Let S be a Borel subset of Polish space and F the set bounded functions f:S→R. an(·)=P(Xn+1∈·∣X1,…,Xn) n-th predictive distribution corresponding to sequence (Xn) S-valued random variables. If is conditionally identically distributed, there probability measure μ on such that ∫fdan⟶a.s.∫fdμ for all f∈F. Define Dn(f)=dn∫fdan−∫fdμ f∈F, where dn>0 constant. In this note, it shown that, under som...