Han, Chirok; Cho, Jin Seo; Phillips, Peter C.B. - Cowles Foundation for Research in Economics, Yale University - 2009
Statistics are developed to test for the presence of an asymptotic discontinuity (or infinite density or peakedness) in a probability density at the median. The approach makes use of work by Knight (1998) on L_1 estimation asymptotics in conjunction with non-parametric kernel density estimation...