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Negative correlation and log-concavity
Descriptive
TypeOfResource
Text
TitleInfo
(ID = T-1)
Title
Negative correlation and log-concavity
Identifier
ETD_1603
Identifier
(type = hdl)
http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000051389
Language
LanguageTerm
(authority = ISO639-2);
(type = code)
eng
Genre
(authority = marcgt)
theses
Subject
(ID = SBJ-1);
(authority = RUETD)
Topic
Mathematics
Subject
(ID = SBJ-1);
(authority = ETD-LCSH)
Topic
Concave functions
Subject
(ID = SBJ-1);
(authority = ETD-LCSH)
Topic
Distribution (Probability theory)
Abstract
This 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.
PhysicalDescription
Form
(authority = gmd)
electronic resource
Extent
v, 90 p.
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application/pdf
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text/xml
Note
(type = degree)
Ph.D.
Note
(type = bibliography)
Includes bibliographical references (p. 83-85)
Note
(type = statement of responsibility)
by Michael Neiman
Name
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NamePart
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Neiman
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(type = given)
Michael
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1981
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author
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Michael Neiman
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Kahn
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Jeff
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chair
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Advisory Committee
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Jeff Kahn
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(type = family)
Ocone
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(type = given)
Daniel
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internal member
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Advisory Committee
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Daniel Ocone
Name
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(type = personal)
NamePart
(type = family)
Saks
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(type = given)
Michael
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internal member
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Advisory Committee
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Michael Saks
Name
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NamePart
(type = family)
Seymour
NamePart
(type = given)
Paul
Role
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outside member
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Advisory Committee
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Paul Seymour
Name
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NamePart
Rutgers University
Role
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degree grantor
Name
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Graduate School - New Brunswick
Role
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(authority = RULIB);
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school
OriginInfo
DateCreated
(point = );
(qualifier = exact)
2009
DateOther
(qualifier = exact);
(type = degree)
2009-05
Place
PlaceTerm
(type = code)
xx
RelatedItem
(type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier
(type = RULIB)
ETD
RelatedItem
(type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier
(type = local)
rucore19991600001
Location
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(displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier
(type = doi)
doi:10.7282/T3QC03Q2
Genre
(authority = ExL-Esploro)
ETD doctoral
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Rights
RightsDeclaration
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(ID = rulibRdec0006)
The author owns the copyright to this work.
Copyright
Status
Copyright protected
Availability
Status
Open
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Type
Permission or license
Detail
Non-exclusive ETD license
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License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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Technical
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ETD
MimeType
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application/pdf
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application/x-tar
FileSize
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460800
Checksum
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e75da3bbb128f84a0f789362bae5d8cb543c9f7d
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