The statistical nature of h-index of a network node

  title={The statistical nature of h-index of a network node},
  author={Yan Liu and Mudi Jiang and Lianyu Hu and Zengyou He},
Evaluating the importance of a network node is a crucial task in network science and graph data mining. H -index is a popular centrality measure for this task, however, there is still a lack of its interpretation from a rigorous statistical aspect. Here we show the statistical nature of h -index from the perspective of order statistics, and we obtain a new family of centrality indices by generalizing the h -index along this direction. The theoretical and empirical evidence shows that such a… 

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