Pc_givena4nn: Probability of observing the ith nearest neighbour at...
In knnIndep: Independence tests and benchmarks

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

This function gives the probability of observing the ith nearest neighbour at distance c given the previous 4 nearest neighbour distances, $P(d_i >= x | d_(i-1), d_(i-2), d_(i-3), d_(i-4))$

1	Pc_givena4nn(i, c, a, k1, k2, N)

`i`	numeric, which nearest neighbour to consider
`c`	vector, the distance at which the ith NN was observed
`a`	vector, the distance at which the (i-1)th NN was observed, a <= c
`k1`	vector, number of previous neighbhour at distance d_i
`k2`	vector, number of preivous neighbhours at distance d_(i-1)
`N`	numeric, size of the dataset

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" (PLoS ONE 2014)

Probability vector

Sebastian Dümcke duemcke@mpipz.mpg.de

P_cge_ale, P_ceq