@techreport{2670b5efbb044ce882b2722695b18b6a,
title = "Asymptotics for the Hirsch Index",
abstract = "The last decade methods for quantifying the research output of individual researchers have become quite popular in academic policy making. The h- index (Hirsch, 2005) constitutes an interesting quality measure that has attracted a lot of attention recently. It is now a standard measure available for instance on theWeb of Science. In this paper we establish the asymptotic normality of the empirical h-index. The rate of convergence is non-standard: ph=(1 + nf(h)), where f is the density of the citation distribution and n the number of publications of a researcher. In case that the citations follow a Pareto-type or a Weibull-type distribution as defined in extreme value theory, our general result nicely specializes to results that are useful for constructing confidence intervals for the h-index.",
keywords = "Asymptotic normality, confidence interval, extreme value theory, research output, scientometrics, tail empirical process.",
author = "J. Beirlant and J.H.J. Einmahl",
note = "Subsequently published in Scandinavian Journal of Statistics, 2010 Pagination: 12",
year = "2007",
language = "English",
volume = "2007-86",
series = "CentER Discussion Paper",
publisher = "Econometrics",
type = "WorkingPaper",
institution = "Econometrics",
}