Tail properties and approximate distribution and expansion for extreme of LGMD

We introduce logarithmic generalized Maxwell distribution motivated by Vodă (Math. Rep. 11:171-179, 2009), which is an extension of the generalized Maxwell distribution. Some interesting properties of this distribution are studied and the asymptotic distribution of the partial maximum of an i.i.d. s...

Descripción completa

Detalles Bibliográficos
Autores principales: Huang, Jianwen, Wang, Jianjun, Luo, Guowang, He, Jun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5310591/
https://www.ncbi.nlm.nih.gov/pubmed/28255207
http://dx.doi.org/10.1186/s13660-017-1316-0
_version_ 1782507897295470592
author Huang, Jianwen
Wang, Jianjun
Luo, Guowang
He, Jun
author_facet Huang, Jianwen
Wang, Jianjun
Luo, Guowang
He, Jun
author_sort Huang, Jianwen
collection PubMed
description We introduce logarithmic generalized Maxwell distribution motivated by Vodă (Math. Rep. 11:171-179, 2009), which is an extension of the generalized Maxwell distribution. Some interesting properties of this distribution are studied and the asymptotic distribution of the partial maximum of an i.i.d. sequence from the logarithmic generalized Maxwell distribution is gained. The expansion of the limit distribution from the normalized maxima is established under the optimal norming constants, which shows the rate of convergence of the distribution for normalized maximum to the extreme limit.
format Online
Article
Text
id pubmed-5310591
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-53105912017-02-28 Tail properties and approximate distribution and expansion for extreme of LGMD Huang, Jianwen Wang, Jianjun Luo, Guowang He, Jun J Inequal Appl Research We introduce logarithmic generalized Maxwell distribution motivated by Vodă (Math. Rep. 11:171-179, 2009), which is an extension of the generalized Maxwell distribution. Some interesting properties of this distribution are studied and the asymptotic distribution of the partial maximum of an i.i.d. sequence from the logarithmic generalized Maxwell distribution is gained. The expansion of the limit distribution from the normalized maxima is established under the optimal norming constants, which shows the rate of convergence of the distribution for normalized maximum to the extreme limit. Springer International Publishing 2017-02-15 2017 /pmc/articles/PMC5310591/ /pubmed/28255207 http://dx.doi.org/10.1186/s13660-017-1316-0 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Huang, Jianwen
Wang, Jianjun
Luo, Guowang
He, Jun
Tail properties and approximate distribution and expansion for extreme of LGMD
title Tail properties and approximate distribution and expansion for extreme of LGMD
title_full Tail properties and approximate distribution and expansion for extreme of LGMD
title_fullStr Tail properties and approximate distribution and expansion for extreme of LGMD
title_full_unstemmed Tail properties and approximate distribution and expansion for extreme of LGMD
title_short Tail properties and approximate distribution and expansion for extreme of LGMD
title_sort tail properties and approximate distribution and expansion for extreme of lgmd
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5310591/
https://www.ncbi.nlm.nih.gov/pubmed/28255207
http://dx.doi.org/10.1186/s13660-017-1316-0
work_keys_str_mv AT huangjianwen tailpropertiesandapproximatedistributionandexpansionforextremeoflgmd
AT wangjianjun tailpropertiesandapproximatedistributionandexpansionforextremeoflgmd
AT luoguowang tailpropertiesandapproximatedistributionandexpansionforextremeoflgmd
AT hejun tailpropertiesandapproximatedistributionandexpansionforextremeoflgmd

Ejemplares similares