Statistical inference on the h-index with an application to top-scientist performance

Despite the huge amount of literature on h-index, few papers have been\ndevoted to the statistical analysis of h-index when a probabilistic\ndistribution is assumed for citation counts. The present contribution relies on\nshowing the available inferential techniques, by providing the details for\nproper point and set estimation of the theoretical h-index. Moreover, some\nissues on simultaneous inference - aimed to produce suitable scholar\ncomparisons - are carried out. Finally, the analysis of the citation dataset\nfor the Nobel Laureates (in the last five years) and for the Fields medallists\n(from 2002 onward) is proposed.