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A dog, who fell into the ocean of statistics, tries to write down his ideas and notes to save himself.

Functional Data Analysis

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Tags: Functional Data Analysis


Functional data is multivariate data with an ordering on the dimensions.

Key assumption: smoothness

\[y_{ij} = x_i(t_{ij}) + \epsilon_{ij}\]

with $t$ in a continuum (usually time), and $x_i(t)$ smooth.

Functional data = the functions $x_i(t)$.


  1. Representations of distribution of functions
    • mean
    • variation
    • covariation
  2. Relationships of functional data to
    • covariates
    • responses
    • other functions
  3. Relationships between derivatives of functions
  4. Timing of events in functions

Published in categories Memo