Document (#25249)

Author
Huber, J.C.
Title
¬A new model that generated Lotka's law
Source
Journal of the American Society for Information Science and technology. 53(2002) no.3, S.209-219
Year
2002
Abstract
In this paper, we develop a new model for a process that generates Lotka's Law. We show that four relatively mild assumptions create a process that fits five different informetric distributions: rate of production, career duration, randomness, and Poisson distribution over time, as well as Lotka's Law. By simulation, we obtain good fits to three empirical samples that exhibit the extreme range of the observed parameters. The overall error is 7% or less. An advantage of this model is that the parameters can be linked to observable human factors. That is, the model is not merely descriptive, but also provides insight into the causes of differences between samples. Furthermore, the differences can be tested with powerful statistical tools
Theme
Informetrie
Object
Lotka-Gesetz

Similar documents (author)

  1. Huber, C.: Web of science (1999) 5.58
    5.5805492 = sum of:
      5.5805492 = weight(author_txt:huber in 3594) [ClassicSimilarity], result of:
        5.5805492 = fieldWeight in 3594, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          8.928879 = idf(docFreq=15, maxDocs=44421)
          0.625 = fieldNorm(doc=3594)
    
  2. Huber, J.T.: Controlled vocabulary for HIV/AIDS : an evolving nosological record of a diseased body of knowledge (1996) 5.58
    5.5805492 = sum of:
      5.5805492 = weight(author_txt:huber in 4656) [ClassicSimilarity], result of:
        5.5805492 = fieldWeight in 4656, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          8.928879 = idf(docFreq=15, maxDocs=44421)
          0.625 = fieldNorm(doc=4656)
    
  3. Huber, H.: Erfolgreiche Content-Strukturierung in grossen Organisationen (2001) 5.58
    5.5805492 = sum of:
      5.5805492 = weight(author_txt:huber in 6875) [ClassicSimilarity], result of:
        5.5805492 = fieldWeight in 6875, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          8.928879 = idf(docFreq=15, maxDocs=44421)
          0.625 = fieldNorm(doc=6875)
    
  4. Huber, J.C.: ¬A new method for analyzing scientific productivity (2001) 5.58
    5.5805492 = sum of:
      5.5805492 = weight(author_txt:huber in 845) [ClassicSimilarity], result of:
        5.5805492 = fieldWeight in 845, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          8.928879 = idf(docFreq=15, maxDocs=44421)
          0.625 = fieldNorm(doc=845)
    
  5. Huber, W.: Menschen, Götter und Maschinen : eine Ethik der Digitalisierung (2022) 5.58
    5.5805492 = sum of:
      5.5805492 = weight(author_txt:huber in 1753) [ClassicSimilarity], result of:
        5.5805492 = fieldWeight in 1753, product of:
          1.0 = tf(freq=1.0), with freq of:
            1.0 = termFreq=1.0
          8.928879 = idf(docFreq=15, maxDocs=44421)
          0.625 = fieldNorm(doc=1753)
    

Similar documents (content)

  1. Kretschmer, H.; Rousseau, R.: Author inflation leads to a breakdown of Lotka's law : in and out of context (2001) 0.17
    0.16703653 = sum of:
      0.16703653 = product of:
        0.83518267 = sum of:
          0.026531259 = weight(abstract_txt:process in 205) [ClassicSimilarity], result of:
            0.026531259 = score(doc=205,freq=1.0), product of:
              0.0838742 = queryWeight, product of:
                1.2846982 = boost
                4.048922 = idf(docFreq=2105, maxDocs=44421)
                0.01612456 = queryNorm
              0.31632203 = fieldWeight in 205, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                4.048922 = idf(docFreq=2105, maxDocs=44421)
                0.078125 = fieldNorm(doc=205)
          0.198366 = weight(abstract_txt:fits in 205) [ClassicSimilarity], result of:
            0.198366 = score(doc=205,freq=1.0), product of:
              0.32070175 = queryWeight, product of:
                2.5121038 = boost
                7.917278 = idf(docFreq=43, maxDocs=44421)
                0.01612456 = queryNorm
              0.6185373 = fieldWeight in 205, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.917278 = idf(docFreq=43, maxDocs=44421)
                0.078125 = fieldNorm(doc=205)
          0.050504398 = weight(abstract_txt:model in 205) [ClassicSimilarity], result of:
            0.050504398 = score(doc=205,freq=1.0), product of:
              0.16231275 = queryWeight, product of:
                2.5274248 = boost
                3.9827821 = idf(docFreq=2249, maxDocs=44421)
                0.01612456 = queryNorm
              0.31115484 = fieldWeight in 205, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                3.9827821 = idf(docFreq=2249, maxDocs=44421)
                0.078125 = fieldNorm(doc=205)
          0.018503988 = weight(abstract_txt:that in 205) [ClassicSimilarity], result of:
            0.018503988 = score(doc=205,freq=1.0), product of:
              0.10015118 = queryWeight, product of:
                2.6263282 = boost
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.01612456 = queryNorm
              0.18476056 = fieldWeight in 205, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.078125 = fieldNorm(doc=205)
          0.54127705 = weight(abstract_txt:lotka's in 205) [ClassicSimilarity], result of:
            0.54127705 = score(doc=205,freq=2.0), product of:
              0.5689708 = queryWeight, product of:
                4.098053 = boost
                8.610425 = idf(docFreq=21, maxDocs=44421)
                0.01612456 = queryNorm
              0.95132655 = fieldWeight in 205, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                8.610425 = idf(docFreq=21, maxDocs=44421)
                0.078125 = fieldNorm(doc=205)
        0.2 = coord(5/25)
    
