rcellnumber: Generate Random Numbers of Points for Cell Process

In spatstat.random: Random Generation Functionality for the 'spatstat' Family

Generate Random Numbers of Points for Cell Process

Description

Generates random integers for the Baddeley-Silverman counterexample.

Usage

 rcellnumber(n, N = 10, mu=1)

Arguments

n	Number of random integers to be generated.
N	Distributional parameter: the largest possible value (when mu <= 1). An integer greater than 1.
mu	Mean of the distribution (equals the variance). Any positive real number.

Details

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).

Value

An integer vector of length n.

Author(s)

\spatstatAuthors

.

References

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.

See Also

rcell

Examples

   rcellnumber(30, 3)

spatstat.random documentation built on Sept. 30, 2024, 9:46 a.m.