clusexpect: Expected value of the number of times a fixed point
cluster is found
Description
A rough approximation of the expectation of the number of times a well
separated fixed point
cluster (FPC) of size n is found in ir fixed point
iterations of fixreg.
Usage
clusexpect(n, p, cn, ir)
Arguments
n
positive integer. Total number of points.
p
positive integer. Number of independent variables.
cn
positive integer smaller or equal to n.
Size of the FPC.
ir
positive integer. Number of fixed point iterations.
Value
A number.
Details
The approximation is based on the assumption that a well separated FPC
is found iff all p+2 points of the initial coinfiguration come
from the FPC. The value is ir times the probability for
this. For a discussion of this assumption cf. Hennig (2002).
References
Hennig, C. (2002) Fixed point clusters for linear regression:
computation and comparison, Journal of
Classification 19, 249-276.