  2. Egghe, L.: Untangling Herdan's law and Heaps' law : mathematical and informetric arguments (2007) 0.16
    0.16186889 = sum of:
      0.16186889 = product of:
        0.8093444 = sum of:
          0.15230839 = weight(abstract_txt:informetric in 1271) [ClassicSimilarity], result of:
            0.15230839 = score(doc=1271,freq=4.0), product of:
              0.15602076 = queryWeight, product of:
                1.2389766 = boost
                7.809647 = idf(docFreq=48, maxDocs=44421)
                0.01612456 = queryNorm
              0.9762059 = fieldWeight in 1271, product of:
                2.0 = tf(freq=4.0), with freq of:
                  4.0 = termFreq=4.0
                7.809647 = idf(docFreq=48, maxDocs=44421)
                0.0625 = fieldNorm(doc=1271)
          0.14581437 = weight(abstract_txt:parameters in 1271) [ClassicSimilarity], result of:
            0.14581437 = score(doc=1271,freq=2.0), product of:
              0.24057661 = queryWeight, product of:
                2.1757731 = boost
                6.8572807 = idf(docFreq=126, maxDocs=44421)
                0.01612456 = queryNorm
              0.6061037 = fieldWeight in 1271, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                6.8572807 = idf(docFreq=126, maxDocs=44421)
                0.0625 = fieldNorm(doc=1271)
          0.16586359 = weight(abstract_txt:samples in 1271) [ClassicSimilarity], result of:
            0.16586359 = score(doc=1271,freq=2.0), product of:
              0.26215243 = queryWeight, product of:
                2.2712443 = boost
                7.1581726 = idf(docFreq=93, maxDocs=44421)
                0.01612456 = queryNorm
              0.632699 = fieldWeight in 1271, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                7.1581726 = idf(docFreq=93, maxDocs=44421)
                0.0625 = fieldNorm(doc=1271)
          0.03916556 = weight(abstract_txt:that in 1271) [ClassicSimilarity], result of:
            0.03916556 = score(doc=1271,freq=7.0), product of:
              0.10015118 = queryWeight, product of:
                2.6263282 = boost
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.01612456 = queryNorm
              0.39106438 = fieldWeight in 1271, product of:
                2.6457512 = tf(freq=7.0), with freq of:
                  7.0 = termFreq=7.0
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.0625 = fieldNorm(doc=1271)
          0.30619252 = weight(abstract_txt:lotka's in 1271) [ClassicSimilarity], result of:
            0.30619252 = score(doc=1271,freq=1.0), product of:
              0.5689708 = queryWeight, product of:
                4.098053 = boost
                8.610425 = idf(docFreq=21, maxDocs=44421)
                0.01612456 = queryNorm
              0.53815156 = fieldWeight in 1271, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.610425 = idf(docFreq=21, maxDocs=44421)
                0.0625 = fieldNorm(doc=1271)
        0.2 = coord(5/25)
    
