P_ceq: Probability of observing the ith nearest neighbour at the...

Description Usage Arguments Details Value Author(s) See Also Examples

Description

This function gives the probability of observing the ith nearest neighbour distance larger or equal to c, and the (i-1)th nearest neighbour at distance c, $P(d_i >= c, d_(i-1) = c)$.

Usage

1
P_ceq(i, c, N)

Arguments

i

numeric, which nearest neighbour to consider

c

vector, the distance at which the ith NN was observed

N

numeric, size of the dataset

Details

The probability is calculated by ranking the data and assuming that the data lie on a torus. For details see Dümcke et al. "A novel test for independence derived from an exact distribution of ith nearest neighbours" (manuscript in preparation)

Value

Probability vector

Author(s)

Sebastian Dümcke duemcke@mpipz.mpg.de

See Also

P_cge_ale, Pc_givena

Examples

1
P_ceq(10,1:10,25)


Search within the knnIndep package
Search all R packages, documentation and source code

Questions? Problems? Suggestions? or email at ian@mutexlabs.com.

Please suggest features or report bugs with the GitHub issue tracker.

All documentation is copyright its authors; we didn't write any of that.