Reference : Discrete versions of the transport equation and the Shepp-Olkin conjecture
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/19723
Discrete versions of the transport equation and the Shepp-Olkin conjecture
English
Hillion, Erwan mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Johnson, Oliver mailto []
2016
Annals of Probability
Institute of Mathematical Statistics
44
1
276-306
Yes (verified by ORBilu)
International
0091-1798
2168-894X
Beachwood
OH
[en] entropy ; transportation of measures ; Bernoulli sums
[en] We introduce a framework to consider transport problems for integer-valued random variables. We introduce weighting coeffcients which allow us to characterise transport problems in a gradient now setting, and form the basis of our introduction of a discrete version of the Benamou--Brenier formula. Further, we use these coeffcients to state a new form of weighted log-concavity. These results are applied to prove the monotone case of the Shepp--Olkin entropy concavity conjecture.
University of Bristol
EPSRC grant, Information Geometry of Graphs, reference EP/I009450/1.
http://hdl.handle.net/10993/19723
10.1214/14-AOP973
http://www.imstat.org/aop/future_papers.htm

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