CONTENTSIntroduction....................................................................................................................................................................... 5Chapter I. Distributions of sums or infinitesimal random variables § 1. Notations, definitions and preliminary facts.......................................................................................... 6 § 2. Existence of limit distributions for sums of infinitesimal random variables........................................... 9Chapter II. s-Self-decomposable distributions § 3. Statement of the problem......................................................................................................................... 15 § 4. Norming sequences.......................................................................................................................................... 16 § 5. s-Self-decomposable distributions................................................................................................................ 19 § 6. An extreme point method.................................................................................................................................. 25 § 7. A representation of characteristic functionals............................................................................................... 32Chapter III. s-Stable and s-semi-stable distributions § 8. A characterization of s-stable distributions........................................................................................... 35 § 9. A characterization of s-semi-stable distributions......................................................................................... 40References....................................................................................................................................................................... 46
@book{bwmeta1.element.zamlynska-261b71b5-cbdd-48c5-8701-20c122c9d984,
author = {Zbigniew J. Jurek},
title = {Limit distributions for sums of shrunken random variables},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1981},
zbl = {0469.60008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-261b71b5-cbdd-48c5-8701-20c122c9d984}
}
Zbigniew J. Jurek. Limit distributions for sums of shrunken random variables. GDML_Books (1981), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-261b71b5-cbdd-48c5-8701-20c122c9d984/