rDGS(beta, rho, W = owin(), expand=TRUE, nsim=1, drop=TRUE)
"owin"
) in which to
generate the random pattern.FALSE
, simulation is performed
in the window W
, which must be rectangular.
If TRUE
(the default), simulation is performed
on a larger window, and the result is clipped to the original
windnsim=1
and drop=TRUE
(the default), the
result will be a point pattern, rather than a list
containing a point pattern.W
using a Diggle, Gates and Stibbard (1987) proposed a pairwise interaction point process in which each pair of points separated by a distance $d$ contributes a factor $e(d)$ to the probability density, where $$e(d) = \sin^2\left(\frac{\pi d}{2\rho}\right)$$ for $d < \rho$, and $e(d)$ is equal to 1 for $d \ge \rho$.
The simulation algorithm used to generate the point pattern
is rmh
, whose output
is only approximately correct).
There is a tiny chance that the algorithm will
run out of space before it has terminated. If this occurs, an error
message will be generated.
}
nsim = 1
, a point pattern (object of class "ppp"
).
If nsim > 1
, a list of point patterns.
Berthelsen, K.K. and
Diggle, P.J., Gates, D.J., and Stibbard, A. (1987) A nonparametric estimator for pairwise-interaction point processes. Biometrika 74, 763 -- 770. Scandinavian Journal of Statistics 21, 359--373.
rmh
,
DiggleGatesStibbard
.
rStrauss
,
rHardcore
,
rStraussHard
,
rDiggleGratton
,
rPenttinen
.