Degree-Based Moment Estimation for Ordered Networks

LI Wenlong; YAN Ting; ABD ELGAWAD Mohamed; QIN Hong

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Degree-Based Moment Estimation for Ordered Networks

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The edges between vertices in networks take not only the common binary values,but also the ordered values in some situations (e.g.,the measurement of the relationship between people from worst to best in social networks).In this paper,the authors study the asymptotic property of the moment estimator based on the degrees of vertices in ordered networks whose edges are ordered random variables.In particular,the authors establish the uniform consistency and the asymptotic normality of the moment estimator when the number of parameters goes to infinity.Simulations and a real data example are provided to illustrate asymptotic results.

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《系统科学与复杂性：英文版》 |2017年第3期|721-733|共13页
作者
LI Wenlong; YAN Ting; ABD ELGAWAD Mohamed; QIN Hong;
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Department of Statistics and Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan 430079, China;

Department of Statistics and Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan 430079, China;

Department of Statistics and Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan 430079, China;

Department of Mathematics, Faculty of Science, Benha University, Benha 13518,Egypt;

Department of Statistics and Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan 430079, China;

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Degree-Based Moment Estimation for Ordered Networks

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