Document (#32626)

Author
Burrell, Q.L.
Title
Egghe's construction of Lorenz curves resolved
Source
Journal of the American Society for Information Science and Technology. 58(2007) no.13, S.2157-2159
Year
2007
Series
Brief communication
Abstract
In a recent article (Burrell, 2006), the author pointed out that the version of Lorenz concentration theory presented by Egghe (2005a, 2005b) does not conform to the classical statistical/econometric approach. Rousseau (2007) asserts confusion on our part and a failure to grasp Egghe's construction, even though we simply reported what Egghe stated. Here the author shows that Egghe's construction rather than including the standard case, as claimed by Rousseau, actually leads to the Leimkuhler curve of the dual function, in the sense of Egghe. (Note that here we distinguish between the Lorenz curve, a convex form arising from ranking from smallest to largest, and the Leimkuhler curve, a concave form arising from ranking from largest to smallest. The two presentations are equivalent. See Burrell, 1991, 2005; Rousseau, 2007.)
Theme
Informetrie

Similar documents (author)

  1. Burrell, Q.L.: Will this paper ever be cited? (2002) 5.65
    5.6473675 = sum of:
      5.6473675 = weight(author_txt:burrell in 5184) [ClassicSimilarity], result of:
        5.6473675 = fieldWeight in 5184, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          9.035788 = idf(docFreq=13, maxDocs=43254)
          0.625 = fieldNorm(doc=5184)
    
  2. Burrell, Q.L.: Fitting Lotka's law : some cautionary observations on a recent paper by Newby et al. (2003) (2004) 5.65
    5.6473675 = sum of:
      5.6473675 = weight(author_txt:burrell in 1236) [ClassicSimilarity], result of:
        5.6473675 = fieldWeight in 1236, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          9.035788 = idf(docFreq=13, maxDocs=43254)
          0.625 = fieldNorm(doc=1236)
    
  3. Burrell, Q.L.: "Ambiguity" ans scientometric measurement : a dissenting view (2001) 5.65
    5.6473675 = sum of:
      5.6473675 = weight(author_txt:burrell in 1982) [ClassicSimilarity], result of:
        5.6473675 = fieldWeight in 1982, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          9.035788 = idf(docFreq=13, maxDocs=43254)
          0.625 = fieldNorm(doc=1982)
    
  4. Burrell, Q.L.: "Type/Token-Taken" informetrics : Some comments and further examples (2003) 5.65
    5.6473675 = sum of:
      5.6473675 = weight(author_txt:burrell in 4117) [ClassicSimilarity], result of:
        5.6473675 = fieldWeight in 4117, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          9.035788 = idf(docFreq=13, maxDocs=43254)
          0.625 = fieldNorm(doc=4117)
    
  5. Burrell, Q.L.: Measuring similarity of concentration between different informetric distributions : two new approaches (2005) 5.65
    5.6473675 = sum of:
      5.6473675 = weight(author_txt:burrell in 5411) [ClassicSimilarity], result of:
        5.6473675 = fieldWeight in 5411, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          9.035788 = idf(docFreq=13, maxDocs=43254)
          0.625 = fieldNorm(doc=5411)
    

Similar documents (content)

