neyman_chi_sq: Neyman chi-squared distance (lowlevel function)

In philentropy: Similarity and Distance Quantification Between Probability Functions

Neyman chi-squared distance (lowlevel function)

Description

The lowlevel function for computing the neyman_chi_sq distance.

Usage

neyman_chi_sq(P, Q, testNA, epsilon)

Arguments

P	a numeric vector storing the first distribution.
Q	a numeric vector storing the second distribution.
testNA	a logical value indicating whether or not distributions shall be checked for NA values.
epsilon	epsilon a small value to address cases in the distance computation where division by zero occurs. In these cases, x / 0 or 0 / 0 will be replaced by epsilon. The default is epsilon = 0.00001. However, we recommend to choose a custom epsilon value depending on the size of the input vectors, the expected similarity between compared probability density functions and whether or not many 0 values are present within the compared vectors. As a rough rule of thumb we suggest that when dealing with very large input vectors which are very similar and contain many 0 values, the epsilon value should be set even smaller (e.g. epsilon = 0.000000001), whereas when vector sizes are small or distributions very divergent then higher epsilon values may also be appropriate (e.g. epsilon = 0.01). Addressing this epsilon issue is important to avoid cases where distance metrics return negative values which are not defined and only occur due to the technical issues of computing x / 0 or 0 / 0 cases.

Author(s)

Hajk-Georg Drost

Examples

neyman_chi_sq(P = 1:10/sum(1:10), Q = 20:29/sum(20:29),
 testNA = FALSE, epsilon = 0.00001)

philentropy documentation built on May 29, 2024, 1:11 a.m.