A probabilistic model is presented to estimate the number of lost multi-copy documents, based on retrieved ones. For this, we only need the number of retrieved documents of which we have one copy and the number of retrieved documents of which we have two copies. If we also have the number of...

The recently awakened discussion on the usability of averages of ratios (AoR) compared to ratios of averages (RoA) has led to the mathematical results in this paper. Based on the empirical results in Larivière and Gingras (2011) we prove, under reasonable conditions, the following relations...

Experimental data [Mansilla, R., Köppen, E., Cocho, G., & Miramontes, P. (2007). On the behavior of journal impact factor rank-order distribution. Journal of Informetrics, 1(2), 155–160] reveal that, if one ranks a set of journals (e.g. in a field) in decreasing order of their impact factors,...

Based on the rank-order citation distribution of e.g. a researcher, one can define certain points on this distribution, hereby summarizing the citation performance of this researcher. Previous work of Glänzel and Schubert defined these so-called “characteristic scores and scales” (CSS),...

End of 2011, the Journal of Informetrics (Elsevier) existed five years. We overview its scope, published articles (topics, co-authorship, authors’ countries), editorial decisions, editorial and production times, impact factor and article downloads aspects. Finally we present a local citation...

We give a heuristic proof of the relation between the impact factor (IF) and the uncitedness factor (U), the fraction of the papers that are uncited:U=11+IF

Evolution of information production processes (IPPs) can be described by a general transformation function for the sources and for the items. It generalises the Fellman–Jakobsson transformation which only works on the items.

The well-known discrete theory of conjugate partitions, Ferrers graphs and Durfee squares is interpreted in informetrics. It is shown that partitions and their conjugates have the same h-index, a fact that is not true for the g- and R-index. A modification of Ferrers graph is presented, yielding...

The minimum configuration to have a h-index equal to h is h papers each having h citations, hence h2 citations in total. To increase the h-index to h+1 we minimally need (h+1)2 citations, an increment of I1(h)=2h+1. The latter number increases with 2 per unit increase of h. This increment of the...

General results on transformations on information production processes (IPPs), involving transformations of the h-index and related indices, are applied in concrete, simple cases: doubling the production per source, doubling the number of sources, doubling the number of sources but halving their...