RUcore Resource Object
RUcore Resource Object
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TitleNegative correlation and log-concavity
NameNeiman, Michael (author), Kahn, Jeff (chair), Ocone, Daniel (internal member), Saks, Michael (internal member), Seymour, Paul (outside member), Rutgers University, Graduate School - New Brunswick,
Degree Date2009-05
Date Created2009
SubjectMathematics,
Concave functions,
Distribution (Probability theory)
DescriptionThis thesis is concerned with negative correlation and log-concavity properties and relations between them, with much of our motivation provided by [40], [46], and [12]. Our main results include a proof that "almost exchangeable" measures satisfy the "Feder-Mihail" property; counterexamples and a few positive results related to several conjectures of Pemantle [40], Wagner [46], and Choe and Wagner [7] concerning negative correlation and log-concavity properties for probability measures and relations between them; a proof that a conditional version of the "antipodal pairs property" implies a strong form of log-concavity, which yields some partial results on a well-known conjecture of Mason [38]; a proof that "competing urn" measures satisfy "conditional negative association"; and proofs that certain classes of measures introduced by Srinivasan [42] and Pemantle [40] satisfy a strong form of negative association.
NotePh.D.
NoteIncludes bibliographical references (p. 83-85)
Noteby Michael Neiman
Genretheses
Persistent URLhttp://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051389
Languageeng
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.