A Latent Moving Average Model for Network Regression
Statistics and Its Interface Volume 11 (2018) 641–648
8 Pages Posted: 11 Oct 2018
Date Written: September 21, 2018
Diﬀerent from traditional statistical analysis that concerns about individuals, network analysis focuses more on the dichotomous relationships between those individuals. It is then of interest to investigate the relationship against a set of predictive variables. The widely used generalized linear model is no longer applicable, since it implicitly assumes that diﬀerent subjects are completely independent. To solve this problem, we propose a latent moving average model (LMAM), which allows for nontrivial dependence for overlapped relationships. It is only assumed that the nonoverlapped relationships are independent. Under such an assumption, the asymptotic theory, including the rate of convergence and asymptotic normality, can be established. A number of numerical studies are conducted to demonstrate the ﬁnite sample performance of our proposed method. At last, a real dataset is analyzed for illustration purpose.
Keywords: Generalized Linear Model, Latent Moving Average Model, Network Regression, Social Networks
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