pcf.kern.quan R Documentation

## An estimator of a conditional quantile function

### Description

Computes the values of an estimator of a conditional quantile function on a regular grid.

### Usage

```pcf.kern.quan(x, y, h, N, p=0.5, kernel="gauss", support=NULL)
```

### Arguments

 `x` n*d data matrix; the matrix of the values of the explanatory variables `y` n vector; the values of the response variable `h` a positive real number; the smoothing parameter of the kernel estimate `N` vector of d positive integers; the number of grid points for each direction `p` 0

### Value

a piecewise constant function

### Author(s)

Jussi Klemela

`pcf.kernesti`,

### Examples

```n<-100
d<-2
x<-8*matrix(runif(n*d),n,d)-3
C<-(2*pi)^(-d/2)
phi<-function(x){ return( C*exp(-sum(x^2)/2) ) }
D<-3; c1<-c(0,0); c2<-D*c(1,0); c3<-D*c(1/2,sqrt(3)/2)
func<-function(x){phi(x-c1)+phi(x-c2)+phi(x-c3)}
y<-matrix(0,n,1)
for (i in 1:n) y[i]<-func(x[i,])+0.01*rnorm(1)

num<-30  # number of grid points in one direction
pcf<-pcf.kern.quan(x,y,h=0.5,N=c(num,num))

dp<-draw.pcf(pcf,minval=min(y))
persp(dp\$x,dp\$y,dp\$z,phi=30,theta=-30)
contour(dp\$x,dp\$y,dp\$z,nlevels=30)
```