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dc.contributor.authorHayles, George Carltonen_US
dc.date.accessioned2014-03-14T20:47:16Z
dc.date.available2014-03-14T20:47:16Z
dc.date.issued1966-12-06en_US
dc.identifier.otheretd-10302008-120613en_US
dc.identifier.urihttp://hdl.handle.net/10919/35544
dc.description.abstractThe purpose of this study is to examine variances in the case of distributions obtained by truncating a given distribution at various points. In particular, the truncated distributions are restricted to nested increasing intervals, and the question is posed whether the variances of these distributions are monotonically increasing. The answer to this question is relevant to the use of conditional information for purposes of estimation and prediction. Several tables are presented in the thesis which provide evidence of the property of monotonic variance for nested increasing intervals of truncation in the case of univariate distributions., The Monte Carlo procedure is used to determine a table of standard deviations for the standard normal distribution with the same points of truncation reported by Clark(2). Clark's table is given intact, and it is used in comparison with the new table reported here as a check on the Monte Carlo procedure used in the present study. Distributions other than the standard normal distribution are examined as well, namely, a Pearson U-shaped distribution and a bimodal distribution consisting of a mixture or two Pearson distributions. Graphs of the U-shaped and bimodal distributions are given. A section is given in which dispersion for a bivariate case is examined in terms of the bivariate normal distribution. An interesting trend among the covariance matrices is observed in the data reported in that section. A separate computer program for each type of distribution was written and used to calculate the variances of the truncated distributions. FORTRAN programs and flow charts are presented in the Appendix. Explanation of the tables and procedures used to calculate the entries in the body of each table are given in each section as well as some discussion of the results presented.en_US
dc.format.mediumBTDen_US
dc.publisherVirginia Techen_US
dc.relation.haspartLD5655.V855_1966.H37.pdfen_US
dc.subjectAnalysis of varianceen_US
dc.subject.lccLD5655.V855 1966.H37en_US
dc.titleVariances of some truncated distributions for various points of truncationen_US
dc.typeThesisen_US
dc.contributor.departmentStatisticsen_US
dc.description.degreeMaster of Scienceen_US
thesis.degree.nameMaster of Scienceen_US
thesis.degree.levelmastersen_US
thesis.degree.grantorVirginia Polytechnic Instituteen_US
thesis.degree.disciplineStatisticsen_US
dc.contributor.committeechairJensen, Donald R.en_US
dc.contributor.committeememberHarshbarger, Boyden_US
dc.contributor.committeememberPickands, James J. IIIen_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10302008-120613/en_US
dc.date.sdate2008-10-30en_US
dc.date.rdate2008-10-30
dc.date.adate2008-10-30en_US


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