Document (#39268)

Author

Malesios, C.

Title

Some variations on the standard theoretical models for the h-index : a comparative analysis

Source

Journal of the Association for Information Science and Technology. 66(2015) no.11, S.2384-2388

Year

2015

Series

Brief communications

Abstract

Various mathematical models have been proposed in the recent literature for estimating the h-index using measures such as number of articles (P) and citations received (C). These models have been previously empirically tested assuming a mathematical model and predetermining the models' parameter values at some fixed constant. The present study, from a statistical modeling viewpoint, investigates alternative distributions commonly used for this type of point data. The study shows that the typical assumptions for the parameters of the h-index mathematical models in such representations are not always realistic, with more suitable specifications being favorable. Prediction of the h-index is also demonstrated.

Content

Vgl.: http://onlinelibrary.wiley.com/doi/10.1002/asi.23410/abstract.

Theme

Informetrie

Object

h-index

Similar documents (content)

1. Cleverdon, C.W.; Mills, J.: ¬The testing of index language devices (1985) 0.15

   0.14844018 = sum of:
     0.14844018 = product of:
       0.46387556 = sum of:
         0.04442914 = weight(abstract_txt:assumptions in 3643) [ClassicSimilarity], result of:
           0.04442914 = score(doc=3643,freq=1.0), product of:
             0.14560588 = queryWeight, product of:
               1.0165405 = boost
               6.5095015 = idf(docFreq=178, maxDocs=44218)
               0.022004245 = queryNorm
             0.30513287 = fieldWeight in 3643, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.5095015 = idf(docFreq=178, maxDocs=44218)
               0.046875 = fieldNorm(doc=3643)
         0.04689958 = weight(abstract_txt:empirically in 3643) [ClassicSimilarity], result of:
           0.04689958 = score(doc=3643,freq=1.0), product of:
             0.15095457 = queryWeight, product of:
               1.035043 = boost
               6.627983 = idf(docFreq=158, maxDocs=44218)
               0.022004245 = queryNorm
             0.3106867 = fieldWeight in 3643, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.627983 = idf(docFreq=158, maxDocs=44218)
               0.046875 = fieldNorm(doc=3643)
         0.04873367 = weight(abstract_txt:variations in 3643) [ClassicSimilarity], result of:
           0.04873367 = score(doc=3643,freq=1.0), product of:
             0.1548649 = queryWeight, product of:
               1.0483632 = boost
               6.7132807 = idf(docFreq=145, maxDocs=44218)
               0.022004245 = queryNorm
             0.31468505 = fieldWeight in 3643, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.7132807 = idf(docFreq=145, maxDocs=44218)
               0.046875 = fieldNorm(doc=3643)
         0.012949788 = weight(abstract_txt:such in 3643) [ClassicSimilarity], result of:
           0.012949788 = score(doc=3643,freq=1.0), product of:
             0.08064648 = queryWeight, product of:
               1.0698994 = boost
               3.4255946 = idf(docFreq=3909, maxDocs=44218)
               0.022004245 = queryNorm
             0.16057475 = fieldWeight in 3643, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.4255946 = idf(docFreq=3909, maxDocs=44218)
               0.046875 = fieldNorm(doc=3643)
         0.05237778 = weight(abstract_txt:parameters in 3643) [ClassicSimilarity], result of:
           0.05237778 = score(doc=3643,freq=1.0), product of:
             0.16249189 = queryWeight, product of:
               1.0738685 = boost
               6.8766055 = idf(docFreq=123, maxDocs=44218)
               0.022004245 = queryNorm
             0.32234088 = fieldWeight in 3643, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.8766055 = idf(docFreq=123, maxDocs=44218)
               0.046875 = fieldNorm(doc=3643)
         0.015251368 = weight(abstract_txt:been in 3643) [ClassicSimilarity], result of:
           0.015251368 = score(doc=3643,freq=1.0), product of:
             0.089939296 = queryWeight, product of:
               1.129861 = boost
               3.617579 = idf(docFreq=3226, maxDocs=44218)
               0.022004245 = queryNorm
             0.16957402 = fieldWeight in 3643, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.617579 = idf(docFreq=3226, maxDocs=44218)
               0.046875 = fieldNorm(doc=3643)
         0.11951934 = weight(abstract_txt:index in 3643) [ClassicSimilarity], result of:
           0.11951934 = score(doc=3643,freq=3.0), product of:
             0.30998355 = queryWeight, product of:
               2.9664333 = boost
               4.74895 = idf(docFreq=1040, maxDocs=44218)
               0.022004245 = queryNorm
             0.3855667 = fieldWeight in 3643, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               4.74895 = idf(docFreq=1040, maxDocs=44218)
               0.046875 = fieldNorm(doc=3643)
         0.1237149 = weight(abstract_txt:mathematical in 3643) [ClassicSimilarity], result of:
           0.1237149 = score(doc=3643,freq=1.0), product of:
             0.41564453 = queryWeight, product of:
               2.9747941 = boost
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.022004245 = queryNorm
             0.29764593 = fieldWeight in 3643, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.046875 = fieldNorm(doc=3643)
       0.32 = coord(8/25)
   

