R: Expected value of the number of times a fixed point cluster...

clusexpect {fpc} | R Documentation

## 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.

### 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).

### Value

A number.

### Author(s)

Christian Hennig c.hennig@ucl.ac.uk http://www.homepages.ucl.ac.uk/~ucakche/

### References

Hennig, C. (2002) Fixed point clusters for linear regression: computation and comparison, Journal of Classification 19, 249-276.

### See Also

`fixreg`

### Examples

      round(clusexpect(500,4,150,2000),digits=2)

[Package fpc version 2.1-10 Index]