Extreme order statistics under power normalization and random sample size

Faculty Science Year: 2002
Type of Publication: Article Pages: 27-41
Authors:
BARAKAT, HM, NIGM, EM
Journal: KUWAIT JOURNAL OF SCIENCE \& ENGINEERING ACADEMIC PUBLICATION COUNCIL Volume: 29
Research Area: Science \& Technology - Other Topics ISSN ISI:000182148900003
Keywords : P-max stable laws, power normalization, sample of random size, weak convergence    
Abstract:
The present work deals with the weak convergence of the extreme order statistics under power normalization when the sample size itself is a random variable. The convergence conditions as well as the limit forms are obtained under nonrandom power normalization and when the interrelation between the basic variables and the random size is not restricted.
    
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