Question: mle is a function of sufficient statistics?
Answer: Proposition 5 (Relationship with sufficiency) MLE is a function of every sufficient statistic. ... From the factorization theorem of a sufficient statistic, the density function can be written as l (y; θ)=Ψ(S (y); θ) h (y) , i.e., L (y; θ) = log Ψ (S (y); θ) + log h (y) .