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Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin
Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin
Autore Egerstedt Magnus
Edizione [Course Book]
Pubbl/distr/stampa Princeton, : Princeton University Press, c2010
Descrizione fisica 1 online resource (227 p.)
Disciplina 511/.42
Altri autori (Persone) MartinClyde
Collana Princeton series in applied mathematics
Soggetto topico Interpolation
Smoothing (Numerical analysis)
Smoothing (Statistics)
Curve fitting
Splines
Spline theory
Soggetto genere / forma Electronic books.
ISBN 1-282-45796-9
1-282-93606-9
9786612936067
9786612457968
1-4008-3387-6
Classificazione SK 880
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Control Systems and Minimum Norm Problems -- Chapter Three. Eight Fundamental Problems -- Chapter Four. Smoothing Splines and Generalizations -- Chapter Five. Approximations and Limiting Concepts -- Chapter Six. Smoothing Splines with Continuous Data -- Chapter Seven. Monotone Smoothing Splines -- Chapter Eight. Smoothing Splines as Integral Filters -- Chapter Nine. Optimal Transfer between Affine Varieties -- Chapter Ten. Path Planning and Telemetry -- Chapter Eleven. Node Selection -- Bibliography -- Index
Record Nr. UNINA-9910456747503321
Egerstedt Magnus  
Princeton, : Princeton University Press, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin
Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin
Autore Egerstedt Magnus
Edizione [Course Book]
Pubbl/distr/stampa Princeton, : Princeton University Press, c2010
Descrizione fisica 1 online resource (227 p.)
Disciplina 511/.42
Altri autori (Persone) MartinClyde
Collana Princeton series in applied mathematics
Soggetto topico Interpolation
Smoothing (Numerical analysis)
Smoothing (Statistics)
Curve fitting
Splines
Spline theory
Soggetto non controllato Accuracy and precision
Affine space
Affine variety
Algorithm
Approximation
Arbitrarily large
B-spline
Banach space
Bernstein polynomial
Bifurcation theory
Big O notation
Birkhoff interpolation
Boundary value problem
Bézier curve
Chaos theory
Computation
Computational problem
Condition number
Constrained optimization
Continuous function (set theory)
Continuous function
Control function (econometrics)
Control theory
Controllability
Convex optimization
Convolution
Cubic Hermite spline
Data set
Derivative
Differentiable function
Differential equation
Dimension (vector space)
Directional derivative
Discrete mathematics
Dynamic programming
Equation
Estimation
Filtering problem (stochastic processes)
Gaussian quadrature
Gradient descent
Gramian matrix
Growth curve (statistics)
Hermite interpolation
Hermite polynomials
Hilbert projection theorem
Hilbert space
Initial condition
Initial value problem
Integral equation
Iterative method
Karush–Kuhn–Tucker conditions
Kernel method
Lagrange polynomial
Law of large numbers
Least squares
Linear algebra
Linear combination
Linear filter
Linear map
Mathematical optimization
Mathematics
Maxima and minima
Monotonic function
Nonlinear programming
Nonlinear system
Normal distribution
Numerical analysis
Numerical stability
Optimal control
Optimization problem
Ordinary differential equation
Orthogonal polynomials
Parameter
Piecewise
Pointwise
Polynomial interpolation
Polynomial
Probability distribution
Quadratic programming
Random variable
Rate of convergence
Ratio test
Riccati equation
Simpson's rule
Simultaneous equations
Smoothing spline
Smoothing
Smoothness
Special case
Spline (mathematics)
Spline interpolation
Statistic
Stochastic calculus
Stochastic
Telemetry
Theorem
Trapezoidal rule
Waypoint
Weight function
Without loss of generality
ISBN 1-282-45796-9
1-282-93606-9
9786612936067
9786612457968
1-4008-3387-6
Classificazione SK 880
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Control Systems and Minimum Norm Problems -- Chapter Three. Eight Fundamental Problems -- Chapter Four. Smoothing Splines and Generalizations -- Chapter Five. Approximations and Limiting Concepts -- Chapter Six. Smoothing Splines with Continuous Data -- Chapter Seven. Monotone Smoothing Splines -- Chapter Eight. Smoothing Splines as Integral Filters -- Chapter Nine. Optimal Transfer between Affine Varieties -- Chapter Ten. Path Planning and Telemetry -- Chapter Eleven. Node Selection -- Bibliography -- Index
Record Nr. UNINA-9910780863803321
Egerstedt Magnus  
Princeton, : Princeton University Press, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Control theoretic splines : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin
Control theoretic splines : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin
Autore Egerstedt Magnus
Edizione [Course Book]
Pubbl/distr/stampa Princeton, : Princeton University Press, c2010
Descrizione fisica 1 online resource (227 p.)
