In this paper some new fields of application of Hirsch-related statistics are presented. Furthermore, so far unrevealed properties
of the h-index are analysed in the context of rank-frequency and extreme-value statistics.
The development of publication activity and citation impact in Scandinavian countries is studied for the 1980–1997 period. Besides the analysis of trends in publication and citation patterns and of national publication profiles, an attempt is made to find statistical evidences of the relation between international co-authorship and both research profile and citation impact in the Nordic countries. A coherent Scandinavian cluster has been found, and the Nordic countries have strong co-authorship links with highly developed countries in West Europe and North America. It was found that international co-authorship, in general, results in publications with higher citation rates than purely domestic papers. International collaboration has, however, not the same influence on publication profiles and citation impact of each analysed countries.
The tail properties of scientometric distributions are studied in the light of the h-index and the characteristic scores and
scales. A statistical test for the h-core is presented and illustrated using the example of four selected authors. Finally,
the mathematical relationship between the h-index and characteristic scores and scales is analysed. The results give new insights
into important properties of rank-frequency and extreme-value statistics derived from scientometric and informetric processes.
In recent studies the issue of the relatedness between journal impact factors and other measures of journal impact have been
raised and discussed from both merely empirical and theoretical perspectives. Models of the underlying citation processes
suggest distributions with two or more free parameters. Proceeding from the relation between the journals’ mean citation rate
and uncitedness and the assumption of an underlying Generalised Waring Distribution (GWD) model, it is found that the journal
impact factor alone does not sufficiently describe a journal’s citation impact, while a two-parameter solution appropriately
reflects its main characteristics. For the analysis of highly cited publications an additional model derived from the same
GWD is suggested. This approach results in robust, comprehensible and interpretable solutions that can readily be applied
in evaluative bibliometrics.