The statistical nature of h -index of a network node and its extensions
Journal of Informetrics(2023)
摘要
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 rewrite h-index in a new way based on order statistics, which allows us to obtain a new family of centrality indices by generalizing the h-index along this direction. The theoretical and empirical evidence shows that such a statistical interpretation enables us to obtain a general and versatile framework for quantifying the importance of a network node. Under this framework, many new centrality indices can be derived and some of which can be more accurate and robust than h-index. We believe that this research opens up new avenues for developing more effective indices for node importance quantification from a viewpoint that still remains unexplored.
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关键词
<mmlmath xmlnsmml=http//wwww3org/1998/math/mathml,network node,statistical nature
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