Minimax versions of the two-stage t test
Let X be a N ( μ, σ 2 ) distributed characteristic with unknown σ . We present the minimax version of the two-stage t test having minimal maximal average sample size among all two-stage t tests obeying the classical two-point-condition on the operation characteristic. We give several examples. Furth...
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| Veröffentlicht in: | Statistical papers (Berlin, Germany) Germany), 2012-05, Vol.53 (2), p.311-321 |
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| container_title | Statistical papers (Berlin, Germany) |
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| creator | Krumbholz, Wolf Rohr, Andreas Vangjeli, Eno |
| description | Let
X
be a
N
(
μ, σ
2
) distributed characteristic with unknown
σ
. We present the minimax version of the two-stage
t
test having minimal maximal average sample size among all two-stage
t
tests obeying the classical two-point-condition on the operation characteristic. We give several examples. Furthermore, the minimax version of the two-stage
t
test is compared with the corresponding two-stage Gauß test. |
| doi_str_mv | 10.1007/s00362-010-0339-0 |
| format | Article |
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X
be a
N
(
μ, σ
2
) distributed characteristic with unknown
σ
. We present the minimax version of the two-stage
t
test having minimal maximal average sample size among all two-stage
t
tests obeying the classical two-point-condition on the operation characteristic. We give several examples. Furthermore, the minimax version of the two-stage
t
test is compared with the corresponding two-stage Gauß test.</description><identifier>ISSN: 0932-5026</identifier><identifier>EISSN: 1613-9798</identifier><identifier>DOI: 10.1007/s00362-010-0339-0</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Algorithms ; Economic Theory/Quantitative Economics/Mathematical Methods ; Economics ; Finance ; Insurance ; Management ; Mathematics and Statistics ; Minimax technique ; Operations Research/Decision Theory ; Probability Theory and Stochastic Processes ; Regular Article ; Sample size ; Sample variance ; Samples ; Statistical analysis ; Statistical methods ; Statistics ; Statistics for Business ; Studies ; Tests</subject><ispartof>Statistical papers (Berlin, Germany), 2012-05, Vol.53 (2), p.311-321</ispartof><rights>Springer-Verlag 2010</rights><rights>Springer-Verlag 2012</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c382t-a239530245aef5ca0fa001f623b4337b5c9975f12e5db58bb7ce69bae6e3bbf03</citedby><cites>FETCH-LOGICAL-c382t-a239530245aef5ca0fa001f623b4337b5c9975f12e5db58bb7ce69bae6e3bbf03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00362-010-0339-0$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00362-010-0339-0$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Krumbholz, Wolf</creatorcontrib><creatorcontrib>Rohr, Andreas</creatorcontrib><creatorcontrib>Vangjeli, Eno</creatorcontrib><title>Minimax versions of the two-stage t test</title><title>Statistical papers (Berlin, Germany)</title><addtitle>Stat Papers</addtitle><description>Let
X
be a
N
(
μ, σ
2
) distributed characteristic with unknown
σ
. We present the minimax version of the two-stage
t
test having minimal maximal average sample size among all two-stage
t
tests obeying the classical two-point-condition on the operation characteristic. We give several examples. Furthermore, the minimax version of the two-stage
t
test is compared with the corresponding two-stage Gauß test.</description><subject>Algorithms</subject><subject>Economic Theory/Quantitative Economics/Mathematical Methods</subject><subject>Economics</subject><subject>Finance</subject><subject>Insurance</subject><subject>Management</subject><subject>Mathematics and Statistics</subject><subject>Minimax technique</subject><subject>Operations Research/Decision Theory</subject><subject>Probability Theory and Stochastic Processes</subject><subject>Regular Article</subject><subject>Sample size</subject><subject>Sample variance</subject><subject>Samples</subject><subject>Statistical analysis</subject><subject>Statistical methods</subject><subject>Statistics</subject><subject>Statistics for Business</subject><subject>Studies</subject><subject>Tests</subject><issn>0932-5026</issn><issn>1613-9798</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp1kDtPAzEQhC0EEuHxA-hOokljWHvPPrtEES8piAZqyz7scFFyDvaFx7_H0VEgJKrd4puZ3SHkjMEFA2guMwBKToEBBURNYY9MmGRIdaPVPpmARk4FcHlIjnJeAjClFEzI9KHru7X9rN59yl3scxVDNbz6aviINA92UbZq8Hk4IQfBrrI__ZnH5Pnm-ml2R-ePt_ezqzltUfGBWo5aIPBaWB9EayHYkhUkR1cjNk60WjciMO7FixPKuab1UjvrpUfnAuAxmY6-mxTftiXYrLvc-tXK9j5us2GyYVyomsmCnv9Bl3Gb-nKdYcCwrpGzulBspNoUc04-mE0qH6evApldd2bszpTuzK47szuCj5pc2H7h02_n_0TfEZ1vIw</recordid><startdate>20120501</startdate><enddate>20120501</enddate><creator>Krumbholz, Wolf</creator><creator>Rohr, Andreas</creator><creator>Vangjeli, Eno</creator><general>Springer-Verlag</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>0U~</scope><scope>1-H</scope><scope>3V.</scope><scope>7SC</scope><scope>7WY</scope><scope>7WZ</scope><scope>7XB</scope><scope>87Z</scope><scope>88I</scope><scope>8AO</scope><scope>8C1</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8FL</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BEZIV</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FRNLG</scope><scope>FYUFA</scope><scope>F~G</scope><scope>GHDGH</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K60</scope><scope>K6~</scope><scope>L.-</scope><scope>L.0</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M0C</scope><scope>M2P</scope><scope>M7S</scope><scope>PQBIZ</scope><scope>PQBZA</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>H8D</scope></search><sort><creationdate>20120501</creationdate><title>Minimax versions of the two-stage t test</title><author>Krumbholz, Wolf ; 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X
be a
N
(
μ, σ
2
) distributed characteristic with unknown
σ
. We present the minimax version of the two-stage
t
test having minimal maximal average sample size among all two-stage
t
tests obeying the classical two-point-condition on the operation characteristic. We give several examples. Furthermore, the minimax version of the two-stage
t
test is compared with the corresponding two-stage Gauß test.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer-Verlag</pub><doi>10.1007/s00362-010-0339-0</doi><tpages>11</tpages></addata></record> |
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| identifier | ISSN: 0932-5026 |
| ispartof | Statistical papers (Berlin, Germany), 2012-05, Vol.53 (2), p.311-321 |
| issn | 0932-5026 1613-9798 |
| language | eng |
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| source | SpringerLink Journals; Business Source Complete |
| subjects | Algorithms Economic Theory/Quantitative Economics/Mathematical Methods Economics Finance Insurance Management Mathematics and Statistics Minimax technique Operations Research/Decision Theory Probability Theory and Stochastic Processes Regular Article Sample size Sample variance Samples Statistical analysis Statistical methods Statistics Statistics for Business Studies Tests |
| title | Minimax versions of the two-stage t test |
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