Extension of the one-sample Kolmogorov-Smirnov test
We propose here a new goodness-of-fit test, named the one-sample OVL-q test (q = 1, 2, . . .), which can be considered an extension of the one-sample Kolmogorov-Smirnov test (equivalent to the one-sample OVL-1 test). We have analyzed the asymptotic properties of the one-sample OVL-2 test statistic a...
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| creator | Komaba, Atsushi Johno, Hisashi Nakamoto, Kazunori |
| description | We propose here a new goodness-of-fit test, named the one-sample OVL-q test
(q = 1, 2, . . .), which can be considered an extension of the one-sample
Kolmogorov-Smirnov test (equivalent to the one-sample OVL-1 test). We have
analyzed the asymptotic properties of the one-sample OVL-2 test statistic and
enabled the calculation of asymptotic p-values for the test statistic. We
further conducted numerical experiments and demonstrated that the one-sample
OVL-2 test can sometimes exceed the detection power of conventional
goodness-of-fit tests. |
| doi_str_mv | 10.48550/arxiv.2408.10612 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2408_10612</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2408_10612</sourcerecordid><originalsourceid>FETCH-arxiv_primary_2408_106123</originalsourceid><addsrcrecordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjGw0DM0MDM04mQwdq0oSc0rzszPU8hPUyjJSFXIz0vVLU7MLchJVfDOz8nNT88vyi_TDc7NLMrLL1MoSS0u4WFgTUvMKU7lhdLcDPJuriHOHrpg4-MLijJzE4sq40HWxIOtMSasAgAJ6zId</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Extension of the one-sample Kolmogorov-Smirnov test</title><source>arXiv.org</source><creator>Komaba, Atsushi ; Johno, Hisashi ; Nakamoto, Kazunori</creator><creatorcontrib>Komaba, Atsushi ; Johno, Hisashi ; Nakamoto, Kazunori</creatorcontrib><description>We propose here a new goodness-of-fit test, named the one-sample OVL-q test
(q = 1, 2, . . .), which can be considered an extension of the one-sample
Kolmogorov-Smirnov test (equivalent to the one-sample OVL-1 test). We have
analyzed the asymptotic properties of the one-sample OVL-2 test statistic and
enabled the calculation of asymptotic p-values for the test statistic. We
further conducted numerical experiments and demonstrated that the one-sample
OVL-2 test can sometimes exceed the detection power of conventional
goodness-of-fit tests.</description><identifier>DOI: 10.48550/arxiv.2408.10612</identifier><language>eng</language><subject>Mathematics - Statistics Theory ; Statistics - Theory</subject><creationdate>2024-08</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2408.10612$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2408.10612$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Komaba, Atsushi</creatorcontrib><creatorcontrib>Johno, Hisashi</creatorcontrib><creatorcontrib>Nakamoto, Kazunori</creatorcontrib><title>Extension of the one-sample Kolmogorov-Smirnov test</title><description>We propose here a new goodness-of-fit test, named the one-sample OVL-q test
(q = 1, 2, . . .), which can be considered an extension of the one-sample
Kolmogorov-Smirnov test (equivalent to the one-sample OVL-1 test). We have
analyzed the asymptotic properties of the one-sample OVL-2 test statistic and
enabled the calculation of asymptotic p-values for the test statistic. We
further conducted numerical experiments and demonstrated that the one-sample
OVL-2 test can sometimes exceed the detection power of conventional
goodness-of-fit tests.</description><subject>Mathematics - Statistics Theory</subject><subject>Statistics - Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjGw0DM0MDM04mQwdq0oSc0rzszPU8hPUyjJSFXIz0vVLU7MLchJVfDOz8nNT88vyi_TDc7NLMrLL1MoSS0u4WFgTUvMKU7lhdLcDPJuriHOHrpg4-MLijJzE4sq40HWxIOtMSasAgAJ6zId</recordid><startdate>20240820</startdate><enddate>20240820</enddate><creator>Komaba, Atsushi</creator><creator>Johno, Hisashi</creator><creator>Nakamoto, Kazunori</creator><scope>AKZ</scope><scope>EPD</scope><scope>GOX</scope></search><sort><creationdate>20240820</creationdate><title>Extension of the one-sample Kolmogorov-Smirnov test</title><author>Komaba, Atsushi ; Johno, Hisashi ; Nakamoto, Kazunori</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2408_106123</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Statistics Theory</topic><topic>Statistics - Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Komaba, Atsushi</creatorcontrib><creatorcontrib>Johno, Hisashi</creatorcontrib><creatorcontrib>Nakamoto, Kazunori</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv Statistics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Komaba, Atsushi</au><au>Johno, Hisashi</au><au>Nakamoto, Kazunori</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Extension of the one-sample Kolmogorov-Smirnov test</atitle><date>2024-08-20</date><risdate>2024</risdate><abstract>We propose here a new goodness-of-fit test, named the one-sample OVL-q test
(q = 1, 2, . . .), which can be considered an extension of the one-sample
Kolmogorov-Smirnov test (equivalent to the one-sample OVL-1 test). We have
analyzed the asymptotic properties of the one-sample OVL-2 test statistic and
enabled the calculation of asymptotic p-values for the test statistic. We
further conducted numerical experiments and demonstrated that the one-sample
OVL-2 test can sometimes exceed the detection power of conventional
goodness-of-fit tests.</abstract><doi>10.48550/arxiv.2408.10612</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Statistics Theory Statistics - Theory |
| title | Extension of the one-sample Kolmogorov-Smirnov test |
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