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Estimation of density functions by order statistics
Authors:B Barabás
Institution:(1) Budapesti Mumacrszaki Egyetem Építodblacmérnöki Kar, Matematikai Tanszék, H-1521 Budapest, Hungary
Abstract:The properties of the empirical density function,f n(x) = k/n(xgr j +xgr j-1 + ) ifxgr j-1 + < x le xgr+ wherexgr j-1 + andxgr j + are sample elements and there are exactlyk – 1 sample elements between them, are studied in that practical point of view how to choose a suitablek for a ldquogoodrdquo estimation. A bound is given for the expected value of the absolute value of difference between the empirical and theoretical density functions.
Keywords:Primary 62G05  Secondary 62G30
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