Evaluating the average mean square errors on the left and right intevals of a given split i

Source: R/split.R

For a given data f and a given split i, the function returns vector of two values of the average mean square errors on the left and righe intevals generated by this split.

split(f, i)

Arguments

f

data of an n x nx matrix, where n is number of samples (rows) and nx reperesents the grid size
i

an integer withen the range of the object, i.e \((1 , (nx-1))\), indecates the split.

Value

vector of two average mean square errors (AMSE_L, AMSE_R):left and righr the spliting point, respectively

References

Nassar, H., Podgórski, K. (2019) Empirically driven orthonormal bases for functional data analysis. Preprint. Department of Statistics, Lund University.

See also

opt_split

Examples

n=10
f=rbetafda(n)
nx=dim(f)[2]
xx=vector()
for( i in 1:499){
  Q=split(f,i)
  xx[i]=Q[1]*i/nx+Q[2]*(nx-i)/nx
}
plot(xx)