R: Shannon's Joint-Entropy H(X,Y)

JE {philentropy} | R Documentation

## Shannon's Joint-Entropy H(X,Y)

### Description

This funciton computes Shannon's Joint-Entropy H(X,Y) = - ∑ ∑ P(X,Y) * log2(P(X,Y)) based on a given joint-probability vector P(X,Y).

### Usage

    JE(x, unit = "log2")

### Arguments

`x` | a numeric joint-probability vector P(X,Y) for which Shannon's Joint-Entropy H(X,Y) shall be computed.
`unit` | a character string specifying the logarithm unit that shall be used to compute distances that depend on log computations.

### Value

a numeric value representing Shannon's Joint-Entropy in bit.

### Author(s)

Hajk-Georg Drost

### References

Shannon, Claude E. 1948. "A Mathematical Theory of Communication". Bell System Technical Journal 27 (3): 379-423.

### See Also

`H`, `CE`, `KL`, `JSD`, `gJSD`, `distance`

### Examples

    JE(1:100/sum(1:100))

[Package philentropy version 0.6.0 Index]