Disciplina 511/.42
Altri autori (Persone) MartinClyde
Collana Princeton series in applied mathematics
Soggetto topico Interpolation
Smoothing (Numerical analysis)
Smoothing (Statistics)
Curve fitting
Splines
Spline theory
ISBN 1-282-45796-9
1-282-93606-9
9786612936067
9786612457968
1-4008-3387-6
Classificazione SK 880
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Control Systems and Minimum Norm Problems -- Chapter Three. Eight Fundamental Problems -- Chapter Four. Smoothing Splines and Generalizations -- Chapter Five. Approximations and Limiting Concepts -- Chapter Six. Smoothing Splines with Continuous Data -- Chapter Seven. Monotone Smoothing Splines -- Chapter Eight. Smoothing Splines as Integral Filters -- Chapter Nine. Optimal Transfer between Affine Varieties -- Chapter Ten. Path Planning and Telemetry -- Chapter Eleven. Node Selection -- Bibliography -- Index
Record Nr. UNINA-9910807652503321
Egerstedt Magnus  
Princeton, : Princeton University Press, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Kernel smoothing : principles, methods and applications / / Sucharita Ghosh
Kernel smoothing : principles, methods and applications / / Sucharita Ghosh
Autore Ghosh S (Sucharita)
Edizione [1st edition]
Pubbl/distr/stampa Hoboken, New Jersey : , : Wiley, , 2018
Descrizione fisica 1 online resource (1 volume) : illustrations
Disciplina 511/.42
Collana THEi Wiley ebooks
Soggetto topico Smoothing (Statistics)
Kernel functions
ISBN 1-118-89050-7
1-118-89037-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Density estimation -- Nonparametric regression -- Trend estimation -- Semiparametric regression -- Surface estimation.
Record Nr. UNINA-9910271040703321
Ghosh S (Sucharita)  
Hoboken, New Jersey : , : Wiley, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Kernel smoothing : principles, methods and applications / / Sucharita Ghosh
Kernel smoothing : principles, methods and applications / / Sucharita Ghosh
Autore Ghosh S (Sucharita)
Edizione [1st edition]
Pubbl/distr/stampa Hoboken, New Jersey : , : Wiley, , 2018
Descrizione fisica 1 online resource (1 volume) : illustrations
Disciplina 511/.42
Collana THEi Wiley ebooks
Soggetto topico Smoothing (Statistics)
Kernel functions
ISBN 1-118-89050-7
1-118-89037-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Density estimation -- Nonparametric regression -- Trend estimation -- Semiparametric regression -- Surface estimation.
Record Nr. UNINA-9910824925703321
Ghosh S (Sucharita)  
Hoboken, New Jersey : , : Wiley, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Kernel smoothing in MATLAB : theory and practice of kernel smoothing / / Ivanka Horova, Jan Kolacek, Jiri Zelinka
Kernel smoothing in MATLAB : theory and practice of kernel smoothing / / Ivanka Horova, Jan Kolacek, Jiri Zelinka
Autore Horova Ivanka
Edizione [1st ed.]
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, 2012
Descrizione fisica 1 online resource (242 p.)
