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Abstract  

The uncitedness factor of a journal is its fraction of uncited articles. Given a set of journals (e.g. in a field) we can determine the rank-order distribution of these uncitedness factors. Hereby we use the Central Limit Theorem which is valid for uncitedness factors since it are fractions, hence averages. A similar result was proved earlier for the impact factors of a set of journals. Here we combine the two rank-order distributions, hereby eliminating the rank, yielding the functional relation between the impact factor and the uncitedness factor. It is proved that the decreasing relation has an S-shape: first convex, then concave and that the inflection point is in the point (μ′, μ) where μ is the average of the impact factors and μ′ is the average of the uncitedness factors.

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Why with bibliometrics the Humanities does not need to be the weakest link

Indicators for research evaluation based on citations, library holdings, and productivity measures

Scientometrics
Author: A. Linmans

Abstract  

In this study an attempt is made to establish new bibliometric indicators for the assessment of research in the Humanities. Data from a Dutch Faculty of Humanities was used to provide the investigation a sound empirical basis. For several reasons (particularly related to coverage) the standard citation indicators, developed for the sciences, are unsatisfactory. Target expanded citation analysis and the use of oeuvre (lifetime) citation data, as well as the addition of library holdings and productivity indicators enable a more representative and fair assessment. Given the skew distribution of population data, individual rankings can best be determined based on log transformed data. For group rankings this is less urgent because of the central limit theorem. Lifetime citation data is corrected for professional age by means of exponential regression.

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CHATTERJI, S. D., A principle of subsequences in probability theory: The central limit theorem, Adv. Math. 13 (1974), 31-54; correction, ibid. 14 (1974), 266-269. MR 49 #6312 A principle of subsequences in probability theory

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2010 PAP, G., Central limit theorems on nilpotent Lie groups, Probab. Math. Statist. 14 (1993), 287-312. MR 96c :22010 Central limit theorems on nilpotent Lie

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Bolthausen, E. , On a functional central limit theorem for random walks conditioned to stay positive, The Annals of Probability , 4 , No. 3, 480–485, 1976. Bolthausen E. On a functional

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Hamana, Y. , On the central limit theorem for the multiple point range of random walk, J. Fac. Sci. Univ. Tokyo 39 (1992), 339–363. MR 93h :60112 Hamana Y. On the central

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Fukuyama, K. , The central limit theorem for Riesz-Raikov sums, Prob. Theory Related Fields , 100 (1994), no. 1, 57–75. MR 1292190 ( 95i :60020) Fukuyama K. The central limit theorem

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Zhang, L. X. , A functional central limit theorem for asymptotically negatively dependent random fields, Acta Math. Hungar. , 86 (3) (2000a), 237–259. MR 1756175 ( 2001c :60055) Zhang L. X

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589 Bradley, R. C. , A central limit theorem for stationary ρ -mixing sequences with infinite variance, Ann. Probab. , 16 (1988), 313–332. MR 89a :60053

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] Hall , P. , Heyde , C. C. 1980 Martingale Limit Theory and Its Applications Academic Press New York . [6] Johnson , O. , Samworth , R. 2005 Central limit theorem and convergence to

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