Conditional mutual information of a 3-D joint pmf

$$I(X;Y|Z) = H(X,Z) + H(Y,Z) - H(X,Y,Z) - H(Z)$$ Cover & Thomas (2006), eq. (2.60)-(2.61), p. 23.

Usage

Cndmi(pxyz, base = 2)

Arguments

pxyz: Joint pmf as a 3-D array or nested list; normalised here.
base: Log base; 2 gives bits.

Value

Named list with estimate, hxz, hyz, hxyz, hz, n, method.

References

Cover & Thomas (2006), eq. (2.60).

Examples

V <- c(1, 2, 3, 4, 5, 6, 7, 8)
Cndmi(V)
#> $estimate
#> [1] 0
#> 
#> $hxz
#> [1] 2.794209
#> 
#> $hyz
#> [1] 0
#> 
#> $hxyz
#> [1] 2.794209
#> 
#> $hz
#> [1] 0
#> 
#> $n
#> [1] 8
#> 
#> $method
#> [1] "Conditional mutual information I(X;Y|Z) -- Cover & Thomas (2006) eq. (2.60)"
#>