Conditional Distribution Function
Calculate the conditional distribution function of a scalar response with functional data.
cond.F( fdata0, y0, fdataobj, y, h = 0.15, g = 0.15, metric = metric.lp, Ker = list(AKer = AKer.epa, IKer = IKer.epa), ... )
fdata0 |
Conditional explanatory functional data of |
y0 |
Vector of conditional response with length |
fdataobj |
|
y |
Vector of scalar response with length |
h |
Smoothing parameter or bandwidth of response |
g |
Smoothing parameter or bandwidth of explanatory functional data
|
metric |
Metric function, by default |
Ker |
List of 2 arguments. The fist argument is a character string that
determines the type of asymetric kernel (see
|
... |
Further arguments passed to or from other methods. |
If x.dist=NULL
the distance matrix between fdata
objects is
calculated by function passed in metric
argument.
Fc Conditional distribution function.
y0 Vector of conditional response.
g Smoothing parameter or bandwidth of explanatory functional data (fdataobj
).
h Smoothing parameter or bandwidth of respone, y
.
x.dist Distance matrix between curves of fdataobj
object.
xy.dist Distance matrix between cuves of fdataobj
and fdata0
objects.
Manuel Febrero-Bande, Manuel Oviedo de la Fuente manuel.oviedo@usc.es
Ferraty, F. and Vieu, P. (2006). Nonparametric functional data analysis. Springer Series in Statistics, New York.
See Also as: cond.mode
and
cond.quantile
.
## Not run: # Read data n= 500 t= seq(0,1,len=101) beta = t*sin(2*pi*t)^2 x = matrix(NA, ncol=101, nrow=n) y=numeric(n) x0<-rproc2fdata(n,seq(0,1,len=101),sigma="wiener") x1<-rproc2fdata(n,seq(0,1,len=101),sigma=0.1) x<-x0*3+x1 fbeta = fdata(beta,t) y<-inprod.fdata(x,fbeta)+rnorm(n,sd=0.1) prx=x[1:100];pry=y[1:100] ind=101;ind2=102:110 pr0=x[ind];pr10=x[ind2,] ndist=61 gridy=seq(-1.598069,1.598069, len=ndist) # Conditional Function res1 = cond.F(pr10, gridy, prx, pry,p=1) res2 = cond.F(pr10, gridy, prx, pry,h=0.3) res3 = cond.F(pr10, gridy, prx, pry,g=0.25,h=0.3) plot(res1$Fc[,1],type="l",ylim=c(0,1)) lines(res2$Fc[,1],type="l",col=2) lines(res3$Fc[,1],type="l",col=3) ## End(Not run)
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