Disciplina 519.5
Altri autori (Persone) KolacekJan
ZelinkaJiri
Soggetto topico Smoothing (Statistics)
Kernel functions
ISBN 1-283-63596-8
981-4405-49-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1. Introduction; 1.1 Kernels and their properties; 1.2 Use of MATLAB toolbox; 1.3 Complements; 2. Univariate kernel density estimation; 2.1 Basic definition; 2.2 Statistical properties of the estimate; 2.3 Choosing the shape of the kernel; 2.4 Choosing the bandwidth; 2.4.1 Reference rule; 2.4.2 Maximal smoothing principle; 2.4.3 Cross-validation methods; 2.4.4 Plug-in method; 2.4.5 Iterative method; 2.5 Density derivative estimation; 2.5.1 Choosing the bandwidth; 2.6 Automatic procedure for simultaneous choice of the kernel, the bandwidth and the kernel order
2.7 Boundary effects2.7.1 Generalized reflection method; 2.8 Simulations; 2.9 Application to real data; 2.9.1 Buffalo snowfall data; 2.9.2 Concentration of cholesterol; 2.10 Use of MATLAB toolbox; 2.10.1 Running the program; 2.10.2 Main figure; 2.10.3 Setting the parameters; 2.10.4 Eye-control method; 2.10.5 The final estimation; 2.11 Complements; 3. Kernel estimation of a distribution function; 3.1 Basic definition; 3.2 Statistical properties of the estimate; 3.3 Choosing the bandwidth; 3.3.1 Cross-validation methods; 3.3.2 Maximal smoothing principle; 3.3.3 Plug-in methods
3.3.4 Iterative method3.4 Boundary effects; 3.4.1 Generalized reflection method; 3.5 Application to data; 3.6 Simulations; 3.7 Application to real data; 3.7.1 Trout PCB data; 3.8 Use of MATLAB toolbox; 3.8.1 Running the program; 3.8.2 Main figure; 3.8.3 Setting the parameters; 3.8.4 Eye-control method; 3.8.5 The final estimation; 3.9 Complements; 4. Kernel estimation and reliability assessment; 4.1 Basic Definition; 4.2 Estimation of ROC curves; 4.2.1 Binormal model; 4.2.2 Nonparametric estimates; 4.3 Summary indices based on the ROC curve; 4.3.1 Area under the ROC curve
4.3.2 Maximum improvement of sensitivity over chance diagonal (MIS)4.4 Other indices of reliability assessment; 4.4.1 Cumulative Lift; 4.4.2 Lift Ratio; 4.4.3 Integrated Relative Lift; 4.4.4 Information Value; 4.4.5 KR index; 4.5 Application to real data; 4.5.1 Head trauma data; 4.5.2 Pancreatic cancer data; 4.5.3 Consumer loans data; 4.6 Use of MATLAB toolbox; 4.6.1 Running the program; 4.6.2 Start menu; 4.6.3 Simulation menu; 4.6.4 The final estimation; 5. Kernel estimation of a hazard function; 5.1 Basic definition; 5.2 Statistical properties of the estimate; 5.3 Choosing the bandwidth
5.3.1 Cross-validation method5.3.2 Maximum likelihood method; 5.3.3 Iterative method; 5.3.4 Acceptable bandwidths; 5.3.5 Points of the most rapid change; 5.4 Description of algorithm; 5.5 Application to real data; 5.5.1 Breast carcinoma data; 5.5.2 Cervix carcinoma data; 5.5.3 Chronic lymphocytic leukaemia; 5.5.4 Bone marrow transplant; 5.6 Use of MATLAB toolbox; 5.6.1 Running the program; 5.6.2 Main figure; 5.6.3 Setting the parameters; 5.6.4 Eye-control method; 5.6.5 The final estimation; 5.7 Complements; Simulation of lifetimes; Simulation of censoring times
6. Kernel estimation of a regression function
Record Nr. UNINA-9910807062103321
Horova Ivanka  
Singapore ; ; Hackensack, NJ, : World Scientific, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Kernel smoothing in MATLAB [[electronic resource] ] : theory and practice of kernel smoothing / / Ivanka Horová, Jan Koláček, Jiří Zelinka
Kernel smoothing in MATLAB [[electronic resource] ] : theory and practice of kernel smoothing / / Ivanka Horová, Jan Koláček, Jiří Zelinka
Autore Horová Ivanka
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, 2012
Descrizione fisica 1 online resource (242 p.)
Disciplina 519.5
Altri autori (Persone) KoláčekJan
ZelinkaJiří
Soggetto topico Smoothing (Statistics)
Kernel functions
Soggetto genere / forma Electronic books.
