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Degree-Based Moment Estimation for Ordered Networks

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成果类型:
期刊论文
作者:
Li Wenlong;Yan Ting*;Abd Elgawad, Mohamed;Qin Hong
通讯作者:
Yan Ting
作者机构:
[Abd Elgawad, Mohamed; Li Wenlong; Yan Ting; Qin Hong] Cent China Normal Univ, Dept Stat, Wuhan 430079, Peoples R China.
[Abd Elgawad, Mohamed; Li Wenlong; Yan Ting; Qin Hong] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
[Abd Elgawad, Mohamed] Benha Univ, Dept Math, Fac Sci, Banha 13518, Egypt.
通讯机构:
[Yan Ting] C
Cent China Normal Univ, Dept Stat, Wuhan 430079, Peoples R China.
Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Asymptotic normality;consistency;moment estimators;increasing number of parameters;ordered network
关键词(中文):
规度;一致性;时刻评估者;参数的增加的数字;订的网络
期刊:
系统科学与复杂性(英文版)
ISSN:
1009-6124
年:
2017
卷:
30
期:
3
页码:
721-733
基金类别:
Qin's research is partially supported by the National Natural Science Foundation of China under Grant Nos. 11271147, 11471135, and Yan's research is partially supported by the National Natural Science Foundation of China under Grant No. 11401239, and the Self-Determined Research Funds of CCNU from the Colleges's Basic Research and Operation of MOE (CCNU15A02032, CCNU15ZD011) and a Fund from KLAS (130026507).
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
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 ...
摘要(中文):
在在网络的顶点之间的边收进不仅普通的二进制值,而且订的值一些状况(例如,在人从之间的关系的测量对最糟最好在里面社会网络) 。在这份报纸,作者学习 asymptotic 片刻的性质评估者基于在其边被订的订的网络的顶点的度随机变量。特别地,作者建立一致一致性和片刻的 asymptotic 规度评估者参数的数字什么时候去无穷。模拟和一个真实数据例子被提供说明 asymptotic 结果。

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