Functional Data Analysis
Functional data is multivariate data with an ordering on the dimensions.
Key assumption: smoothness
with $t$ in a continuum (usually time), and $x_i(t)$ smooth.
Functional data = the functions $x_i(t)$.
- Representations of distribution of functions
- Relationships of functional data to
- other functions
- Relationships between derivatives of functions
- Timing of events in functions