simulate_data_FRTM function

Simulate data for real-time monitoring of univariate functional data

Generate synthetic data as in the simulation study of Centofanti et al. (2024).

simulate_data_FRTM(
  n_obs = 100,
  scenario = "1",
  shift = "IC",
  alignemnt_level = "M1",
  t_out_type = "0.3",
  severity = 0.5,
  grid = seq(0, 1, length.out = 100)
)

Arguments

• n_obs: Number of curves generated.
• scenario: A character string indicating the scenario considered. It could be "1", and "2".
• shift: A character string indicating the shift considered. It could be "IC", in-control data, "OC_h", Shift A (Phase),"OC_x", Shift B (Amplitude) and "OC_xh", Shift C (Amplitude and Phase).
• alignemnt_level: A character string indicating the alignment level considered. It could be "M1", "M2", and "M3".
• t_out_type: If "0.3", change point at the 30% of the process. If "0.6", change point at the 60% of the process.
• severity: Severity level.
• grid: Grid of evaluation points.

Returns

A list containing the following arguments:

x_err: A list containing the discrete observations for each curve.

grid_i: A list of vector of time points where the curves are sampled.

h: A list containing the discrete observations of the warping function for each curve.

template: The discrete observations of the true template function.

grid_template: Time points where the template is sampled.

x_true: A list containing the discrete observations of the amplitude function for each curve.

grid: Grid of evaluation points.

out_control_t: Time of the change point.

Examples

library(funcharts)
data<-simulate_data_FRTM(n_obs=20)

References

Centofanti, F., A. Lepore, M. Kulahci, and M. P. Spooner (2024). Real-time monitoring of functional data. Accepted for publication in Journal of Quality Technology.