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Analysis of Variance for Functional Data

Jin-Ting Zhang
Publisher: 
Chapman & Hall/CRC
Publication Date: 
2013
Number of Pages: 
386
Format: 
Hardcover
Series: 
Monographs on Statistics and Applied Probability 127
Price: 
99.95
ISBN: 
9781439862735
Category: 
Monograph
We do not plan to review this book.

Introduction
Functional Data
Motivating Functional Data
Why Is Functional Data Analysis Needed?
Overview of the Book
Implementation of Methodologies
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Nonparametric Smoothers for a Single Curve
Introduction
Local Polynomial Kernel Smoothing
Regression Splines
Smoothing Splines
P-Splines

Reconstruction of Functional Data
Introduction
Reconstruction Methods
Accuracy of LPK Reconstructions
Accuracy of LPK Reconstruction in FLMs

Stochastic Processes
Introduction
Stochastic Processes
x2-Type Mixtures
F-Type Mixtures
One-Sample Problem for Functional Data

ANOVA for Functional Data
Introduction
Two-Sample Problem
One-Way ANOVA
Two-Way ANOVA

Linear Models with Functional Responses
Introduction
Linear Models with Time-Independent Covariates
Linear Models with Time-Dependent Covariates

Ill-Conditioned Functional Linear Models
Introduction
Generalized Inverse Method
Reparameterization Method
Side-Condition Method

Diagnostics of Functional Observations
Introduction
Residual Functions
Functional Outlier Detection
Influential Case Detection
Robust Estimation of Coefficient Functions
Outlier Detection for a Sample of Functions

Heteroscedastic ANOVA for Functional Data
Introduction
Two-Sample Behrens-Fisher Problems
Heteroscedastic One-Way ANOVA
Heteroscedastic Two-Way ANOVA

Test of Equality of Covariance Functions
Introduction
Two-Sample Case
Multi-Sample Case

Bibliography

Index

Dummy View - NOT TO BE DELETED