  3. Arsenault, C.: Aggregation consistency and frequency of Chinese words and characters (2006) 0.12
    0.119902216 = sum of:
      0.119902216 = product of:
        0.7493889 = sum of:
          0.12457349 = weight(abstract_txt:distributions in 734) [ClassicSimilarity], result of:
            0.12457349 = score(doc=734,freq=6.0), product of:
              0.11920282 = queryWeight, product of:
                1.0829669 = boost
                6.82627 = idf(docFreq=130, maxDocs=44421)
                0.01612456 = queryNorm
              1.0450549 = fieldWeight in 734, product of:
                2.4494898 = tf(freq=6.0), with freq of:
                  6.0 = termFreq=6.0
                6.82627 = idf(docFreq=130, maxDocs=44421)
                0.0625 = fieldNorm(doc=734)
          0.1586928 = weight(abstract_txt:fits in 734) [ClassicSimilarity], result of:
            0.1586928 = score(doc=734,freq=1.0), product of:
              0.32070175 = queryWeight, product of:
                2.5121038 = boost
                7.917278 = idf(docFreq=43, maxDocs=44421)
                0.01612456 = queryNorm
              0.49482986 = fieldWeight in 734, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.917278 = idf(docFreq=43, maxDocs=44421)
                0.0625 = fieldNorm(doc=734)
          0.03310094 = weight(abstract_txt:that in 734) [ClassicSimilarity], result of:
            0.03310094 = score(doc=734,freq=5.0), product of:
              0.10015118 = queryWeight, product of:
                2.6263282 = boost
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.01612456 = queryNorm
              0.33050975 = fieldWeight in 734, product of:
                2.236068 = tf(freq=5.0), with freq of:
                  5.0 = termFreq=5.0
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.0625 = fieldNorm(doc=734)
          0.43302163 = weight(abstract_txt:lotka's in 734) [ClassicSimilarity], result of:
            0.43302163 = score(doc=734,freq=2.0), product of:
              0.5689708 = queryWeight, product of:
                4.098053 = boost
                8.610425 = idf(docFreq=21, maxDocs=44421)
                0.01612456 = queryNorm
              0.76106125 = fieldWeight in 734, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                8.610425 = idf(docFreq=21, maxDocs=44421)
                0.0625 = fieldNorm(doc=734)
        0.16 = coord(4/25)
    
  4. Ajiferuke, I.; Wolfram, D.: Analysis of Web page image tag distribution characteristics (2005) 0.11
    0.10791669 = sum of:
      0.10791669 = product of:
        0.53958344 = sum of:
          0.08808676 = weight(abstract_txt:distributions in 2059) [ClassicSimilarity], result of:
            0.08808676 = score(doc=2059,freq=3.0), product of:
              0.11920282 = queryWeight, product of:
                1.0829669 = boost
                6.82627 = idf(docFreq=130, maxDocs=44421)
                0.01612456 = queryNorm
              0.7389654 = fieldWeight in 2059, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                6.82627 = idf(docFreq=130, maxDocs=44421)
                0.0625 = fieldNorm(doc=2059)
          0.060564194 = weight(abstract_txt:simulation in 2059) [ClassicSimilarity], result of:
            0.060564194 = score(doc=2059,freq=1.0), product of:
              0.13392566 = queryWeight, product of:
                1.1478994 = boost
                7.2355595 = idf(docFreq=86, maxDocs=44421)
                0.01612456 = queryNorm
              0.45222247 = fieldWeight in 2059, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                7.2355595 = idf(docFreq=86, maxDocs=44421)
                0.0625 = fieldNorm(doc=2059)
          0.10936779 = weight(abstract_txt:poisson in 2059) [ClassicSimilarity], result of:
            0.10936779 = score(doc=2059,freq=1.0), product of:
              0.1986001 = queryWeight, product of:
                1.3978535 = boost
                8.811096 = idf(docFreq=17, maxDocs=44421)
                0.01612456 = queryNorm
              0.5506935 = fieldWeight in 2059, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.811096 = idf(docFreq=17, maxDocs=44421)
                0.0625 = fieldNorm(doc=2059)
          0.2244255 = weight(abstract_txt:fits in 2059) [ClassicSimilarity], result of:
            0.2244255 = score(doc=2059,freq=2.0), product of:
              0.32070175 = queryWeight, product of:
                2.5121038 = boost
                7.917278 = idf(docFreq=43, maxDocs=44421)
                0.01612456 = queryNorm
              0.69979507 = fieldWeight in 2059, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                7.917278 = idf(docFreq=43, maxDocs=44421)
                0.0625 = fieldNorm(doc=2059)
          0.057139203 = weight(abstract_txt:model in 2059) [ClassicSimilarity], result of:
            0.057139203 = score(doc=2059,freq=2.0), product of:
              0.16231275 = queryWeight, product of:
                2.5274248 = boost
                3.9827821 = idf(docFreq=2249, maxDocs=44421)
                0.01612456 = queryNorm
              0.35203153 = fieldWeight in 2059, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                3.9827821 = idf(docFreq=2249, maxDocs=44421)
                0.0625 = fieldNorm(doc=2059)
        0.2 = coord(5/25)
    
