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Recent advances and trends in nonparametric statistics

Author: Michael G Akritas; Dimitris N Politis
Publisher: Amsterdam, the Netherlands ; San Diego, CA : Elsevier, 2003.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michael G Akritas; Dimitris N Politis
ISBN: 9780080540375 0080540376 9780444513786 0444513787
OCLC Number: 162130715
Description: 1 online resource (x, 512 pages) : illustrations
Contents: Preface.; ; 1. Algorithmic Approaches to Statistics; ; An introduction to support vector machines; ; (B. Schölkopf); ; ; ; Bagging, subagging and bragging for improving some prediction algorithms; ; (P. Bühlmann); ; ; ; ; Data compression by geometric quantization; ; (Nkem-Amin Khumbah, E.J. Wegman).; ; ; ; 2. Functional Data Analysis; ; Functional data analysis in evolutionary biology; ; (N.E. Heckman); ; ; ; Functional nonparametric statistics: a double infinite dimensional framework; ; (F. Ferraty, P. Vieu).; ; ; ; ; 3. Nonparametric Model Building; ; ; Nonparametric models for ANOVA and ANCOVA: a review; ; (M.G. Akritas, E. Brunner); ; ; ; Isotonic additive interaction models; ; (I. Gluhovsky); ; ; ; A nonparametric alternative to analysis of covariance; ; (A. Bathke, E. Brunner).; ; ; ; ; 4. Goodness Of Fit; ; Assessing structural relationships between distributions --
a quantile; process approach based on Mallows distance; ; (G. Freitag, A. Munk, M. Vogt); ; ; ; Almost sure representations in survival analysis under censoring and truncation; applications to goodness-of-fit tests; ; (R. Cao, W. González Manteiga, C. Iglesias Pérez); ; ; ; ; 5. High-Dimensional Data And Visualization; ; Data depth: center-outward ordering of multivariate data and nonparametric multivariate statistics; ; (R.Y. Liu); ; ; ; Visual exploration of data through their graph representations; ; (G. Michailidis).; ; ; 6. Nonparametric Regression; ; Inference for nonsmooth regression curves and surfaces using kernel-based methods; ; (I. Gijbels); ; Nonparametric smoothing methods for a class of non-standard curve; estimation problems; ; (O. Linton, E. Mammen). ; ; Weighted local linear approach to censored nonparametric regression; ; (Z. Cai).; ; ; 7. Topics In Nonparametrics; ; Adaptive quantile regression; ; (S. van de Geer); ; ; Set estimation: an overview and some recent developments; ; (A. Cuevas, A. Rodríguez-Casal); ; Nonparametric methods for heavy tailed vector data: a survey with applications; from finance and hydrology; ; (M.M. Meerschaert, Hans-Peter Scheffler).; ; ; 8. Nonparametrics in Finance; ; ; Nonparametric methods in continuous-time finance: a selective review; ; (Z. Cai, Y. Hong); ; Nonparametric estimation in a stochastic volatility model; ; (J. Franke, W. Härdle, Jens-Peter Kreiss); ; ; Dynamic nonparametric filtering with application to volatility estimation; ; (Ming-Yen Cheng, J. Fan, V. Spokoiny). ; ; ; ; ; A normalizing and variance-stabilizing transformation for financial time series; ; (D.N. Politis).; ; ; 9. Bioinformatics and Biostatistics; ; Biostochastics and nonparametrics: oranges and apples?; ; (P.K. Sen); ; ; ; Some issues concerning length-biased sampling in survival analysis; ; (M. Asgharian, D.B. Wolfson); ; Covariate centering and scaling in varying-coefficient regression with; application to longitudinal growth studies; ; (C.O. Wu, K.F. Yu, V.W.S. Yuan); ; Directed peeling and covering of patient rules; ; (M. LeBlanc, J. Moon, J. Crowley).; ; 10. Resampling and Subsampling; ; Statistical analysis of survival models with Bayesian bootstrap; ; (J. Lee, Y. Kim); ; On optimal variance estimation under different spatial subsampling schemes; ; (D.J. Nordman, S.N. Lahiri). ; ; ; Locally stationary processes and the local block bootstrap; ; (A. Dowla, E. Paparoditis, D.N. Politis).; ; ; ; ; ; 11. Time Series and Stochastic Processes; ; Spectral analysis and a class of nonstationary processes; ; (M. Rosenblatt); ; Curve estimation for locally stationary time series models; ; (R. Dahlhaus); ; ; Assessing spatial isotropy; ; (M. Sherman, Y. Guan, J.A. Calvin).; ; ; 12. Wavelet and Multiresolution Methods; ; Automatic landmark registration of 1D curves; ; (J. Bigot); ; Stochastic multiresolution models for turbulence; ; (B. Whitcher, J.B. Weiss, D.W. Nychka, T.J. Hoar).; ; ; ; List of Contributors.
Responsibility: edited by Michael G. Akritas, Dimitris N. Politis.
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Abstract:

Presents a collection of short articles - most of which having a review component - describing the developments of Nonparametric Statistics. This work includes topics such as: algorithic approaches;  Read more...

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The book provides current literature in many areas.Tapabrata Maiti (Iowa State University), in: Journal of American Statistical Association, 2005

 
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