Asymptotic simultaneous confidence intervals for the probabilities of a multinomial distribution

Simple item page
dc.contributor.authorQuesenberry, C. P.en
dc.contributor.departmentStatisticsen
dc.date.accessioned2017-03-10T18:28:47Zen
dc.date.available2017-03-10T18:28:47Zen
dc.date.issued1959en
dc.description.abstractApproximate formulae are derived for obtaining confidence intervals for the probabilities of a multinomial distribution. The approach used is to consider the Chi-square goodness of fit statistic as a function of the population parameters and to invert this function to obtain a set of simultaneous confidence intervals for the parameters The confidence coefficient for the set of simultaneous confidence intervals obtained by this procedure is conservative, i.e., the true probability that every interval covers its corresponding parameter will in general be greater than the coefficient obtained by this method. As the sample size increases the intervals will converge on the population parameters and will estimate them exactly in the limit.en
dc.description.degreeMaster of Scienceen
dc.format.extent40 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/76123en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Instituteen
dc.relation.isformatofOCLC# 26691468en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1959.Q474en
dc.subject.lcshAsymptotic distribution (Probability theory)en
dc.titleAsymptotic simultaneous confidence intervals for the probabilities of a multinomial distributionen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineStatisticsen
thesis.degree.grantorVirginia Polytechnic Instituteen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
LD5655.V855_1959.Q474.pdf
Size:
2.59 MB
Format:
Adobe Portable Document Format
Download

Collections

Masters Theses