Inference for Functional Data with Applications

Authors:

ISBN: 978-1-4614-3654-6 (Print) 978-1-4614-3655-3 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages i-xiv

  2. No Access

    Book Chapter

    Pages 1-17

    Functional data structures

  3. Independent functional observations

    1. Front Matter

      Pages 19-19

    2. No Access

      Book Chapter

      Pages 21-36

      Hilbert space model for functional data

    3. No Access

      Book Chapter

      Pages 37-43

      Functional principal components

    4. No Access

      Book Chapter

      Pages 45-63

      Canonical correlation analysis

    5. No Access

      Book Chapter

      Pages 65-77

      Two sample inference for the mean and covariance functions

    6. No Access

      Book Chapter

      Pages 79-104

      Detection of changes in the mean function

    7. No Access

      Book Chapter

      Pages 105-124

      Portmanteau test of independence

  4. The functional linear model

    1. Front Matter

      Pages 125-125

    2. No Access

      Book Chapter

      Pages 127-145

      Functional linear models

    3. No Access

      Book Chapter

      Pages 147-167

      Test for lack of effect in the functional linear model

    4. No Access

      Book Chapter

      Pages 169-190

      Two sample inference for regression kernels

    5. No Access

      Book Chapter

      Pages 191-224

      Tests for error correlation in the functional linear model

    6. No Access

      Book Chapter

      Pages 225-232

      A test of significance in functional quadratic regression

  5. Dependent functional data

    1. Front Matter

      Pages 233-233

    2. No Access

      Book Chapter

      Pages 235-252

      Functional autoregressive model

    3. No Access

      Book Chapter

      Pages 253-276

      Change point detection in the functional autoregressive process

    4. No Access

      Book Chapter

      Pages 277-288

      Determining the order of the functional autoregressive model

    5. No Access

      Book Chapter

      Pages 289-341

      Functional time series

    6. No Access

      Book Chapter

      Pages 343-374

      Spatially distributed functional data

    7. No Access

      Book Chapter

      Pages 375-403

      Consistency of the simple mean and the empirical functional principal components for spatially distributed curves

  6. Back Matter

    Pages 405-422