Limit distributions for sums of shrunken random variables

Zbigniew J. Jurek

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1981

Abstract

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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

How to cite

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Zbigniew J. Jurek. Limit distributions for sums of shrunken random variables. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1981. <http://eudml.org/doc/268380>.

@book{ZbigniewJ1981,
abstract = {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},
author = {Zbigniew J. Jurek},
keywords = {shrinking operation; s-self-decomposable; s-stable; s-semi-stable; infinitely divisible},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Limit distributions for sums of shrunken random variables},
url = {http://eudml.org/doc/268380},
year = {1981},
}

TY - BOOK
AU - Zbigniew J. Jurek
TI - Limit distributions for sums of shrunken random variables
PY - 1981
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - 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
LA - eng
KW - shrinking operation; s-self-decomposable; s-stable; s-semi-stable; infinitely divisible
UR - http://eudml.org/doc/268380
ER -

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