Asymptotics for the Moment Convergence of <inline-formula> <graphic file="1029-242X-2010-350517-i1.gif"/></inline-formula>-Statistics in LIL

Asymptotics for the Moment Convergence of <inline-formula> <graphic file="1029-242X-2010-350517-i1.gif"/></inline-formula>-Statistics in LIL

<p/> <p>Let <inline-formula> <graphic file="1029-242X-2010-350517-i2.gif"/></inline-formula> be a <inline-formula> <graphic file="1029-242X-2010-350517-i3.gif"/></inline-formula>-statistic based on a symmetric kernel <inline-form...

Full description

Bibliographic Details
Main Author: Fu Ke-Ang
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/350517
id doaj-e4e588a5b19f449cb6d82bf1ea518f81
record_format Article
spelling doaj-e4e588a5b19f449cb6d82bf1ea518f812020-11-25T00:24:17ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101350517Asymptotics for the Moment Convergence of <inline-formula> <graphic file="1029-242X-2010-350517-i1.gif"/></inline-formula>-Statistics in LILFu Ke-Ang<p/> <p>Let <inline-formula> <graphic file="1029-242X-2010-350517-i2.gif"/></inline-formula> be a <inline-formula> <graphic file="1029-242X-2010-350517-i3.gif"/></inline-formula>-statistic based on a symmetric kernel <inline-formula> <graphic file="1029-242X-2010-350517-i4.gif"/></inline-formula> and i.i.d. samples <inline-formula> <graphic file="1029-242X-2010-350517-i5.gif"/></inline-formula>. In this paper, the exact moment convergence rates in the law of the iterated logarithm and the law of the logarithm of <inline-formula> <graphic file="1029-242X-2010-350517-i6.gif"/></inline-formula> are obtained, which extend previous results concerning partial sums.</p>http://www.journalofinequalitiesandapplications.com/content/2010/350517
collection DOAJ
language English
format Article
sources DOAJ
author Fu Ke-Ang
spellingShingle Fu Ke-Ang
Asymptotics for the Moment Convergence of <inline-formula> <graphic file="1029-242X-2010-350517-i1.gif"/></inline-formula>-Statistics in LIL
Journal of Inequalities and Applications
author_facet Fu Ke-Ang
author_sort Fu Ke-Ang
title Asymptotics for the Moment Convergence of <inline-formula> <graphic file="1029-242X-2010-350517-i1.gif"/></inline-formula>-Statistics in LIL
title_short Asymptotics for the Moment Convergence of <inline-formula> <graphic file="1029-242X-2010-350517-i1.gif"/></inline-formula>-Statistics in LIL
title_full Asymptotics for the Moment Convergence of <inline-formula> <graphic file="1029-242X-2010-350517-i1.gif"/></inline-formula>-Statistics in LIL
title_fullStr Asymptotics for the Moment Convergence of <inline-formula> <graphic file="1029-242X-2010-350517-i1.gif"/></inline-formula>-Statistics in LIL
title_full_unstemmed Asymptotics for the Moment Convergence of <inline-formula> <graphic file="1029-242X-2010-350517-i1.gif"/></inline-formula>-Statistics in LIL
title_sort asymptotics for the moment convergence of <inline-formula> <graphic file="1029-242x-2010-350517-i1.gif"/></inline-formula>-statistics in lil
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description <p/> <p>Let <inline-formula> <graphic file="1029-242X-2010-350517-i2.gif"/></inline-formula> be a <inline-formula> <graphic file="1029-242X-2010-350517-i3.gif"/></inline-formula>-statistic based on a symmetric kernel <inline-formula> <graphic file="1029-242X-2010-350517-i4.gif"/></inline-formula> and i.i.d. samples <inline-formula> <graphic file="1029-242X-2010-350517-i5.gif"/></inline-formula>. In this paper, the exact moment convergence rates in the law of the iterated logarithm and the law of the logarithm of <inline-formula> <graphic file="1029-242X-2010-350517-i6.gif"/></inline-formula> are obtained, which extend previous results concerning partial sums.</p>
url http://www.journalofinequalitiesandapplications.com/content/2010/350517
work_keys_str_mv AT fukeang asymptoticsforthemomentconvergenceofinlineformulagraphicfile1029242x2010350517i1gifinlineformulastatisticsinlil
_version_ 1725352880137830400

Similar Items