On Positive In uence and Negative Dependence
On Positive In uence and Negative Dependence
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论积极影响与消极依赖
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
D. Ranjan
中科院分区：
文献类型：
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作者：
Devdatt P. Dubhashi;D. Ranjan
我们研究了负影响的两个概念，即负回归和负联想。我们证明了，如果一组对称的二元随机变量是负回归的，那么它们必然是负相关的。证明使用了一个引理，这是独立的利益，并表明，每个二元对称分布有一个变量的积极影响”。我们还表明，在一般情况下，负回归的概念是不同的，从负联想。
We study two notions of negative in uence namely negative regression and negative association. We show that if a set of symmetric binary random variables are negatively regressed then they are necessarily negatively associated. The proof uses a lemma that is of independent interest and shows that every binary symmetric distribution has a variable of positive in uence". We also show that in general the notion of negative regression is di erent from that of negative association.