[Show abstract][Hide abstract] ABSTRACT: The goal is to prove large deviations limit theorems for statistics, which are based on kernel density estimator and which are designed for symmetry testing. The formulas for the rate functions of the pointwise difference and the uniform norm of the difference are expressed in terms of the underlying density function and their asymptotics are found.
Statistics [?] Probability Letters 01/2001; 54(4):363-371. · 0.53 Impact Factor