Limit Theorems for Runs Based on 'small Spacings'

dc.contributor.author Stepanov, A.
dc.date.accessioned 2023-06-16T14:11:41Z
dc.date.available 2023-06-16T14:11:41Z
dc.date.issued 2011
dc.description.abstract A new concept of runs was proposed in the work of Eryilmaz and Stepanov (2008). A sequence of spacings forms a run if the lengths of these spacings do not exceed epsilon > 0. In that paper, asymptotic properties of such spacings were investigated and statistical criteria proposed. In our present study, we maintain research on runs associated with these spacings. We derive limit theorems for the total number of runs, longest run and propose a statistical criterion. (C) 2010 Elsevier B.V. All rights reserved. en_US
dc.identifier.doi 10.1016/j.spl.2010.09.018
dc.identifier.issn 0167-7152
dc.identifier.issn 1879-2103
dc.identifier.scopus 2-s2.0-78549251693
dc.identifier.uri https://doi.org/10.1016/j.spl.2010.09.018
dc.identifier.uri https://hdl.handle.net/20.500.14365/1454
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.relation.ispartof Statıstıcs & Probabılıty Letters en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Order statistics en_US
dc.subject Spacings en_US
dc.subject Limit theorems en_US
dc.subject Hypothesis testing en_US
dc.subject Records en_US
dc.subject Number en_US
dc.title Limit Theorems for Runs Based on 'small Spacings' en_US
dc.type Article en_US
dspace.entity.type Publication
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gdc.description.department İzmir Ekonomi Üniversitesi en_US
gdc.description.departmenttemp Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey en_US
gdc.description.endpage 61 en_US
gdc.description.issue 1 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q3
gdc.description.startpage 54 en_US
gdc.description.volume 81 en_US
gdc.description.wosquality Q4
gdc.identifier.openalex W2090644884
gdc.identifier.wos WOS:000285673600008
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gdc.oaire.influence 2.7495672E-9
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gdc.oaire.keywords Order statistics; empirical distribution functions
gdc.oaire.keywords Central limit and other weak theorems
gdc.oaire.keywords Nonparametric hypothesis testing
gdc.oaire.popularity 5.7269406E-10
gdc.oaire.publicfunded false
gdc.oaire.sciencefields 0502 economics and business
gdc.oaire.sciencefields 05 social sciences
gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
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gdc.opencitations.count 2
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gdc.virtual.author Stepanov, Alexei
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