The relationships between discrete and continuous probability distributions

dc.contributor.authorPatel, Jagdishbhai Nagjibhaien
dc.contributor.departmentStatisticsen
dc.date.accessioned2020-12-14T16:34:29Zen
dc.date.available2020-12-14T16:34:29Zen
dc.date.issued1962en
dc.description.abstractThough some of the discrete distributions, for example the binomial, hypergeometric, Poisson, are well tabulated, often statisticians use the percentage points of approximating continuous distributions when analysing discrete data. In this thesis, the exact relationships between certain discrete and continuous distributions are established, and these relationships are used for setting confidence limits and significance testing of hypotheses. In Chapter 1, statements of all distributions and mathematical functions used in this thesis are made, and also some approximations are mentioned without proofs. In Chapter 2, exact relationships between discrete distributions (the binomial, negative-binomial, and Poisson) and continuous distributions (the F and χ²) are proved. In Chapter 3, use is made of the approximate and exact relationships between discrete and continuous distributions, for setting confidence limits on the parameters of the discrete distributions. Chapter 4 consists of the approximate and exact significance testing of hypotheses by using the approximate and exact relationships, given in Chapter 2. In Chapter 5, two-sample, exact and approximate, significance tests of hypotheses on the Poisson distribution are performed, in the case of fixed number of events experimentation and fixed time experimentation.en
dc.description.degreeM.S.en
dc.format.extent79 pages, 1 unnumbered leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/101114en
dc.language.isoenen
dc.publisherVirginia Polytechnic Instituteen
dc.relation.isformatofOCLC# 08096701en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1962.P37en
dc.subject.lcshMathematical statisticsen
dc.subject.lcshProbabilitiesen
dc.titleThe relationships between discrete and continuous probability distributionsen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineStatisticsen
thesis.degree.grantorVirginia Polytechnic Instituteen
thesis.degree.levelmastersen
thesis.degree.nameM.S.en

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