sparsePOFD {fdaPOIFD}

Sparse Observability

Description

Generates samples of sparse functions. See Elías et al (2020).

Usage

sparsePOFD(data, observability = NULL, pIncomplete = NULL)

Arguments

data

functional data completely observed. pxn matrix being n the number of curves and p the number og evaluation points.

observability

observed proportion of the domain where each function is observed.

pIncomplete

number between 0 and 1 related to the proportion of curves that suffers partially observability. The default is 1 meaning that all the sample curves are partially observed.

Value

a list containing two elements 1) a functional sample and 2) the same sample of functions but partially observed following one of the schemes described in the argument type.

References

Elías, Antonio, Jiménez, Raúl, Paganoni, Anna M. and Sangalli, Laura M. (2020). Integrated Depths for Partially Observed Functional Data.

Examples

data <- sapply(1:100, function(x) runif(1)*sin(seq(0, 2*pi, length.out = 200)) +
runif(1)*cos(seq(0, 2*pi, length.out = 200)))

data_pofd <- sparsePOFD(data, observability = 0.5, pIncomplete = 1)