THE CONVERGENCE RATES OF ASYMPTOTICALLY BAYES DISCRIMINATION

§1. Introduction and Main Results Let (X,θ), (X_1, θ~1), …, (X_n, θ_n) be R~d×{0, 1} valued independent identically distributed (iid) random variables (r. v.), with P (θ=1)=P_1 and P(θ=0)=p0=1-p1. Let the conditional density function of X given θ=i be f_i(x)dx, i=0, 1. (X_1, θ_1), …, (X_n, θ_n) are known