The statistical nature of h-index of a network node

@article{Liu2022TheSN,
  title={The statistical nature of h-index of a network node},
  author={Yan Liu and Mudi Jiang and Lianyu Hu and Zengyou He},
  journal={ArXiv},
  year={2022},
  volume={abs/2206.00381}
}
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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References

SHOWING 1-10 OF 42 REFERENCES

Study on centrality measures in social networks: a survey

This survey paper presents past and present research works on measures of centrality in social network, and some applications ofcentrality measures in biology, research, security, traffic, transportation, drug, class room.

The bi-directional h-index and B-core decomposition in directed networks

Coreness and $h$ -Index for Weighted Networks

A unified framework to generalize the traditional $k -core decomposition method for both weighted and unweighted networks is presented and it is proved that all $k$ -core indexes can be regarded as some steady state of h-index series with $n$ going to infinity.

A Mathematical Model for Group Structures

Many kinds of theories have been developed to explain human behavior. They may be classified in many ways - in terms of outstanding men, of schools of psychology, in terms of the emphasis placed upon

Rethinking centrality: Methods and examples☆

A NEW MEASURE OF RANK CORRELATION

1. In psychological work the problem of comparing two different rankings of the same set of individuals may be divided into two types. In the first type the individuals have a given order A which is