کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1138431 | 1489213 | 2006 | 12 صفحه PDF | دانلود رایگان |
This paper extends the Lorenz theory, developed in [L. Egghe, R. Rousseau, Symmetric and asymmetric theory of relative concentration and applications, Scientometrics 52 (2) (2001) 261–290], so that it can deal with comparing arrays of variable length. We show that in this case we need to divide the Lorenz curves by certain types of increasing functions of the array length NN.We then prove that, in this theory, adding zeros to two arrays increases their similarity, a property that is not satisfied by the Pearson correlation coefficient.Among the many good similarity measures satisfying the developed Lorenz theory, we deduce the correlation coefficient of Spearman, hence showing that this measure can be used as a good measure of symmetric relative concentration (or similarity).
Journal: Mathematical and Computer Modelling - Volume 44, Issues 7–8, October 2006, Pages 628–639