RonaldRousseau

395Publications

38H-index

6,699Citations

Publications 395

Newest*
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Estimated H-index: 25

Estimated H-index: 38

Abstract In this article we solve a minimum problem involving step functions. The solution of this problem leads to an investigation into generalized h- and g-indices. This minimum problem and the related generalized h- and g-indices are studied in a general context of decreasing differentiable functions as well as in the specific case of Lotkaian informetrics. The study illustrates the use of h-and g-indices and their generalizations in a context which bears no relation to the research evaluati...

Do citation chimeras exist? The case of under‐cited influential articles suffering delayed recognition*
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Estimated H-index: 7

Estimated H-index: 38

Estimated H-index: 1

Estimated H-index: 1

Estimated H-index: 2

Abstract We propose a new method for computing the bibliographic coupling strength between two documents. This new method is based on the TF-IDF formula from the field of information retrieval. It is shown that this formula is a valid alternative for the original formula introduced by Kessler and is, from a probabilistic point of view, a correction of the Vladutz-Cook formula. We further define a cosine based similarity formula generalizing the Sen-Gan coupling angle formula.

Estimated H-index: 25

Estimated H-index: 38

We obtain a remarkable geometric relation between the Lorenz curve of a non-negative, continuous, decreasing function Z(r) and the h-index of integrals defined over a subinterval of the domain of Z(r). This result leads to a new geometric interpretation of the h-index of Z.

Estimated H-index: 13

Estimated H-index: 38

Estimated H-index: 9

Abstract We develop and propose a new counting method at the aggregate level for contributions to scientific publications called modified fractional counting (MFC). We show that, compared to traditional complete-normalized fractional counting, it eliminates the extreme differences in contributions over time that otherwise occur between scientists that mainly publish alone or in small groups and those that publish with large groups of co-authors. As an extra benefit we find that scientists in dif...

Estimated H-index: 9

Estimated H-index: 38

Published on Apr 1, 2019

Estimated H-index: 19

Estimated H-index: 38

We study the array of partial sums, PX, of a given array X in terms of its h-type indices. Concretely, we obtain sharp lower and upper bounds for these h-type indices. Moreover, we show that h(PX) can be described in terms of the Lorenz curve of the array X.

Estimated H-index: 38

Estimated H-index: 19

Estimated H-index: 38

Estimated H-index: 25

Estimated H-index: 38

Abstract Starting from the notion of h-type indices for infinite sequences we investigate if these indices satisfy natural inequalities related to the arithmetic, the geometric and the harmonic mean. If f denotes an h-type index, such as the h- or the g-index, then we investigate inequalities such as min(f(X),f(Y)) ≤ f((X + Y)/2) ≤ max(f(X), f(Y)). We further investigate if: f(min(X,Y)) = min(f(X),f(Y)) and if f(max(X,Y)) = max(f(X),f(Y)). It is shown that the h-index satisfies all the equalitie...

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