CITATION AGE DATA AND THE OBSOLESCENCE FUNCTION - FITS AND EXPLANTATIONS
CITATION AGE DATA AND THE OBSOLESCENCE FUNCTION - FITS AND EXPLANTATIONS
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DOI：
10.1016/0306-4573(92)90046-3
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发表时间：
1992-01-01
影响因子：
8.6
通讯作者：
RAO, IKR
中科院分区：
文献类型：
--
作者：
EGGHE, L;RAO, IKR
本文讨论了过时函数的形状，可以根据参考文献列表的年龄数据构建该函数。本文表明，废弃因子（老化因子）a 不是一个常数，而仅仅是时间的函数。这会危及这一因素作为一项有用的措施。我们（通过实验和数学）表明函数 a 具有最小值，该最小值是在比引用次数达到最大值的时间晚的时间 t 获得的。然后，我们使用对数正态分布拟合引文数据集（其他分布不太拟合）。使用该函数 a 进行的分析计算对于这些数据确实有效。这些论证还产生了效用函数 u 和总效用 U 的描述。后者可用于比较各个主题文献的“总寿命”。
The paper deals with the shape of the obsolescence function, which one can construct, based on the age data of reference lists. This paper shows that the obsolescence factor (aging factor) a is not a constant but merely a function of time. This jeopardizes this factor as a useful measure. We show (by experiment and also mathematically) that the function a has a minimum, which is obtained at a time t later than the time at which the maximum of the number of citations is reached. We then fit sets of citation data by using the lognormal distribution (other distributions do not fit well). Analytical calculations with this function a are indeed valid for these data. These arguments also yield a description of the utility function u and the total utility U. The latter can be used in comparing the "total lives" of the literature in various subjects.