ISBN 1-283-63596-8
981-4405-49-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1. Introduction; 1.1 Kernels and their properties; 1.2 Use of MATLAB toolbox; 1.3 Complements; 2. Univariate kernel density estimation; 2.1 Basic definition; 2.2 Statistical properties of the estimate; 2.3 Choosing the shape of the kernel; 2.4 Choosing the bandwidth; 2.4.1 Reference rule; 2.4.2 Maximal smoothing principle; 2.4.3 Cross-validation methods; 2.4.4 Plug-in method; 2.4.5 Iterative method; 2.5 Density derivative estimation; 2.5.1 Choosing the bandwidth; 2.6 Automatic procedure for simultaneous choice of the kernel, the bandwidth and the kernel order
2.7 Boundary effects2.7.1 Generalized reflection method; 2.8 Simulations; 2.9 Application to real data; 2.9.1 Buffalo snowfall data; 2.9.2 Concentration of cholesterol; 2.10 Use of MATLAB toolbox; 2.10.1 Running the program; 2.10.2 Main figure; 2.10.3 Setting the parameters; 2.10.4 Eye-control method; 2.10.5 The final estimation; 2.11 Complements; 3. Kernel estimation of a distribution function; 3.1 Basic definition; 3.2 Statistical properties of the estimate; 3.3 Choosing the bandwidth; 3.3.1 Cross-validation methods; 3.3.2 Maximal smoothing principle; 3.3.3 Plug-in methods
3.3.4 Iterative method3.4 Boundary effects; 3.4.1 Generalized reflection method; 3.5 Application to data; 3.6 Simulations; 3.7 Application to real data; 3.7.1 Trout PCB data; 3.8 Use of MATLAB toolbox; 3.8.1 Running the program; 3.8.2 Main figure; 3.8.3 Setting the parameters; 3.8.4 Eye-control method; 3.8.5 The final estimation; 3.9 Complements; 4. Kernel estimation and reliability assessment; 4.1 Basic Definition; 4.2 Estimation of ROC curves; 4.2.1 Binormal model; 4.2.2 Nonparametric estimates; 4.3 Summary indices based on the ROC curve; 4.3.1 Area under the ROC curve
4.3.2 Maximum improvement of sensitivity over chance diagonal (MIS)4.4 Other indices of reliability assessment; 4.4.1 Cumulative Lift; 4.4.2 Lift Ratio; 4.4.3 Integrated Relative Lift; 4.4.4 Information Value; 4.4.5 KR index; 4.5 Application to real data; 4.5.1 Head trauma data; 4.5.2 Pancreatic cancer data; 4.5.3 Consumer loans data; 4.6 Use of MATLAB toolbox; 4.6.1 Running the program; 4.6.2 Start menu; 4.6.3 Simulation menu; 4.6.4 The final estimation; 5. Kernel estimation of a hazard function; 5.1 Basic definition; 5.2 Statistical properties of the estimate; 5.3 Choosing the bandwidth
5.3.1 Cross-validation method5.3.2 Maximum likelihood method; 5.3.3 Iterative method; 5.3.4 Acceptable bandwidths; 5.3.5 Points of the most rapid change; 5.4 Description of algorithm; 5.5 Application to real data; 5.5.1 Breast carcinoma data; 5.5.2 Cervix carcinoma data; 5.5.3 Chronic lymphocytic leukaemia; 5.5.4 Bone marrow transplant; 5.6 Use of MATLAB toolbox; 5.6.1 Running the program; 5.6.2 Main figure; 5.6.3 Setting the parameters; 5.6.4 Eye-control method; 5.6.5 The final estimation; 5.7 Complements; Simulation of lifetimes; Simulation of censoring times
6. Kernel estimation of a regression function
Record Nr. UNINA-9910461809203321
Horová Ivanka  
Singapore ; ; Hackensack, NJ, : World Scientific, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Kernel smoothing in MATLAB [[electronic resource] ] : theory and practice of kernel smoothing / / Ivanka Horová, Jan Koláček, Jiří Zelinka
Kernel smoothing in MATLAB [[electronic resource] ] : theory and practice of kernel smoothing / / Ivanka Horová, Jan Koláček, Jiří Zelinka
Autore Horová Ivanka
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, 2012
Descrizione fisica 1 online resource (242 p.)
