A note on a dynamic network model with homogeneous structure
In this note, we establish central limit theorems for the estimators of both heterogeneity and homophily parameters in a dynamic network model with homogeneous structure when the number of nodes and the number of dynamic networks go to infinity.
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| Published in | Statistics & probability letters Vol. 184; p. 109363 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.05.2022
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| Subjects | |
| Online Access | Get full text |
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| Abstract | In this note, we establish central limit theorems for the estimators of both heterogeneity and homophily parameters in a dynamic network model with homogeneous structure when the number of nodes and the number of dynamic networks go to infinity. |
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| AbstractList | In this note, we establish central limit theorems for the estimators of both heterogeneity and homophily parameters in a dynamic network model with homogeneous structure when the number of nodes and the number of dynamic networks go to infinity. |
| ArticleNumber | 109363 |
| Author | Huang, Tao Long, Yuhang |
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| Cites_doi | 10.1214/15-AOS1403 10.3982/ECTA12679 10.1016/j.spl.2018.02.046 10.1111/rssb.12155 10.1111/rssb.12013 10.1080/01621459.2018.1448829 10.1093/biomet/asaa045 10.1214/18-AOAS1205 |
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| Copyright | 2022 Elsevier B.V. |
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| DOI | 10.1016/j.spl.2022.109363 |
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| Keywords | Homogeneity pursuit Central limit theorem Dynamic network |
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| References | Sit, Ying, Yu (b6) 2021; 108 Graham (b2) 2017; 85 Ke, Li, Wenyang. (b3) 2016; 44 Li, Levina, Zhu (b4) 2019; 13 Perry, Wolfe (b5) 2013; 75 Vogt, Linton (b8) 2017; 79 Yan (b9) 2018 Yan, Jiang, Fienberg, Leng (b10) 2019; 114 Bhamidi, Jin, Nobel (b1) 2015; 28 Su, Qian, Yan (b7) 2018; 138 Yan (10.1016/j.spl.2022.109363_b10) 2019; 114 Li (10.1016/j.spl.2022.109363_b4) 2019; 13 Perry (10.1016/j.spl.2022.109363_b5) 2013; 75 Ke (10.1016/j.spl.2022.109363_b3) 2016; 44 Sit (10.1016/j.spl.2022.109363_b6) 2021; 108 Vogt (10.1016/j.spl.2022.109363_b8) 2017; 79 Bhamidi (10.1016/j.spl.2022.109363_b1) 2015; 28 Yan (10.1016/j.spl.2022.109363_b9) 2018 Graham (10.1016/j.spl.2022.109363_b2) 2017; 85 Su (10.1016/j.spl.2022.109363_b7) 2018; 138 |
| References_xml | – volume: 108 start-page: 223 year: 2021 end-page: 230 ident: b6 article-title: Event history analysis of dynamic networks publication-title: Biometrika – volume: 13 start-page: 132 year: 2019 end-page: 164 ident: b4 article-title: Prediction models for network-linked data publication-title: Ann. Appl. Stat. – volume: 138 start-page: 27 year: 2018 end-page: 30 ident: b7 article-title: A note on a network model with degree heterogeneity and homophily publication-title: Statist. Probab. Lett. – volume: 114 start-page: 857 year: 2019 end-page: 868 ident: b10 article-title: Statistical inference in a directed network model with covariates publication-title: J. Am. Stat. Assoc. – volume: 85 start-page: 1033 year: 2017 end-page: 1063 ident: b2 article-title: An econometric model of link formation with degree heterogeneity publication-title: Econometrica – volume: 75 start-page: 821 year: 2013 end-page: 849 ident: b5 article-title: Point process modelling for directed interaction networks publication-title: J. R. Stat. Soc. Ser. B Stat. Methodol. – volume: 79 start-page: 5 year: 2017 end-page: 27 ident: b8 article-title: Classification of nonparametric regression functions in heterogeneous panels publication-title: J. R. Stat. Soc. Ser. B Stat. Methodol. – year: 2018 ident: b9 article-title: A unified framework for inference in network models with degree heterogeneity and homophily – volume: 28 start-page: 351 year: 2015 end-page: 355 ident: b1 article-title: Change point detection in network models: Preferential attachment and long range dependence publication-title: Ann. Appl. Probab. – volume: 44 start-page: 1193 year: 2016 end-page: 1233 ident: b3 article-title: Structure identification in panel data analysis publication-title: Ann. Statist. – volume: 44 start-page: 1193 issue: 3 year: 2016 ident: 10.1016/j.spl.2022.109363_b3 article-title: Structure identification in panel data analysis publication-title: Ann. Statist. doi: 10.1214/15-AOS1403 – volume: 85 start-page: 1033 issue: 4 year: 2017 ident: 10.1016/j.spl.2022.109363_b2 article-title: An econometric model of link formation with degree heterogeneity publication-title: Econometrica doi: 10.3982/ECTA12679 – volume: 138 start-page: 27 year: 2018 ident: 10.1016/j.spl.2022.109363_b7 article-title: A note on a network model with degree heterogeneity and homophily publication-title: Statist. Probab. Lett. doi: 10.1016/j.spl.2018.02.046 – volume: 28 start-page: 351 issue: 1 year: 2015 ident: 10.1016/j.spl.2022.109363_b1 article-title: Change point detection in network models: Preferential attachment and long range dependence publication-title: Ann. Appl. Probab. – volume: 79 start-page: 5 issue: 1 year: 2017 ident: 10.1016/j.spl.2022.109363_b8 article-title: Classification of nonparametric regression functions in heterogeneous panels publication-title: J. R. Stat. Soc. Ser. B Stat. Methodol. doi: 10.1111/rssb.12155 – volume: 75 start-page: 821 issue: 5 year: 2013 ident: 10.1016/j.spl.2022.109363_b5 article-title: Point process modelling for directed interaction networks publication-title: J. R. Stat. Soc. Ser. B Stat. Methodol. doi: 10.1111/rssb.12013 – volume: 114 start-page: 857 issue: 526 year: 2019 ident: 10.1016/j.spl.2022.109363_b10 article-title: Statistical inference in a directed network model with covariates publication-title: J. Am. Stat. Assoc. doi: 10.1080/01621459.2018.1448829 – volume: 108 start-page: 223 issue: 1 year: 2021 ident: 10.1016/j.spl.2022.109363_b6 article-title: Event history analysis of dynamic networks publication-title: Biometrika doi: 10.1093/biomet/asaa045 – year: 2018 ident: 10.1016/j.spl.2022.109363_b9 – volume: 13 start-page: 132 issue: 1 year: 2019 ident: 10.1016/j.spl.2022.109363_b4 article-title: Prediction models for network-linked data publication-title: Ann. Appl. Stat. doi: 10.1214/18-AOAS1205 |
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| SubjectTerms | Central limit theorem Dynamic network Homogeneity pursuit |
| Title | A note on a dynamic network model with homogeneous structure |
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