  1. Burrell, Q.L.: On Egghe's version of continuous concentration theory (2006) 0.73
    0.73374784 = sum of:
      0.73374784 = product of:
        2.292962 = sum of:
          0.08460782 = weight(abstract_txt:conform in 904) [ClassicSimilarity], result of:
            0.08460782 = score(doc=904,freq=1.0), product of:
              0.09746001 = queryWeight, product of:
                1.0115943 = boost
                7.9371753 = idf(docFreq=41, maxDocs=43254)
                0.012138194 = queryNorm
              0.86812854 = fieldWeight in 904, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.9371753 = idf(docFreq=41, maxDocs=43254)
                0.109375 = fieldNorm(doc=904)
          0.1521588 = weight(abstract_txt:concentration in 904) [ClassicSimilarity], result of:
            0.1521588 = score(doc=904,freq=3.0), product of:
              0.09993335 = queryWeight, product of:
                1.02435 = boost
                8.037259 = idf(docFreq=37, maxDocs=43254)
                0.012138194 = queryNorm
              1.5226028 = fieldWeight in 904, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                8.037259 = idf(docFreq=37, maxDocs=43254)
                0.109375 = fieldNorm(doc=904)
          0.057050668 = weight(abstract_txt:here in 904) [ClassicSimilarity], result of:
            0.057050668 = score(doc=904,freq=1.0), product of:
              0.09442129 = queryWeight, product of:
                1.4081312 = boost
                5.5242424 = idf(docFreq=468, maxDocs=43254)
                0.012138194 = queryNorm
              0.604214 = fieldWeight in 904, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.5242424 = idf(docFreq=468, maxDocs=43254)
                0.109375 = fieldNorm(doc=904)
          0.08393194 = weight(abstract_txt:construction in 904) [ClassicSimilarity], result of:
            0.08393194 = score(doc=904,freq=1.0), product of:
              0.13981208 = queryWeight, product of:
                2.098583 = boost
                5.4886365 = idf(docFreq=485, maxDocs=43254)
                0.012138194 = queryNorm
              0.6003196 = fieldWeight in 904, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.4886365 = idf(docFreq=485, maxDocs=43254)
                0.109375 = fieldNorm(doc=904)
          0.39268458 = weight(abstract_txt:curve in 904) [ClassicSimilarity], result of:
            0.39268458 = score(doc=904,freq=2.0), product of:
              0.3104172 = queryWeight, product of:
                3.1269913 = boost
                8.178337 = idf(docFreq=32, maxDocs=43254)
                0.012138194 = queryNorm
              1.2650219 = fieldWeight in 904, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                8.178337 = idf(docFreq=32, maxDocs=43254)
                0.109375 = fieldNorm(doc=904)
          0.3318637 = weight(abstract_txt:egghe in 904) [ClassicSimilarity], result of:
            0.3318637 = score(doc=904,freq=1.0), product of:
              0.34959593 = queryWeight, product of:
                3.318463 = boost
                8.679112 = idf(docFreq=19, maxDocs=43254)
                0.012138194 = queryNorm
              0.94927794 = fieldWeight in 904, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.679112 = idf(docFreq=19, maxDocs=43254)
                0.109375 = fieldNorm(doc=904)
          0.52959865 = weight(abstract_txt:lorenz in 904) [ClassicSimilarity], result of:
            0.52959865 = score(doc=904,freq=2.0), product of:
              0.37892023 = queryWeight, product of:
                3.454838 = boost
                9.035788 = idf(docFreq=13, maxDocs=43254)
                0.012138194 = queryNorm
              1.397652 = fieldWeight in 904, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                9.035788 = idf(docFreq=13, maxDocs=43254)
                0.109375 = fieldNorm(doc=904)
          0.66106594 = weight(abstract_txt:egghe's in 904) [ClassicSimilarity], result of:
            0.66106594 = score(doc=904,freq=2.0), product of:
              0.43928504 = queryWeight, product of:
                3.7198634 = boost
                9.728935 = idf(docFreq=6, maxDocs=43254)
                0.012138194 = queryNorm
              1.5048679 = fieldWeight in 904, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                9.728935 = idf(docFreq=6, maxDocs=43254)
                0.109375 = fieldNorm(doc=904)
        0.32 = coord(8/25)
    
