locpoly {KernSmooth}  R Documentation 
Estimates a probability density function, regression function or their derivatives using local polynomials. A fast binned implementation over an equallyspaced grid is used.
locpoly(x, y, drv = 0, degree =, kernel = "normal", bandwidth, gridsize = 401, bwdisc = 25, range.x, binned = FALSE, truncate = TRUE)
x 
vector of x data. Missing values are not accepted. 
bandwidth 
the kernel bandwidth smoothing parameter.
It may be a single number or an array having
length gridsize , representing a bandwidth
that varies according to the location of
estimation.

y 
vector of y data.
This must be same length as x , and
missing values are not accepted.

drv 
order of derivative to be estimated. 
degree 
degree of local polynomial used. Its value
must be greater than or equal to the value
of drv . The default value is of degree is
drv + 1.

kernel 
"normal"  the Gaussian density function.

gridsize 
number of equallyspaced grid points over which the function is to be estimated. 
bwdisc 
number of logarithmicallyequallyspaced bandwidths
on which bandwidth is discretised, to speed up
computation.

range.x 
vector containing the minimum and maximum values of x at which to
compute the estimate.

binned 
logical flag: if TRUE , then x and y are taken to be grid counts
rather than raw data.

truncate 
logical flag: if TRUE , data with x values outside the range specified
by range.x are ignored.

if y
is specified, a local polynomial regression estimate of
E[YX] (or its derivative) is computed.
If y
is missing, a local polynomial estimate of the density
of x
(or its derivative) is computed.
a list containing the following components:
x 
vector of sorted x values at which the estimate was computed. 
y 
vector of smoothed estimates for either the density or the regression
at the corresponding x .

Local polynomial fitting with a kernel weight is used to
estimate either a density, regression function or their
derivatives. In the case of density estimation, the
data are binned and the local fitting procedure is applied to
the bin counts. In either case, binned approximations over
an equallyspaced grid is used for fast computation. The
bandwidth may be either scalar or a vector of length
gridsize
.
Wand, M. P. and Jones, M. C. (1995). Kernel Smoothing. Chapman and Hall, London.
bkde
, density
, dpill
,
ksmooth
, loess
, smooth
,
supsmu
.
data(geyser, package = "MASS") x < geyser$duration est < locpoly(x, bandwidth = 0.25) plot(est, type = "l") # local linear density estimate y < geyser$waiting plot(x, y) fit < locpoly(x, y, bandwidth = 0.25) lines(fit) # local linear regression estimate