Splines

Note

For simple demonstration and fast auto-generation via GitHub Action, here we do not run the complete experiment presented in the paper.

using DegreesOfFreedom
df_splines(n = 20, nrep = 2, nMC = 10)

12×3 Matrix{Float64}:
  4.70946  1.24567     5.0
 11.331    0.0611515  10.0
 13.8182   0.119792   15.0
  2.38587  1.28572     2.1
  2.83306  0.442908    3.0
  2.63394  0.418761    3.0
  5.13863  0.583301    5.33569
  3.53143  0.158881    3.44782
  1.93061  0.326768    2.40037
  2.06689  0.106137    0.0
  1.9968   0.145458    0.0
  1.62764  0.102877    0.0

where

n is the sample size
nMC is the number of Monte Carlo samples to estimate the degrees of freedom
nrep is the number of repetitions.

These three columns are estimated df, standard deviation of df and theoretical df, respectively.