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The topic of is modeling and analyzing dependence in stochastic networks. Most relational phenomena in network are dependent phenomena and dependence is often of substantive interest. Nevertheless, dependence in stochastic networks has not received much attention in the literature.
Very recently, Schweinberger and Handcock (2015) proposed the concept of local dependence in stochastic networks. While dependence within blocks is explicitly modeled in this work, the blocks themselves are still modeled as independent of each other. However, in many cases of interest, blocks could be dependent.
In this poster we are presenting a model for dependence between blocks and propose to analyze this dependence by using graphical models. Some consistency results on estimators of the conditional dependence structure of the blocks has been obtained by generalizing the work of Meinshausen and Bühlmann (2006).
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