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
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author Algimantas Aksomaitis
author_facet Algimantas Aksomaitis
author_sort Algimantas Aksomaitis
collection DOAJ
description 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.
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spelling doaj.art-7ac05d6bc2f5436686e6bc7e8cbea4242024-04-23T09:02:02ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2004-12-0144spec.10.15388/LMR.2004.32271About the geometrical stability of the marginal terms in variation seriesAlgimantas Aksomaitis0Kaunas University of Technology 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. https://www.journals.vu.lt/LMR/article/view/32271extreme valuerate of convergencemax-geometric stability
spellingShingle Algimantas Aksomaitis
About the geometrical stability of the marginal terms in variation series
Lietuvos Matematikos Rinkinys
extreme value
rate of convergence
max-geometric stability
title About the geometrical stability of the marginal terms in variation series
title_full About the geometrical stability of the marginal terms in variation series
title_fullStr About the geometrical stability of the marginal terms in variation series
title_full_unstemmed About the geometrical stability of the marginal terms in variation series
title_short About the geometrical stability of the marginal terms in variation series
title_sort about the geometrical stability of the marginal terms in variation series
topic extreme value
rate of convergence
max-geometric stability
url https://www.journals.vu.lt/LMR/article/view/32271
work_keys_str_mv AT algimantasaksomaitis aboutthegeometricalstabilityofthemarginaltermsinvariationseries