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Limit distributions for sums of shrunken random variables

100%

Jurek Z. J.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Introduction....................................................................................................................................................................... 5 Chapter 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........................................... 9 Chapter 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............................................................................................... 32 Chapter III. s-Stable and s-semi-stable distributions § 8. A characterization of s-stable distributions........................................................................................... 35 § 9. A characterization of s-semi-stable distributions......................................................................................... 40 References....................................................................................................................................................................... 46

A representation of the characteristic functions of stable distributions in Hilbert spaces

60%

Jurek Z. J.

Banach Center Publications

1979

tom 5

nr 1

151-158

Ograniczanie wyników

1 Banach Center Publications

2 Jurek Z. J.

1 1981

1 1979

Wyniki wyszukiwania

Limit distributions for sums of shrunken random variables

A representation of the characteristic functions of stable distributions in Hilbert spaces