Volume 7, March 2003
|Page(s)||209 - 218|
|Published online||15 May 2003|
Moderate Deviations for I.I.D. Random Variables
Fakultät für Mathematik, NA3/68, 44780 Bochum, Germany; firstname.lastname@example.org.
2 Department of Mathematics, University of Nijmegen, Toernooiveld 1, 6525 ED Nijmegen, The Netherlands; email@example.com.
Revised: 10 July 2002
We derive necessary and sufficient conditions for a sum of i.i.d. random variables – where , but – to satisfy a moderate deviations principle. Moreover we show that this equivalence is a typical moderate deviations phenomenon. It is not true in a large deviations regime.
Mathematics Subject Classification: 60F10
Key words: Moderate deviations / large deviations.
© EDP Sciences, SMAI, 2003
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