On the critical value behaviour of multiple decision procedures
Identifieur interne : 002318 ( Main/Merge ); précédent : 002317; suivant : 002319On the critical value behaviour of multiple decision procedures
Auteurs : H. Finner [Allemagne] ; M. Roters [Allemagne]Source :
- Scandinavian journal of statistics [ 0303-6898 ] ; 2000.
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Abstract
In this paper we investigate the asymptotic critical value behaviour of certain multiple decision procedures as e.g. simultaneous confidence intervals and simultaneous as well as stepwise multiple test procedures. Supposing that n hypotheses or parameters of interest are under consideration we investigate the critical value behaviour when n increases. More specifically, we answer e.g. the question by which amount the lengths of confidence intervals increase when an additional parameter is added to the statistical analysis. Furthermore, critical values of different multiple decision procedures as for instance step-down and step-up procedures will be compared. Some general theoretic results are derived and applied for various distributions.
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Finner</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Universität Trier</s1><s3>DEU</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ></inist:fA14><country>Allemagne</country><wicri:noRegion>Universität Trier</wicri:noRegion><wicri:noRegion>Universität Trier</wicri:noRegion></affiliation></author><author><name sortKey="Roters, M" sort="Roters, M" uniqKey="Roters M" first="M." last="Roters">M. Roters</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>Universität Trier</s1><s3>DEU</s3><sZ>1 aut.</sZ><sZ>2 aut.</sZ></inist:fA14><country>Allemagne</country><wicri:noRegion>Universität Trier</wicri:noRegion><wicri:noRegion>Universität Trier</wicri:noRegion></affiliation></author></analytic><series><title level="j" type="main">Scandinavian journal of statistics</title><title level="j" type="abbreviated">Scand. j. stat.</title><idno type="ISSN">0303-6898</idno><imprint><date when="2000">2000</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Scandinavian journal of statistics</title><title level="j" type="abbreviated">Scand. j. stat.</title><idno type="ISSN">0303-6898</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Asymptotic behavior</term><term>Beta function</term><term>Bonferroni test procedure</term><term>Cauchy distribution</term><term>Confidence interval</term><term>Critical value</term><term>Decision theory</term><term>Extreme value</term><term>Gamma distribution</term><term>Gaussian distribution</term><term>Gumbel distribution</term><term>Lebesgue density</term><term>Multiple comparison</term><term>Multiple decision</term><term>Multiple test procedure</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Théorie décision</term><term>Décision multiple</term><term>Valeur critique</term><term>Comportement asymptotique</term><term>Intervalle confiance</term><term>Comparaison multiple</term><term>Fonction bêta</term><term>Loi Cauchy</term><term>Loi gamma</term><term>Valeur extrême</term><term>Loi normale</term><term>Procédure test Bonferroni</term><term>Procédure test multiple</term><term>Densité Lebesgue</term><term>Loi Gumbel</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">In this paper we investigate the asymptotic critical value behaviour of certain multiple decision procedures as e.g. simultaneous confidence intervals and simultaneous as well as stepwise multiple test procedures. Supposing that n hypotheses or parameters of interest are under consideration we investigate the critical value behaviour when n increases. More specifically, we answer e.g. the question by which amount the lengths of confidence intervals increase when an additional parameter is added to the statistical analysis. Furthermore, critical values of different multiple decision procedures as for instance step-down and step-up procedures will be compared. Some general theoretic results are derived and applied for various distributions.</div></front></TEI><affiliations><list><country><li>Allemagne</li></country></list><tree><country name="Allemagne"><noRegion><name sortKey="Finner, H" sort="Finner, H" uniqKey="Finner H" first="H." last="Finner">H. Finner</name></noRegion><name sortKey="Roters, M" sort="Roters, M" uniqKey="Roters M" first="M." last="Roters">M. Roters</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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