# Statistics - log-likelihood function (cross-entropy)

The “log-likelihood function” is a probabilistic function.

$$\sum_{i=1}^{N}(1-X_i^i)log(1-Pr[1|B_1^1,B_2^2,\dots,B_k^k])+X_i^i.log(Pr[1|B_1^1,B_2^2,\dots,B_k^k])$$

The “log-likelihood function” is also referred to as the cross-entropy