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

Source: R/JE.R

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

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.

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

Author

Hajk-Georg Drost

Examples


JE(1:100/sum(1:100))
#> [1] 6.372236