2. Coelho, F.C.; Souza, R.R.; Codeço, C.T.: Towards an ontology for mathematical modeling with application to epidemiology (2012) 0.14

   0.14388695 = sum of:
     0.14388695 = product of:
       0.71943474 = sum of:
         0.021549191 = weight(abstract_txt:study in 838) [ClassicSimilarity], result of:
           0.021549191 = score(doc=838,freq=1.0), product of:
             0.080562286 = queryWeight, product of:
               1.0693408 = boost
               3.423806 = idf(docFreq=3916, maxDocs=44218)
               0.022004245 = queryNorm
             0.26748484 = fieldWeight in 838, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.423806 = idf(docFreq=3916, maxDocs=44218)
               0.078125 = fieldNorm(doc=838)
         0.02158298 = weight(abstract_txt:such in 838) [ClassicSimilarity], result of:
           0.02158298 = score(doc=838,freq=1.0), product of:
             0.08064648 = queryWeight, product of:
               1.0698994 = boost
               3.4255946 = idf(docFreq=3909, maxDocs=44218)
               0.022004245 = queryNorm
             0.2676246 = fieldWeight in 838, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.4255946 = idf(docFreq=3909, maxDocs=44218)
               0.078125 = fieldNorm(doc=838)
         0.025418945 = weight(abstract_txt:been in 838) [ClassicSimilarity], result of:
           0.025418945 = score(doc=838,freq=1.0), product of:
             0.089939296 = queryWeight, product of:
               1.129861 = boost
               3.617579 = idf(docFreq=3226, maxDocs=44218)
               0.022004245 = queryNorm
             0.28262335 = fieldWeight in 838, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.617579 = idf(docFreq=3226, maxDocs=44218)
               0.078125 = fieldNorm(doc=838)
         0.46105817 = weight(abstract_txt:mathematical in 838) [ClassicSimilarity], result of:
           0.46105817 = score(doc=838,freq=5.0), product of:
             0.41564453 = queryWeight, product of:
               2.9747941 = boost
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.022004245 = queryNorm
             1.1092608 = fieldWeight in 838, product of:
               2.236068 = tf(freq=5.0), with freq of:
                 5.0 = termFreq=5.0
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.078125 = fieldNorm(doc=838)
         0.18982546 = weight(abstract_txt:models in 838) [ClassicSimilarity], result of:
           0.18982546 = score(doc=838,freq=2.0), product of:
             0.37015542 = queryWeight, product of:
               3.6242013 = boost
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.022004245 = queryNorm
             0.5128264 = fieldWeight in 838, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.078125 = fieldNorm(doc=838)
       0.2 = coord(5/25)
   

3. Stathopoulos, Y.; Baker, S.; Rei, M.; Teufel, S.: Variable typing : assigning meaning to variables in mathematical text (2018) 0.13