  2. Rousseau, R.: On Egghe's construction of Lorenz curves (2007) 0.52
    0.51655114 = sum of:
      0.51655114 = product of:
        2.5827556 = sum of:
          0.17569786 = weight(abstract_txt:concentration in 2522) [ClassicSimilarity], result of:
            0.17569786 = score(doc=2522,freq=1.0), product of:
              0.09993335 = queryWeight, product of:
                1.02435 = boost
                8.037259 = idf(docFreq=37, maxDocs=43254)
                0.012138194 = queryNorm
              1.7581505 = fieldWeight in 2522, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.037259 = idf(docFreq=37, maxDocs=43254)
                0.21875 = fieldNorm(doc=2522)
          0.16786388 = weight(abstract_txt:construction in 2522) [ClassicSimilarity], result of:
            0.16786388 = score(doc=2522,freq=1.0), product of:
              0.13981208 = queryWeight, product of:
                2.098583 = boost
                5.4886365 = idf(docFreq=485, maxDocs=43254)
                0.012138194 = queryNorm
              1.2006392 = fieldWeight in 2522, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.4886365 = idf(docFreq=485, maxDocs=43254)
                0.21875 = fieldNorm(doc=2522)
          0.5553399 = weight(abstract_txt:curve in 2522) [ClassicSimilarity], result of:
            0.5553399 = score(doc=2522,freq=1.0), product of:
              0.3104172 = queryWeight, product of:
                3.1269913 = boost
                8.178337 = idf(docFreq=32, maxDocs=43254)
                0.012138194 = queryNorm
              1.7890112 = fieldWeight in 2522, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.178337 = idf(docFreq=32, maxDocs=43254)
                0.21875 = fieldNorm(doc=2522)
          0.74896556 = weight(abstract_txt:lorenz in 2522) [ClassicSimilarity], result of:
            0.74896556 = score(doc=2522,freq=1.0), product of:
              0.37892023 = queryWeight, product of:
                3.454838 = boost
                9.035788 = idf(docFreq=13, maxDocs=43254)
                0.012138194 = queryNorm
              1.9765785 = fieldWeight in 2522, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                9.035788 = idf(docFreq=13, maxDocs=43254)
                0.21875 = fieldNorm(doc=2522)
          0.9348884 = weight(abstract_txt:egghe's in 2522) [ClassicSimilarity], result of:
            0.9348884 = score(doc=2522,freq=1.0), product of:
              0.43928504 = queryWeight, product of:
                3.7198634 = boost
                9.728935 = idf(docFreq=6, maxDocs=43254)
                0.012138194 = queryNorm
              2.1282046 = fieldWeight in 2522, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                9.728935 = idf(docFreq=6, maxDocs=43254)
                0.21875 = fieldNorm(doc=2522)
        0.2 = coord(5/25)
    
  3. Egghe, L.: Zipfian and Lotkaian continuous concentration theory (2005) 0.15
    0.1463339 = sum of:
      0.1463339 = product of:
        0.9145869 = sum of:
          0.15370363 = weight(abstract_txt:concentration in 5679) [ClassicSimilarity], result of:
            0.15370363 = score(doc=5679,freq=6.0), product of:
              0.09993335 = queryWeight, product of:
                1.02435 = boost
                8.037259 = idf(docFreq=37, maxDocs=43254)
                0.012138194 = queryNorm
              1.5380614 = fieldWeight in 5679, product of:
                2.4494898 = tf(freq=6.0), with freq of:
                  6.0 = termFreq=6.0
                8.037259 = idf(docFreq=37, maxDocs=43254)
                0.078125 = fieldNorm(doc=5679)
          0.099245355 = weight(abstract_txt:curves in 5679) [ClassicSimilarity], result of:
            0.099245355 = score(doc=5679,freq=2.0), product of:
              0.10767171 = queryWeight, product of:
                1.063271 = boost
                8.342641 = idf(docFreq=27, maxDocs=43254)
                0.012138194 = queryNorm
              0.9217403 = fieldWeight in 5679, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                8.342641 = idf(docFreq=27, maxDocs=43254)
                0.078125 = fieldNorm(doc=5679)
          0.19833566 = weight(abstract_txt:curve in 5679) [ClassicSimilarity], result of:
            0.19833566 = score(doc=5679,freq=1.0), product of:
              0.3104172 = queryWeight, product of:
                3.1269913 = boost
                8.178337 = idf(docFreq=32, maxDocs=43254)
                0.012138194 = queryNorm
              0.6389326 = fieldWeight in 5679, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.178337 = idf(docFreq=32, maxDocs=43254)
                0.078125 = fieldNorm(doc=5679)
          0.46330228 = weight(abstract_txt:lorenz in 5679) [ClassicSimilarity], result of:
            0.46330228 = score(doc=5679,freq=3.0), product of:
              0.37892023 = queryWeight, product of:
                3.454838 = boost
                9.035788 = idf(docFreq=13, maxDocs=43254)
                0.012138194 = queryNorm
              1.2226908 = fieldWeight in 5679, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                9.035788 = idf(docFreq=13, maxDocs=43254)
                0.078125 = fieldNorm(doc=5679)
        0.16 = coord(4/25)
    
