Almost sure central limit theorem for products of sums of partial sums

Considering a sequence of i.i.d. positive random variables, for products of sums of partial sums we establish an almost sure central limit theorem, which holds for some class of unbounded measurable functions.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Journal of inequalities and applications 2016-02, Vol.2016 (1), p.1-12, Article 49
Hauptverfasser:	Feng, Fengxiang, Wang, Dingcheng
Format:	Artikel
Sprache:	eng
Schlagworte:	almost sure central limit theorem Analysis Applications of Mathematics Inequalities Mathematics Mathematics and Statistics products of sums of partial sums Random variables Sums Theorems unbounded measurable functions
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	Considering a sequence of i.i.d. positive random variables, for products of sums of partial sums we establish an almost sure central limit theorem, which holds for some class of unbounded measurable functions.
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/s13660-016-0995-2