About the geometrical stability of the marginal terms in variation series

It was proved that the logistic minimum is geometrically min-stable, positional statistics  X(kN) ,  k > 1 are not geometrically stable, common minimum and maximum distributions are not asimptotically indepen­dent as the sample size is geometrical.

Bibliographic Details
Main Author: Algimantas Aksomaitis
Format: Article
Language:English
Published: Vilnius University Press 2004-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/32271
Description
Summary:It was proved that the logistic minimum is geometrically min-stable, positional statistics  X(kN) ,  k > 1 are not geometrically stable, common minimum and maximum distributions are not asimptotically indepen­dent as the sample size is geometrical.
ISSN:0132-2818
2335-898X