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informetric model for the Hirsch-index . Scientometrics 2006 69 1 121 – 129 10.1007/s11192-006-0143-8 . Franceschini , F , Galetto , M , Maisano , D 2007 Management by measurement: Designing key

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. Journal of the American Society for Information Science and Technology 57 9 1275 – 1278 10.1002/asi.20354 . Csajbok , E , Berhidi , A , Vasas , L , Schubert , A 2007 Hirsch-index for countries

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Hirsch index's operational properties . European Journal of Operational Research 203 2 494 – 504 10.1016/j.ejor.2009.08.001 . Franceschini , F , Maisano , D 2011 Criticism on the hg

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2006 Comparison of the Hirsch-index with standard bibliometric indicators and with peer judgment for 147 chemistry research groups . Scientometrics 67 : 491 – 502 . Vinkler , P

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total set (e.g. the papers worldwide, see ISI, ESI). According to the Hirsch-method (Hirsch 2005 ), out of the papers ranked by a decreasing number of citations, the publications which have equal or lower rank numbers than the Hirsch-index, may

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, Thabut , D , Munteanu , M , Ratziu , V , Benhamou , Y , Deckmyn , O 2010 Hirsch index and truth survival in clinical research . PLoS ONE 5 : e12044 10.1371/journal.pone.0012044 . Redner , S

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Abstract  

From a list of papers of an author, ranked in decreasing order of the number of citations to these papers one can calculate this author’s Hirsch index (or h-index). If this is done for a group of authors (e.g. from the same institute) then we can again list these authors in decreasing order of their h-indices and from this, one can calculate the h-index of (part of) this institute. One can go even further by listing institutes in a country in decreasing order of their h-indices and calculate again the h-index as described above. Such h-indices are called by Schubert [2007] “successive” h-indices. In this paper we present a model for such successive h-indices based on our existing theory on the distribution of the h-index in Lotkaian informetrics. We show that, each step, involves the multiplication of the exponent of the previous h-index by 1/α where α > 1 is a Lotka exponent. We explain why, in general, successive h-indices are decreasing. We also introduce a global h-index for which tables of individuals (authors, institutes,...) are merged. We calculate successive and global h-indices for the (still active) D. De Solla Price awardees.

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Abstract  

For determining the eminence of scientific journals, a new indicator stressing the importance of papers in the “elite set” (i.e., highly cited papers) is suggested. The number of papers in the elite set (P πv) is calculated with the equation: (10 log P) − 10, where P is the total number of papers in the set. The one-hundredth of citations (C) obtained by P πv papers is regarded as the πv-index which is field and time dependent. The πv-index is closely correlated with the citedness (C/P) of P πv papers, and it is also correlated with the Hirsch-index. Three types of Hirsch-sets are distinguished, depending on the relation of the number of citations received by the Hirsch-paper (ranked as h) and the paper next in rank (h + 1) by citation. The h-index of an Anomalous Hirsch-set (AH) may be increased by a single citation to a paper outside the Hirsch-core. (A set of papers may be regarded as AH, where the number of citations to the Hirsch-paper is higher than the h-index and the next paper in rank shows as many citations as the value of the h-index.)

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bibliometric characteristics [Hirsch-index (h-index)], mean citations per publication, total number of publications, total citation count, and year of first publication) of the research output of anaesthetists in higher specialist training in Ireland. The

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informetric model for the Hirsch-index . Scientometrics 69 1 121 – 129 10.1007/s11192-006-0143-8 . Fang , A. L. , Gao , Q. S. , & Zhang , S. Y. ( 2007 ). A study on the test of power-law distribution

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