Volume : 12, Issue : 1, JAN 2026

PARTIAL ATTRACTION, SEMI-STABLE LAWS, AND ITERATED LOGARITHM RESULTS: A SURVEY

GOOTY DIVANJI, KABELO MOSEKI

Abstract

The work surveys stable, semi-stable, and infinitely divisible laws, emphasizing domains of attraction and partial attraction. It highlights key results on limit theorems, especially laws of the iterated logarithm under power normalisation. Contributions include extensions to stable and semi-stable domains, subsequences, delayed sums, random sums, and related stochastic processes.

Keywords

STABLE, SEMI-STABLE, INFINITELY DIVISIBLE LAWS AND DOMAIN OF PARTIAL ATTRACTION.

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IESRJ

International Educational Scientific Research Journal

E-ISSN: 2455-295X

International Indexed Journal | Multi-Disciplinary Refereed Research Journal

ISSN: 2455-295X

Peer-Reviewed Journal - Equivalent to UGC Approved Journal

Peer-Reviewed Journal

Article No : 2

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