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Mixture network autoregressive model with application on students’successes
作者姓名:Weizhong TIAN  Fengrong WEI  Thomas BROWN
作者单位:Department of Mathematical Sciences;Department of Mathematics
摘    要:We propose a mixture network regression model which considers both response variables and the node-specific random vector depend on the time.In order to estimate and compare the impacts of various connections on a response variable simultaneously,we extend it into p different types of connections.An ordinary least square estimators of the effects of different types of connections on a response variable is derived with its asymptotic property.Simulation studies demonstrate the effectiveness of our proposed method in the estimation of the mixture autoregressive model.In the end,a real data illustration on the students’GPA is discussed.

关 键 词:NETWORK  regression  MULTIPLE  CONNECTIONS  HETEROGENEOUS  DYNAMIC  effects

Mixture network autoregressive model with application on students' successes
Weizhong TIAN,Fengrong WEI,Thomas BROWN.Mixture network autoregressive model with application on students' successes[J].Frontiers of Mathematics in China,2020,15(1):141-154.
Authors:Weizhong TIAN  Fengrong WEI  Thomas BROWN
Institution:1. Department of Mathematical Sciences, Eastern New Mexico University, Portales, NM 88130, USA2. Department of Mathematics, University of West Georgia, Carrollton, GA 30118, USA
Abstract:We propose a mixture network regression model which considers both response variables and the node-specific random vector depend on the time. In order to estimate and compare the impacts of various connections on a response variable simultaneously, we extend it into p different types of connections. An ordinary least square estimators of the effects of different types of connections on a response variable is derived with its asymptotic property. Simulation studies demonstrate the effectiveness of our proposed method in the estimation of the mixture autoregressive model. In the end, a real data illustration on the students' GPA is discussed.
Keywords:Network regression  multiple connections  heterogeneous  dynamic effects  
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