspects are oriented toward practitioners whereas open problems emerging from this new field of statistics will attract Ph.D. students and academic researchers. Finally, this book is also accessible to graduate students starting in the area of functional statistics. §Frédéric Ferraty and Philippe Vieu are both researchers in statistics at Toulouse University (France). They are co-founders and co-organizers of the working group STAPH which acquired an international reputation for functional and operatorial statistics. They are authors of many international publications in nonparametric inference as well as functional data analysis. Their scientific works are based on extensive collaborations both with academic statisticians and with scientists from other areas. They have been invited to organize special sessions on functional data in recent international conferences and to teach Ph.D. courses in various countries.

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Nonparametric Functional Data Analysis

Theory and Practice

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