   0.13057071 = sum of:
     0.13057071 = product of:
       0.8160669 = sum of:
         0.02158298 = weight(abstract_txt:such in 4432) [ClassicSimilarity], result of:
           0.02158298 = score(doc=4432,freq=1.0), product of:
             0.08064648 = queryWeight, product of:
               1.0698994 = boost
               3.4255946 = idf(docFreq=3909, maxDocs=44218)
               0.022004245 = queryNorm
             0.2676246 = fieldWeight in 4432, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.4255946 = idf(docFreq=3909, maxDocs=44218)
               0.078125 = fieldNorm(doc=4432)
         0.19919889 = weight(abstract_txt:index in 4432) [ClassicSimilarity], result of:
           0.19919889 = score(doc=4432,freq=3.0), product of:
             0.30998355 = queryWeight, product of:
               2.9664333 = boost
               4.74895 = idf(docFreq=1040, maxDocs=44218)
               0.022004245 = queryNorm
             0.64261115 = fieldWeight in 4432, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               4.74895 = idf(docFreq=1040, maxDocs=44218)
               0.078125 = fieldNorm(doc=4432)
         0.46105817 = weight(abstract_txt:mathematical in 4432) [ClassicSimilarity], result of:
           0.46105817 = score(doc=4432,freq=5.0), product of:
             0.41564453 = queryWeight, product of:
               2.9747941 = boost
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.022004245 = queryNorm
             1.1092608 = fieldWeight in 4432, product of:
               2.236068 = tf(freq=5.0), with freq of:
                 5.0 = termFreq=5.0
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.078125 = fieldNorm(doc=4432)
         0.13422687 = weight(abstract_txt:models in 4432) [ClassicSimilarity], result of:
           0.13422687 = score(doc=4432,freq=1.0), product of:
             0.37015542 = queryWeight, product of:
               3.6242013 = boost
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.022004245 = queryNorm
             0.362623 = fieldWeight in 4432, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.078125 = fieldNorm(doc=4432)
       0.16 = coord(4/25)
   

4. Oluic-Vukovic, V.: Bradford's distribution : from the classical bibliometric 'law' to the more general stochastic models (1997) 0.12

   0.12458739 = sum of:
     0.12458739 = product of:
       0.51911414 = sum of:
         0.08885828 = weight(abstract_txt:assumptions in 1021) [ClassicSimilarity], result of:
           0.08885828 = score(doc=1021,freq=1.0), product of:
             0.14560588 = queryWeight, product of:
               1.0165405 = boost
               6.5095015 = idf(docFreq=178, maxDocs=44218)
               0.022004245 = queryNorm
             0.61026573 = fieldWeight in 1021, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.5095015 = idf(docFreq=178, maxDocs=44218)
               0.09375 = fieldNorm(doc=1021)
         0.14462575 = weight(abstract_txt:distributions in 1021) [ClassicSimilarity], result of:
           0.14462575 = score(doc=1021,freq=2.0), product of:
             0.15990697 = queryWeight, product of:
               1.0652927 = boost
               6.82169 = idf(docFreq=130, maxDocs=44218)
               0.022004245 = queryNorm
             0.9044368 = fieldWeight in 1021, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               6.82169 = idf(docFreq=130, maxDocs=44218)
               0.09375 = fieldNorm(doc=1021)
         0.025899576 = weight(abstract_txt:such in 1021) [ClassicSimilarity], result of:
           0.025899576 = score(doc=1021,freq=1.0), product of:
             0.08064648 = queryWeight, product of:
               1.0698994 = boost
               3.4255946 = idf(docFreq=3909, maxDocs=44218)
               0.022004245 = queryNorm
             0.3211495 = fieldWeight in 1021, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.4255946 = idf(docFreq=3909, maxDocs=44218)
               0.09375 = fieldNorm(doc=1021)
         0.04313738 = weight(abstract_txt:been in 1021) [ClassicSimilarity], result of:
           0.04313738 = score(doc=1021,freq=2.0), product of:
             0.089939296 = queryWeight, product of:
               1.129861 = boost
               3.617579 = idf(docFreq=3226, maxDocs=44218)
               0.022004245 = queryNorm
             0.47962773 = fieldWeight in 1021, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               3.617579 = idf(docFreq=3226, maxDocs=44218)
               0.09375 = fieldNorm(doc=1021)
         0.055520914 = weight(abstract_txt:some in 1021) [ClassicSimilarity], result of:
           0.055520914 = score(doc=1021,freq=3.0), product of:
             0.09296532 = queryWeight, product of:
               1.1487108 = boost
               3.6779325 = idf(docFreq=3037, maxDocs=44218)
               0.022004245 = queryNorm
             0.5972218 = fieldWeight in 1021, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               3.6779325 = idf(docFreq=3037, maxDocs=44218)
               0.09375 = fieldNorm(doc=1021)
         0.16107224 = weight(abstract_txt:models in 1021) [ClassicSimilarity], result of:
           0.16107224 = score(doc=1021,freq=1.0), product of:
             0.37015542 = queryWeight, product of:
               3.6242013 = boost
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.022004245 = queryNorm
             0.43514758 = fieldWeight in 1021, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.6415744 = idf(docFreq=1158, maxDocs=44218)
               0.09375 = fieldNorm(doc=1021)
       0.24 = coord(6/25)
   

