Negative Dependence and Srinivasan's Sampling Process
نویسندگان
چکیده
منابع مشابه
Negative Dependence and Srinivasan’s Sampling Process
In [1] Dubhashi, Jonasson, and Ranjan study the negative dependence properties of Srinivasan’s sampling processes (SSPs), random processes which sample sets of a fixed size with prescribed marginals. In particular they prove that linear SSPs have conditional negative association, by using the Feder-Mihail theorem [3] and a coupling argument. We consider a broader class of SSPs that we call tour...
متن کاملNegative Dependence and Srinivasan's Sampling Process
In [1] Dubhashi, Jonasson, and Ranjan study the negative dependence properties of Srinivasan’s sampling processes (SSPs), random processes which sample sets of a fixed size with prescribed marginals. In particular they prove that linear SSPs have conditional negative association, by using the Feder-Mihail theorem [3] and a coupling argument. We consider a broader class of SSPs that we call tour...
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The strong Rayleigh property is a new and robust negative dependence property that implies negative association; in fact it implies conditional negative association closed under external fields (CNA+). Suppose thatX1, . . . , XN and Y1, . . . , YN are two families of 0-1 random variables that satisfy the strong Rayleigh property and let Zi := Xi + Yi. We show that {Zi} conditioned on ∑ iXiYi = ...
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ژورنال
عنوان ژورنال: Combinatorics, Probability and Computing
سال: 2011
ISSN: 0963-5483,1469-2163
DOI: 10.1017/s0963548311000095