Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 1997-10-01 Number: 97-100/4 Author-Name: Laurens F.M. de Haan Author-Name: Liang Peng Author-Workplace-Name: Erasmus University Rotterdam Author-Name: H. Iglesias Pereira Author-Workplace-Name: University of Lisbon Title: Approximation by Penultimate Stable Laws Abstract: In certain cases partial sums of i.i.d. random variables with finite variance are better approximated by asequence of stable distributions with indices alpha_n o 2 than by a normal distribution. We discusswhen this happens and how much the convergence rate can be improved by using penultimateapproximations. Similar results are valid for other stable distributions. File-Url: https://papers.tinbergen.nl/97100.pdf File-Format: application/pdf File-Size: 273522 bytes Handle: RePEc:tin:wpaper:19970100