5. Huber, J.C.: ¬A new method for analyzing scientific productivity (2001) 0.12

   0.12242736 = sum of:
     0.12242736 = product of:
       0.43724057 = sum of:
         0.024483655 = weight(abstract_txt:have in 6845) [ClassicSimilarity], result of:
           0.024483655 = score(doc=6845,freq=3.0), product of:
             0.070576735 = queryWeight, product of:
               1.0008777 = boost
               3.2046018 = idf(docFreq=4876, maxDocs=44218)
               0.022004245 = queryNorm
             0.3469083 = fieldWeight in 6845, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               3.2046018 = idf(docFreq=4876, maxDocs=44218)
               0.0625 = fieldNorm(doc=6845)
         0.017266383 = weight(abstract_txt:such in 6845) [ClassicSimilarity], result of:
           0.017266383 = score(doc=6845,freq=1.0), product of:
             0.08064648 = queryWeight, product of:
               1.0698994 = boost
               3.4255946 = idf(docFreq=3909, maxDocs=44218)
               0.022004245 = queryNorm
             0.21409966 = fieldWeight in 6845, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.4255946 = idf(docFreq=3909, maxDocs=44218)
               0.0625 = fieldNorm(doc=6845)
         0.07413123 = weight(abstract_txt:constant in 6845) [ClassicSimilarity], result of:
           0.07413123 = score(doc=6845,freq=1.0), product of:
             0.16908637 = queryWeight, product of:
               1.0954424 = boost
               7.014756 = idf(docFreq=107, maxDocs=44218)
               0.022004245 = queryNorm
             0.43842226 = fieldWeight in 6845, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               7.014756 = idf(docFreq=107, maxDocs=44218)
               0.0625 = fieldNorm(doc=6845)
         0.020335156 = weight(abstract_txt:been in 6845) [ClassicSimilarity], result of:
           0.020335156 = score(doc=6845,freq=1.0), product of:
             0.089939296 = queryWeight, product of:
               1.129861 = boost
               3.617579 = idf(docFreq=3226, maxDocs=44218)
               0.022004245 = queryNorm
             0.22609869 = fieldWeight in 6845, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.617579 = idf(docFreq=3226, maxDocs=44218)
               0.0625 = fieldNorm(doc=6845)
         0.02137001 = weight(abstract_txt:some in 6845) [ClassicSimilarity], result of:
           0.02137001 = score(doc=6845,freq=1.0), product of:
             0.09296532 = queryWeight, product of:
               1.1487108 = boost
               3.6779325 = idf(docFreq=3037, maxDocs=44218)
               0.022004245 = queryNorm
             0.22987078 = fieldWeight in 6845, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.6779325 = idf(docFreq=3037, maxDocs=44218)
               0.0625 = fieldNorm(doc=6845)
         0.11470094 = weight(abstract_txt:estimating in 6845) [ClassicSimilarity], result of:
           0.11470094 = score(doc=6845,freq=1.0), product of:
             0.22619645 = queryWeight, product of:
               1.2670045 = boost
               8.113368 = idf(docFreq=35, maxDocs=44218)
               0.022004245 = queryNorm
             0.5070855 = fieldWeight in 6845, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               8.113368 = idf(docFreq=35, maxDocs=44218)
               0.0625 = fieldNorm(doc=6845)
         0.1649532 = weight(abstract_txt:mathematical in 6845) [ClassicSimilarity], result of:
           0.1649532 = score(doc=6845,freq=1.0), product of:
             0.41564453 = queryWeight, product of:
               2.9747941 = boost
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.022004245 = queryNorm
             0.39686123 = fieldWeight in 6845, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.3497796 = idf(docFreq=209, maxDocs=44218)
               0.0625 = fieldNorm(doc=6845)
       0.28 = coord(7/25)