P_cge_ale: Probability of observing the ith nearest neighbour at a...

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

Description

This function gives the probability of observing the ith nearest neighbour at a distance greater or equal to c and the (i-1)th nearest neighbour was observed at distance smaller or equal a $P(d_i >= c, d_(i-1) <= a)$

Usage

1
P_cge_ale(i, c, a, N)

Arguments

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 ith NN was observed. a <= c

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, entries with value -1 if the probability does not exist

Author(s)

Sebastian Dümcke duemcke@mpipz.mpg.de

See Also

P_ceq, Pc_givena

Examples

1
P_cge_ale(10,4:8,2:6,30)


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