{g(Xm2Yn)-g(a,b)e∈{Xna+Ynb≥8 因此c{Xna28Jnb82, P{g(Xn2Yn)-g(a2b)≥≤ P{|Xna282}+P{Ynb≥2} >0,当n→ 亦即 lim Pig(n,n-g(a,b)K8=1 n→o11 lim {| ( , ) − ( , )| } = 1. → P g X Y g a b  n n n {|g(Xn ,Yn )−g(a,b)|}{|Xn−a|+|Yn−b|d} {|Xn−a|d/2}{|Yn−b|d/2}, 因此 P{|g(Xn ,Yn )−g(a,b)|} P{|Xn−a|d/2}+P{|Yn−b|d/2} →0, 当n→ 亦即