4 papers
Subgraph counting estimation for the -model in sparse networks
Qunqiang Feng, Jiashun Jin, Yaru Tian +1
The -model is popular for characterizing the commonly observed degree heterogeneity phenomenon in real-world networks. In this study, we develop a cycle counting approach to es…
Triple-dyad ratio estimation for the model
Qunqiang Feng, Yaru Tian, Ting Yan
Although the model was proposed 40 years ago, little progress has been made to address asymptotic theories in this model, that is, neither consistency of the maximum likeliho…
Optimal estimators and tests for reciprocal effects
Qunqiang Feng, Jiashun Jin, Yaru Tian +1
The model plays a fundamental role in modeling directed networks, where the reciprocal effect parameter is of special interest in practice. However, due to nonlinear fac…
Limit laws for the generalized Zagreb indices of random graphs
Qunqiang Feng, Hongpeng Ren, Yaru Tian
In this paper, we study the limiting behavior of the generalized Zagreb indices of the classical ErdÅs-Rényi (ER) random graph , as . For any integer ,…