【摘要】 <正> Chen Guijing showed that for the onedimensional density functions satisfying λ-order Lipshitz conditions (λ∈（0,1]） the convergence rates of kernel estimates is of o (（]og n/n）^λ/2λ+1 log log n), and he conjectured that λ/2λ+1 cannot be improved （[2]）.In this paper we proved this conjecture being true.更多还原

【Abstract】 Chen Guijing showed that for the onedimensional density functions satisfying λ-order Lipshitz conditions (λ∈（0,1]） the convergence rates of kernel estimates is of o (（]og n/n）^λ/2λ+1 log log n), and he conjectured that λ/2λ+1 cannot be improved （[2]）.In this paper we proved this conjecture being true.更多还原