sof_pc_real_time function

Get a list of scalar-on-function linear regression models estimated on functional data each evolving up to an intermediate domain point.

This function produces a list of objects, each of them contains the result of applying sof_pc to a scalar response variable and multivariate functional covariates evolved up to an intermediate domain point. See Capezza et al. (2020) for additional details on real-time monitoring.

sof_pc_real_time(
  y,
  mfd_real_time_list,
  single_min_variance_explained = 0,
  tot_variance_explained = 0.9,
  selection = "PRESS",
  components = NULL,
  ncores = 1
)

Arguments

• y: A numeric vector containing the observations of the scalar response variable.
• mfd_real_time_list: A list created using get_mfd_df_real_time or get_mfd_list_real_time, denoting a list of functional data objects, each evolving up to an intermediate domain point, with observations of the multivariate functional covariates.
• single_min_variance_explained: See sof_pc.
• tot_variance_explained: See sof_pc.
• selection: See sof_pc.
• components: See sof_pc.
• ncores: If you want parallelization, give the number of cores/threads to be used when creating objects separately for different instants.

Returns

A list of lists each produced by sof_pc, corresponding to a given instant.

Examples

library(funcharts)
data("air")
air <- lapply(air, function(x) x[1:10, , drop = FALSE])
mfdobj_list <- get_mfd_list_real_time(air[c("CO", "temperature")],
                                      n_basis = 15,
                                      lambda = 1e-2,
                                      k_seq = c(0.5, 0.75, 1))
y <- rowMeans(air$NO2)
mod_list <- sof_pc_real_time(y, mfdobj_list)

References

Capezza C, Lepore A, Menafoglio A, Palumbo B, Vantini S. (2020) Control charts for monitoring ship operating conditions and CO2 emissions based on scalar-on-function regression. Applied Stochastic Models in Business and Industry, 36(3):477--500. doi:10.1002/asmb.2507

See Also

sof_pc, get_mfd_df_real_time, get_mfd_list_real_time

Author(s)

C. Capezza