发文-引文分布中h指数和e指数的比率模型及其理论分析

摘要/Abstract

摘要：

本文基于漂移幂函数和负指数函数构建e指数和h指数的比率模型，并用学科、期刊、国家和机构层面数据进行实证研究。结果显示：漂移幂函数高估e/h而负指数函数低估e/h。深入分析发现，除系统误差外，h核样本点的高度随机性是影响模型精度的主要因素。由于h核数据所占比例很小，并且漂移幂函数和负指数函数具有良好的理论分析特性，因此认为e指数和h指数的比率模型可用于一般理论参考。

关键词:

e指数, h指数, 比率模型, 漂移幂函数, 负指数函数

Abstract:

Two models, namely, the shifted power function (SPF) and the decreasing exponential function (DEF), are introduced to estimate the ratio of e-index and h-index (e/h) in publication-citation distribution. With data from perspectives of discipline, journal, country and institution, it is revealed that
SPF overestimates e/h while DEF underestimates e/h. Deeper analysis finds that the high randomness of sample points in h-core is the main factor affecting models’ accuracy. Considering h-core’s small proportion in the entire publication-citation distribution, and the good property of SPF and DEF for the
oretical analysis, it concludes that ratio models of e-index and h-index can be used as general theoretical references.

Key words:

e-index, h-index, Ratio model, The shifted power function, The decreasing exponential function

戚尔鹏叶鹰. 发文-引文分布中h指数和e指数的比率模型及其理论分析[J]. 图书馆杂志, 2017, 36(5): 62-71.

Eric P. Qi, Fred Y. Ye. The Ratio Model of h-index and e-index in Publication Citation Distribution with Theoretical Analysis[J]. Libraly Journal, 2017, 36(5): 62-71.

参考文献

[ 1 ] 叶鹰. 国际学术评价指标研究现状及发展综述[J]. 情报学报, 2014, 33(2): 215-224.

[ 2 ] Hirsch J E. An index to quantify an individual’s scientific research output[J]. Proceedings of the National Academy of Sciences of the United States of America, 2005, 102(46): 16569-16572.

[ 3 ] Zhang C T. The e-index, complementing the h-index for excess citations[J]. PLoS ONE, 2009(4): e5429.

[ 4 ] Ye F Y, Rouseau R. Probing the H-core: An investigation of the tail-core ratio for rank distributions[J]. Scientometrics, 2010, 84(2): 431-439.

[ 5 ] Chen D Z, Huang M H, Fred Y Ye. A probe into dynamic measures for h-core and h-tail[J]. Journal of Informetrics, 2013, 7(1): 129-137.

[ 6 ] Liu J Q, Rousseau R, Wang M S, et al. Ratios of h-cores, h-tails and uncited sources in sets of scientific papers and technical patents[J]. Journal of Informetrics, 2013, 7(1): 190-197.

[ 7 ] Zhang C T. The e-index, effectively improving the h-index based on the citation distribution[J]. PLoS ONE, 2013(8): e59912.

[ 8 ] Ye F Y, Leydesdorff. The“academic trace”of the performance matrix: A mathematical synthesis of the h-index and the intergrated impact indocator(I3)[J].Journal of the American Society for Information Science and Technology, 2014, 65(4): 742-750.

[ 9 ] 薛霏, 叶鹰. 大学的学术矩阵和学术迹探讨[J]. 大学图书馆学报, 2014 (1): 25-29.

[10] 叶鹰, 唐健辉, 赵星. h指数和h型指数研究[M]. 北京: 北京科学出版社: 2011.

[11] 万锦堃, 花平寰, 赵呈刚. 中国部分重点大学h指数的探讨[J]. 科学观察, 2007, 2(3): 9-16.

[12] Csajbok E, Berhidi A, Vasas L, et al. Hirsch-index for countries based on essential science indicators data[J]. Scientometrics, 2007, 73(1): 91-117.

[13] 马峥, 苏成, 潘云涛, 等. 中国国际科技合著论文的学科分布差异[J]. 科学学研究, 2008, 26(1): 66-69.

[14] Braun T, Glänzel W, Schubert A. A Hirsch-type index for journals[J]. Scientometrics, 2006, 69(1):169-173.

[15] 官建成, 高霞, 徐念龙. 运用h指数评价专利质量与国际比较[J]. 科学学研究, 2008, 26(5): 932-936.

[16] 赵星, 高小强, 何培. 科学基金h指数: 基金论文成果数量与影响力的综合衡量[J]. 中国科学基金,2009(1): 15-19.

[17] Egghe L, Rousseau R. An informetric model for the Hirsch-index[J]. Scientometrics, 2006, 69(1): 121-129.

[18] Schubert A, Glänzel W. A systematic analysis of Hirsch-type indices for journals[J]. Journal of Informetrics, 2007, 1(2): 179-184.

[19] Ye F Y. An investigation on mathematical models of the h-index[J]. Scientometrics, 2009, 81(2): 493-498.

[20] Ye F Y. A unification of three models for the h-index[J]. Journal of the American Society for Information Science and Technology, 2011, 62(1):205-207.

[21] Zipf G K. Human behavior and the principle of least effort[M]. Cambridge/Massachusetts: Addison-Wesley Press, 1949.

[22] Lotka A J. The frequency distribution of scientific productivity[J]. Journal of the Washington Academy of Sciences, 1926, 16(12): 317-324.

[23] Burrell Q L. Extending Lotkaianinformetrics[J].Information Processing and Management, 2008,44(5): 1794-1807.

[24] Egghe L, Rousseau R. The Hirsch index of a shifted Lotka function and its relation with the impact factor[J]. Journal of the American Society for Information Science and Technology, 2012, 63(5):1048-1053.

[25] Glänzel W. The role of the h-index and the characteristic scores and scales in testing the tail properties of scientometricdistributions[J].Scientometrics, 2010, 83(3): 697-709.

[26] Rousseau R. Relations between continuous versions of bibliometricslaws[J]. Journal of the American Society for Information Science and Technology,1990, 41(3): 197-203.

[27] Ye F Y. A progress on the shifted power function for modeling informetriclaws[J]. Malaysian Journal of Library and Information Science, 2014, 19(1): 1-15.

[28] Egghe L, Rousseau R. Theory and practice of the shifted Lotkafunction[J]. Scientometrics, 2012, 91(1):295-301.

[29] Rousseau R. Modelling some structural indicators in an h-index context: A shifted zipf and a decreasing exponential model[EB/OL]. [2016-10-25]. http://eprints. rclis. org/19896/.

[30] Yuan X Y, Hua W N, Rousseau R, et al. A preliminary study of the relationship between the h-index and excess citations[J]. Canadian Journal of Information and Library Science, 2014, 38(2): 127-144.

[31] Durrett R. Probability: Theory and Examples[M].New York: Combridge University Press, 2010.

[32] Newman M E J. Power laws, Pareto distributions and Zipf’slaw[J]. Contemporary Physics, 2005, 46(5):323-351.

[33] 戚尔鹏, 叶鹰. 漂移幂函数的数值拟合与理论分析[J]. 情报学报, 2016, 35(12): 1285-1295.

[1]	王贤文. 从特殊到一般的科学计量学方法 ——《H型指数和H型测度研究》书评[J]. 图书馆杂志, 2021, 40(1): 104-106.
[2]	张品慧张瑜婷赵星. 多维h分布：广义h测度及其应用探索[J]. 图书馆杂志, 2018, 37(4): 18-26.
[3]	王铁梅,吴志荣. 学术图书核心出版社测定方法比较研究——以法律类图书出版社为例[J]. 图书馆杂志, 2013, 32(6): 30-35.