Disciplina 519.5
Altri autori (Persone) KoláčekJan
ZelinkaJiří
Soggetto topico Smoothing (Statistics)
Kernel functions
ISBN 1-283-63596-8
981-4405-49-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1. Introduction; 1.1 Kernels and their properties; 1.2 Use of MATLAB toolbox; 1.3 Complements; 2. Univariate kernel density estimation; 2.1 Basic definition; 2.2 Statistical properties of the estimate; 2.3 Choosing the shape of the kernel; 2.4 Choosing the bandwidth; 2.4.1 Reference rule; 2.4.2 Maximal smoothing principle; 2.4.3 Cross-validation methods; 2.4.4 Plug-in method; 2.4.5 Iterative method; 2.5 Density derivative estimation; 2.5.1 Choosing the bandwidth; 2.6 Automatic procedure for simultaneous choice of the kernel, the bandwidth and the kernel order
2.7 Boundary effects2.7.1 Generalized reflection method; 2.8 Simulations; 2.9 Application to real data; 2.9.1 Buffalo snowfall data; 2.9.2 Concentration of cholesterol; 2.10 Use of MATLAB toolbox; 2.10.1 Running the program; 2.10.2 Main figure; 2.10.3 Setting the parameters; 2.10.4 Eye-control method; 2.10.5 The final estimation; 2.11 Complements; 3. Kernel estimation of a distribution function; 3.1 Basic definition; 3.2 Statistical properties of the estimate; 3.3 Choosing the bandwidth; 3.3.1 Cross-validation methods; 3.3.2 Maximal smoothing principle; 3.3.3 Plug-in methods
3.3.4 Iterative method3.4 Boundary effects; 3.4.1 Generalized reflection method; 3.5 Application to data; 3.6 Simulations; 3.7 Application to real data; 3.7.1 Trout PCB data; 3.8 Use of MATLAB toolbox; 3.8.1 Running the program; 3.8.2 Main figure; 3.8.3 Setting the parameters; 3.8.4 Eye-control method; 3.8.5 The final estimation; 3.9 Complements; 4. Kernel estimation and reliability assessment; 4.1 Basic Definition; 4.2 Estimation of ROC curves; 4.2.1 Binormal model; 4.2.2 Nonparametric estimates; 4.3 Summary indices based on the ROC curve; 4.3.1 Area under the ROC curve
4.3.2 Maximum improvement of sensitivity over chance diagonal (MIS)4.4 Other indices of reliability assessment; 4.4.1 Cumulative Lift; 4.4.2 Lift Ratio; 4.4.3 Integrated Relative Lift; 4.4.4 Information Value; 4.4.5 KR index; 4.5 Application to real data; 4.5.1 Head trauma data; 4.5.2 Pancreatic cancer data; 4.5.3 Consumer loans data; 4.6 Use of MATLAB toolbox; 4.6.1 Running the program; 4.6.2 Start menu; 4.6.3 Simulation menu; 4.6.4 The final estimation; 5. Kernel estimation of a hazard function; 5.1 Basic definition; 5.2 Statistical properties of the estimate; 5.3 Choosing the bandwidth
5.3.1 Cross-validation method5.3.2 Maximum likelihood method; 5.3.3 Iterative method; 5.3.4 Acceptable bandwidths; 5.3.5 Points of the most rapid change; 5.4 Description of algorithm; 5.5 Application to real data; 5.5.1 Breast carcinoma data; 5.5.2 Cervix carcinoma data; 5.5.3 Chronic lymphocytic leukaemia; 5.5.4 Bone marrow transplant; 5.6 Use of MATLAB toolbox; 5.6.1 Running the program; 5.6.2 Main figure; 5.6.3 Setting the parameters; 5.6.4 Eye-control method; 5.6.5 The final estimation; 5.7 Complements; Simulation of lifetimes; Simulation of censoring times
6. Kernel estimation of a regression function
Record Nr. UNINA-9910785918803321
Horová Ivanka  
Singapore ; ; Hackensack, NJ, : World Scientific, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Nonparametric and semiparametric models / Wolfgang Härdle ... [et al.]
