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• W1586896852 abstract "Abstract. 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 that and are two families of 0-1 random variables that satisfy the strong Rayleigh property and let . We show that {Zi} conditioned on is also strongly Rayleigh; this turns out to be an easy consequence of the results on preservation of stability of polynomials of Borcea & Brändén (Invent. Math., 177, 2009, 521–569). This entails that a number of important πps sampling algorithms, including Sampford sampling and Pareto sampling, are CNA+. As a consequence, statistics based on such samples automatically satisfy a version of the Central Limit Theorem for triangular arrays." @default.
• W1586896852 created "2016-06-24" @default.
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• W1586896852 date "2012-02-20" @default.
• W1586896852 modified "2023-10-05" @default.
• W1586896852 title "Negative Dependence in Sampling" @default.
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• W1586896852 doi "https://doi.org/10.1111/j.1467-9469.2011.00766.x" @default.
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