  5. Bensman, S.J.; Smolinsky, L.J.; Pudovkin, A.I.: Mean citation rate per article in mathematics journals : differences from the scientific model (2010) 0.11
    0.1062264 = sum of:
      0.1062264 = product of:
        0.44261 = sum of:
          0.06293222 = weight(abstract_txt:distributions in 582) [ClassicSimilarity], result of:
            0.06293222 = score(doc=582,freq=2.0), product of:
              0.11920282 = queryWeight, product of:
                1.0829669 = boost
                6.82627 = idf(docFreq=130, maxDocs=44421)
                0.01612456 = queryNorm
              0.5279424 = fieldWeight in 582, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                6.82627 = idf(docFreq=130, maxDocs=44421)
                0.0546875 = fieldNorm(doc=582)
          0.045109022 = weight(abstract_txt:error in 582) [ClassicSimilarity], result of:
            0.045109022 = score(doc=582,freq=1.0), product of:
              0.120288305 = queryWeight, product of:
                1.0878866 = boost
                6.8572807 = idf(docFreq=126, maxDocs=44421)
                0.01612456 = queryNorm
              0.37500754 = fieldWeight in 582, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                6.8572807 = idf(docFreq=126, maxDocs=44421)
                0.0546875 = fieldNorm(doc=582)
          0.095696814 = weight(abstract_txt:poisson in 582) [ClassicSimilarity], result of:
            0.095696814 = score(doc=582,freq=1.0), product of:
              0.1986001 = queryWeight, product of:
                1.3978535 = boost
                8.811096 = idf(docFreq=17, maxDocs=44421)
                0.01612456 = queryNorm
              0.48185682 = fieldWeight in 582, product of:
                1.0 = tf(freq=1.0), with freq of:
                  1.0 = termFreq=1.0
                8.811096 = idf(docFreq=17, maxDocs=44421)
                0.0546875 = fieldNorm(doc=582)
          0.15932058 = weight(abstract_txt:randomness in 582) [ClassicSimilarity], result of:
            0.15932058 = score(doc=582,freq=2.0), product of:
              0.22142114 = queryWeight, product of:
                1.4759834 = boost
                9.303573 = idf(docFreq=10, maxDocs=44421)
                0.01612456 = queryNorm
              0.7195364 = fieldWeight in 582, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                9.303573 = idf(docFreq=10, maxDocs=44421)
                0.0546875 = fieldNorm(doc=582)
          0.061233327 = weight(abstract_txt:model in 582) [ClassicSimilarity], result of:
            0.061233327 = score(doc=582,freq=3.0), product of:
              0.16231275 = queryWeight, product of:
                2.5274248 = boost
                3.9827821 = idf(docFreq=2249, maxDocs=44421)
                0.01612456 = queryNorm
              0.3772552 = fieldWeight in 582, product of:
                1.7320508 = tf(freq=3.0), with freq of:
                  3.0 = termFreq=3.0
                3.9827821 = idf(docFreq=2249, maxDocs=44421)
                0.0546875 = fieldNorm(doc=582)
          0.018318014 = weight(abstract_txt:that in 582) [ClassicSimilarity], result of:
            0.018318014 = score(doc=582,freq=2.0), product of:
              0.10015118 = queryWeight, product of:
                2.6263282 = boost
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.01612456 = queryNorm
              0.18290362 = fieldWeight in 582, product of:
                1.4142135 = tf(freq=2.0), with freq of:
                  2.0 = termFreq=2.0
                2.3649352 = idf(docFreq=11344, maxDocs=44421)
                0.0546875 = fieldNorm(doc=582)
        0.24 = coord(6/25)