Nonparametric and semiparametric models / Wolfgang Härdle ... [et al.]
Pubbl/distr/stampa Berlin ; New York : Springer, c2004
Descrizione fisica xxvii, 299 p. ; 24 cm
Disciplina 519.54
Altri autori (Persone) Härdle, Wolfgang Karlauthor
Collana Springer series in statistics
Soggetto topico Nonparametric statistics
Mathematical models
Smoothing (Statistics)
ISBN 3540207228
Classificazione AMS 62G
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione und
Record Nr. UNISALENTO-991002610379707536
Berlin ; New York : Springer, c2004
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Smoothing and regression [[electronic resource] ] : approaches, computation, and application / / edited by Michael G. Schimek
Smoothing and regression [[electronic resource] ] : approaches, computation, and application / / edited by Michael G. Schimek
Pubbl/distr/stampa New York, : Wiley, 2000
Descrizione fisica 1 online resource (648 p.)
Disciplina 519.5/36
519.536
Altri autori (Persone) SchimekMichael G
Collana Wiley series in probability and mathematical statistics. Applied probability and statistics section
Soggetto topico Smoothing (Statistics)
Nonparametric statistics
Regression analysis
Soggetto genere / forma Electronic books.
ISBN 1-283-44611-1
9786613446114
1-118-15065-1
1-118-15064-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Smoothing and Regression: Approaches, Computation, and Application; Contents; Foreword; Preface; 1. Spline Regression; 1.1 Introduction; 1.2 General Form of the Estimator; 1.3 The Linear Smoothing Spline; 1.4 Large-Sample Efficiency; 1.5 Bayesian Motivation; 1.6 Extensions and Implementations; References; 2. Variance Estimation and Smoothing-Parameter Selection for Spline Regression; 2.1 Introduction and Some Definitions; 2.2 Interpretation of the Smoothing Parameter; 2.3 Quantifying the Complexity of a Smoothing Spline; 2.4 Estimation of σ2; 2.5 Determination of λ; 2.6 Estimation of τ2
4.2 Nonparametric Variance Estimators4.3 Bandwidth Choice for Kernel Regression Estimators; References; 5. Spline and Kernel Regression under Shape Restrictions; 5.1 Introduction; 5.2 Description of the Main Methods; 5.3 A Comparative View; 5.4 Examples; 5.5 Software Hints; References; 6. Spline and Kernel Regression for Dependent Data; 6.1 Introduction; 6.2 Approaches for a Known Autocorrelation Function; 6.3 Approaches for an Unknown Autocorrelation Function; 6.4 A Bayesian Approach to Smoothing Dependent Data; 6.5 Applications of Smoothing Dependent Data; References
7. Wavelets for Regression and Other Statistical Problems7.1 Introduction; 7.2 Wavelet Expansions; 7.3 The Discrete Wavelet Transform in S; 7.4 Wavelet Shrinkage; 7.5 Estimators for Data With Correlated Noise; 7.6 Implementation of the Wavelet Transform; 7.7 How to Obtain and Install the Wavelet Software; References; 8. Smoothing Methods for Discrete Data; 8.1 Introduction; 8.2 Smoothing Contingency Tables; 8.3 Smoothing Approaches to Categorical Regression; 8.4 Conclusion; References; 9. Local Polynomial Fitting; 9.1 Introduction; 9.2 Properties of Local Polynomial Fitting
9.3 Choice of Bandwidth9.4 Choice of the Degree; 9.5 Local Modeling; 9.6 Some More Applications; References; 10. Additive and Generalized Additive Models; 10.1 Introduction; 10.2 The Additive Model; 10.3 Generalized Additive Models; 10.4 Alternating Conditional Expectations Additivity, and Variance Stabilization; 10.5 Smoothing Parameter and Bandwidth Determination; 10.6 Model Diagnostics; 10.7 New Developments; References; 11. Multivariate Spline Regression; 11.1 Introduction; 11.2 Smoothing Splines as Bayes Estimates; 11.3 ANOVA Decomposition on Product Domains; 11.4 Tensor Product Splines
11.5 Computation
Record Nr. UNINA-9910139720503321
New York, : Wiley, 2000
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui