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Affiliation networks with an increasing degree sequence

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成果类型:
期刊论文
作者:
Zhang, Yong*;Qian, Xiaodi;Qin, Hong;Yan, Ting
通讯作者:
Zhang, Yong
作者机构:
[Qin, Hong; Yan, Ting; Qian, Xiaodi; Zhang, Yong] Cent China Normal Univ, Dept Stat, Wuhan 430079, Hubei, Peoples R China.
[Qin, Hong; Yan, Ting] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan, Hubei, Peoples R China.
通讯机构:
[Zhang, Yong] C
Cent China Normal Univ, Dept Stat, Wuhan 430079, Hubei, Peoples R China.
语种:
英文
关键词:
Affiliation networks;Asymptotic normality;Consistency;Maximum likelihood estimators
期刊:
Communications in Statistics - Theory and Methods
ISSN:
0361-0926
年:
2017
卷:
46
期:
22
页码:
11163-11180
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11271147, 11471135, 11401239]; CCNU from the colleges's basic research and operation of MOE [CCNU15A02032, CCNU15ZD011]; KLAS [130026507]; CCNU [2016CXZZ157]
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:
Affiliation network is one kind of two-mode social network with two different sets of nodes (namely, a set of actors and a set of social events) and edges representing the affiliation of the actors with the social events. Although a number of statistical models are proposed to analyze affiliation networks, the asymptotic behaviors of the estimator are still unknown or have not been properly explored. In this article, we study an affiliation model with the degree sequence as the exclusively natural sufficient statistic in the exponential family ...

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