RESEARCH ANNOUNCEMENTS ON 'MODERATE DEVIATIONS FOR GRENANDER ESTIMATOR NEAR BOUNDARIES OF THE SUPPORT'

摘要

1 Introduction and Main Results Let f be a decreasing density with support[0,∞).Denote by Fn the empirical distribution function of a sample X_(1),...,X_(n) from f.Let F_(n) be the concave majorant of F_(n) on[0,∞),i.e.