Generates random integers for the Baddeley-Silverman counterexample.
rcellnumber(n, N = 10, mu=1)An integer vector of length n.
Number of random integers to be generated.
Distributional parameter: the largest possible value
(when mu <= 1).
An integer greater than 1.
Mean of the distribution (equals the variance). Any positive real number.
Adrian Baddeley Adrian.Baddeley@curtin.edu.au, Rolf Turner rolfturner@posteo.net and Ege Rubak rubak@math.aau.dk.
If mu = 1 (the default),
this function generates random integers which have mean and variance
equal to 1, but which do not have a Poisson distribution.
The random integers take the values \(0\), \(1\) and \(N\)
with probabilities \(1/N\), \((N-2)/(N-1)\) and \(1/(N(N-1))\)
respectively.
See Baddeley and Silverman (1984).
If mu is another positive number, the random integers will
have mean and variance equal to mu. They are obtained by
generating the
one-dimensional counterpart of the cell process and counting the
number of points in the interval from 0 to mu. The
maximum possible value of each random integer is N * ceiling(mu).
Baddeley, A.J. and Silverman, B.W. (1984) A cautionary example on the use of second-order methods for analyzing point patterns. Biometrics 40, 1089-1094.
rcell