Template-Type: ReDIF-Paper 1.0 Author-Name: Koning, A.J. Author-Name-Last: Koning Author-Name-First: Alex Author-Name: Peng, L. Author-Name-Last: Peng Author-Name-First: Liang Title: Goodness-of-fit tests for a heavy tailed distribution Abstract: For testing whether a distribution function is heavy tailed, we study the Kolmogorov test, Berk-Jones test, score test and their integrated versions. A comparison is conducted via Bahadur efficiency and simulations. The score test and the integrated score test show the best performance. Although the Berk-Jones test is more powerful than the Kolmogorov-Smirnov test, this does not hold true for their integrated versions; this differs from results in \\citet{EinmahlMckeague2003}, which shows the difference of Berk-Jones test in testing distributions and tails. Creation-Date: 2005-11-07 File-URL: https://repub.eur.nl/pub/7031/EI200544.pdf File-Format: application/pdf Series: RePEc:ems:eureir Number: EI 2005-44 Keywords: Bahadur efficiency, heavy tail, tail index Handle: RePEc:ems:eureir:7031