  4. Woeginger, G.J.: Generalizations of Egghe's g-index (2009) 0.14
    0.13662964 = sum of:
      0.13662964 = product of:
        1.1385803 = sum of:
          0.067985676 = weight(abstract_txt:ranking in 4858) [ClassicSimilarity], result of:
            0.067985676 = score(doc=4858,freq=1.0), product of:
              0.097091176 = queryWeight, product of:
                1.4279008 = boost
                5.6018004 = idf(docFreq=433, maxDocs=43254)
                0.012138194 = queryNorm
              0.70022506 = fieldWeight in 4858, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                5.6018004 = idf(docFreq=433, maxDocs=43254)
                0.125 = fieldNorm(doc=4858)
          0.5363727 = weight(abstract_txt:egghe in 4858) [ClassicSimilarity], result of:
            0.5363727 = score(doc=4858,freq=2.0), product of:
              0.34959593 = queryWeight, product of:
                3.318463 = boost
                8.679112 = idf(docFreq=19, maxDocs=43254)
                0.012138194 = queryNorm
              1.5342648 = fieldWeight in 4858, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                8.679112 = idf(docFreq=19, maxDocs=43254)
                0.125 = fieldNorm(doc=4858)
          0.53422195 = weight(abstract_txt:egghe's in 4858) [ClassicSimilarity], result of:
            0.53422195 = score(doc=4858,freq=1.0), product of:
              0.43928504 = queryWeight, product of:
                3.7198634 = boost
                9.728935 = idf(docFreq=6, maxDocs=43254)
                0.012138194 = queryNorm
              1.2161169 = fieldWeight in 4858, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                9.728935 = idf(docFreq=6, maxDocs=43254)
                0.125 = fieldNorm(doc=4858)
        0.12 = coord(3/25)
    
  5. Kretschmer, H.; Rousseau, R.: Author inflation leads to a breakdown of Lotka's law : in and out of context (2001) 0.10
    0.10169844 = sum of:
      0.10169844 = product of:
        0.6356153 = sum of:
          0.029926045 = weight(abstract_txt:author in 206) [ClassicSimilarity], result of:
            0.029926045 = score(doc=206,freq=1.0), product of:
              0.076856576 = queryWeight, product of:
                1.2704239 = boost
                4.9840026 = idf(docFreq=804, maxDocs=43254)
                0.012138194 = queryNorm
              0.3893752 = fieldWeight in 206, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.9840026 = idf(docFreq=804, maxDocs=43254)
                0.078125 = fieldNorm(doc=206)
          0.010393304 = weight(abstract_txt:from in 206) [ClassicSimilarity], result of:
            0.010393304 = score(doc=206,freq=1.0), product of:
              0.04784397 = queryWeight, product of:
                1.4175447 = boost
                2.7805862 = idf(docFreq=7289, maxDocs=43254)
                0.012138194 = queryNorm
              0.2172333 = fieldWeight in 206, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                2.7805862 = idf(docFreq=7289, maxDocs=43254)
                0.078125 = fieldNorm(doc=206)
          0.2614072 = weight(abstract_txt:rousseau in 206) [ClassicSimilarity], result of:
            0.2614072 = score(doc=206,freq=1.0), product of:
              0.37315586 = queryWeight, product of:
                3.4284587 = boost
                8.966795 = idf(docFreq=14, maxDocs=43254)
                0.012138194 = queryNorm
              0.7005309 = fieldWeight in 206, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.966795 = idf(docFreq=14, maxDocs=43254)
                0.078125 = fieldNorm(doc=206)
          0.33388874 = weight(abstract_txt:egghe's in 206) [ClassicSimilarity], result of:
            0.33388874 = score(doc=206,freq=1.0), product of:
              0.43928504 = queryWeight, product of:
                3.7198634 = boost
                9.728935 = idf(docFreq=6, maxDocs=43254)
                0.012138194 = queryNorm
              0.76007307 = fieldWeight in 206, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                9.728935 = idf(docFreq=6, maxDocs=43254)
                0.078125 = fieldNorm(doc=206)
        0.16 = coord(4/25)