Monotonicity in the sample size of the length of classical confidence intervals

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dc.contributor.authorKagan, Abram M.
dc.contributor.authorMalinovsky, Yaakov
dc.date.accessioned2024-11-14T15:18:33Z
dc.date.available2024-11-14T15:18:33Z
dc.date.issued2012-09-05
dc.description.abstractIt is proved that the average length of standard confidence intervals for parameters of Gamma and normal distributions monotonically decreases with the sample size. The proofs are based on fine properties of the classical Gamma function.
dc.description.sponsorshipThe authors would like to thank the referee for a careful reading of the manuscript and very helpful suggestions. The work of the second author was partially supported by a 2012 UMBC Summer Faculty Fellowship grant.
dc.description.urihttps://www.sciencedirect.com/science/article/pii/S0167715212003306
dc.format.extent11 pages
dc.genrejournal articles
dc.genrepreprints
dc.identifierdoi:10.13016/m2rfal-wbas
dc.identifier.citationKagan, Abram M., and Yaakov Malinovsky. “Monotonicity in the Sample Size of the Length of Classical Confidence Intervals.” Statistics & Probability Letters 83, no. 1 (January 1, 2013): 78–82. https://doi.org/10.1016/j.spl.2012.08.025.
dc.identifier.urihttps://doi.org/10.1016/j.spl.2012.08.025
dc.identifier.urihttp://hdl.handle.net/11603/36934
dc.language.isoen_US
dc.publisherElsevier
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics and Statistics Department
dc.relation.ispartofUMBC Faculty Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author
dc.subjectGamma function
dc.subjectLocation and scale parameters
dc.subjectStochastic monotonicity
dc.titleMonotonicity in the sample size of the length of classical confidence intervals
dc.typeText
dcterms.creatorhttps://orcid.org/0000-0003-2888-674X

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