Discrete versions of the transport equation and the Shepp--Olkin conjecture
نویسندگان
چکیده
We introduce a framework to consider transport problems for integer-valued random variables. We introduce weighting coefficients which allow us to characterise transport problems in a gradient flow setting, and form the basis of our introduction of a discrete version of the Benamou–Brenier formula. Further, we use these coefficients 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. MSC2000: primary; 60E15, secondary; 94A17, 60D99
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عنوان ژورنال:
- CoRR
دوره abs/1303.3381 شماره
صفحات -
تاریخ انتشار 2013