Limit Distributions of Norms of Vectors of Positive i.i.d. Random Variables

This paper aims to combine the central limit theorem with the limit theorems in extreme value theory through a parametrized class of limit theorems where the former ones appear as special cases. To this end the limit distributions of suitably centered and normalized lcp(n)-norms of n-vectors of posi...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:The Annals of Probability. - Institute of Mathematical Statistics. - 29(2001), 2, Seite 862-881
1. Verfasser: Schlather, Martin (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2001
Zugriff auf das übergeordnete Werk:The Annals of Probability
Schlagworte:Central Limit Theorem Extreme Value Theory i.i.d. Positive Random Variables lp-Norm Limit Theorems Normal Distribution Mathematics Applied sciences Philosophy