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

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

View source: R/P_ceq.R

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 D<c3><bc>mcke 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 D<c3><bc>mcke duemcke@mpipz.mpg.de

See Also

P_cge_ale, Pc_givena

Examples

1
P_ceq(10,1:10,25)

knnIndep documentation built on May 29, 2017, 4:26 p.m.