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Volume :29 Issue : 1 2002
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Extreme order statistics under power normalization and random sample size
Auther : H.M. BARAKAT AND E. M. N1GM
Department of Mathematics, Faculty of Science, Zagazig Univ., Zagazig, Egypt. e-mail: hbarakal2@hotmail.com
ABSTRACT
The present work deals with the weak convergence of the extreme order statitistics 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 normalization and when the interrelation between the basic variables and the
size is not restricted.
Key words: P-max stable laws: power normalization; sample of random size, weak convergence.