density2d {fMultivar} | R Documentation |
Grid generator, kernel density estimator, histogram counter, and integrator for bivariate distributions
grid2d(x = (0:10)/10, y = x) density2d(x, y = NULL, n = 20, h = NULL, limits = c(range(x), range(y))) hist2d(x, y = NULL, n = c(20, 20)) integrate2d(fun, error = 1.0e-5, ...)
error |
the error bound to be achieved by the integration formula. A numeric value. |
fun |
the function to be integrated. The first argument requests the x values, the second the y values, and the remaining are reserved for additional parameters. The integration is over the unit square "[0,1]^2". |
h |
a vector of bandwidths for x and y directions.
Defaults to normal reference bandwidth.
|
limits |
the limits of the rectangle covered by the grid. |
n |
n - an integer specifying the number of grid points in each
direction. The default value is 20. [hist2D] - In this case n may be a scalar or a two element vector.
The default value is 20.[rnorm2d] - the number of random deviates to be generated, an integer value. |
x, y |
two numeric vectors defining the x and y coordinates. [density2D][hist2D] - two vectors of coordinates of data. If y is NULL then
x is assumed to be a two column matrix, where the first
column contains the x data, and the second column the
y data.
|
... |
parameters passed to the function to be integrated. |
grid2d
returns a list with two vectors named $x
and $y
spanning
the grid defined by the coordinate vectors x
and y
.
density2d
hist2d
returns a list with three elements $x
, $y
, and
$z
. x
and y
are vectors spanning the two
dimensional grid and z
the corresponding matrix. The
output can directly serve as input to the plotting functions
image
, contour
and persp
.
integrate2d
returns a list with the $value
of the integral over the
unit square [0,1]^2, an $error
estimate and the number
of grid $points
used by the integration function.
W.N. Venables and B.D. Ripley for the underlying kde2d function,
Gregory R. Warnes for the underlying hist2d function,
Diethelm Wuertz for the Rmetrics R-port.
Azzalini A., (2004); The sn Package; R Reference Guide available from www.r-project.org.
Venables W.N., Ripley B.D., (2002); Modern Applied Statistics with S, Fourth Edition, Springer.
Warnes G.R., (2004); The gregmisc Package; R Reference Guide available from www.r-project.org.