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A note on a network model with degree heterogeneity and homophily

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  • Su, Liju
  • Qian, Xiaodi
  • Yan, Ting

Abstract

In this note, we establish a central limit theorem for the maximum likelihood estimator of the degree parameter in a network model with degree heterogeneity and homophily when the number of nodes goes to infinity.

Suggested Citation

  • Su, Liju & Qian, Xiaodi & Yan, Ting, 2018. "A note on a network model with degree heterogeneity and homophily," Statistics & Probability Letters, Elsevier, vol. 138(C), pages 27-30.
    • Handle: RePEc:eee:stapro:v:138:y:2018:i:c:p:27-30
    DOI: 10.1016/j.spl.2018.02.046
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    References listed on IDEAS

    as
    1. Yan, Ting, 2015. "A note on asymptotic distributions in maximum entropy models for networks," Statistics & Probability Letters, Elsevier, vol. 98(C), pages 1-5.
    2. Ting Yan & Jinfeng Xu, 2013. "A central limit theorem in the β-model for undirected random graphs with a diverging number of vertices," Biometrika, Biometrika Trust, vol. 100(2), pages 519-524.
    3. Bryan S. Graham, 2017. "An Econometric Model of Network Formation With Degree Heterogeneity," Econometrica, Econometric Society, vol. 85, pages 1033-1063, July.
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    Citations

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    Cited by:

    1. Jing Luo & Tour Liu & Qiuping Wang, 2022. "Affiliation weighted networks with a differentially private degree sequence," Statistical Papers, Springer, vol. 63(2), pages 367-395, April.
    2. Qiuping Wang & Yuan Zhang & Ting Yan, 2023. "Asymptotic theory in network models with covariates and a growing number of node parameters," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 75(2), pages 369-392, April.
    3. Long, Yuhang & Huang, Tao, 2022. "A note on a dynamic network model with homogeneous structure," Statistics & Probability Letters, Elsevier, vol. 184(C).

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