Document (#34639)

Author

Rousseau, R.
Jin, B.

Title

¬The age-dependent h-type AR**2-index : basic properties and a case study

Source

Journal of the American Society for Information Science and Technology. 59(2008) no.14, S.2305-2311

Year

2008

Abstract

Hirsch-type indices are studied with special attention to the AR**2-index introduced by Jin. The article consists of two parts: a theoretical part and a practical illustration. In the theoretical part, we recall the definition of the AR**2-index and show that an alternative definition, the so-called AR**2,1, does not have the properties expected for this type of index. A practical example shows the existence of some of these mathematical properties and illustrates the difference between different h-type indices. Clearly the h-index itself is the most robust of all. It is shown that excluding so-called non-WoS source articles may have a significant influence on the R-and, especially, the g-index.

Theme

Informetrie

Object

h-index

Similar documents (author)

1. Rousseau, S.; Rousseau, R.: Metric-wiseness (2015) 5.37

   5.36736 = sum of:
     5.36736 = weight(author_txt:rousseau in 69) [ClassicSimilarity], result of:
       5.36736 = fieldWeight in 69, product of:
         1.4142135 = tf(freq=2.0), with freq of:
           2.0 = termFreq=2.0
         7.590594 = idf(docFreq=60, maxDocs=44421)
         0.5 = fieldNorm(doc=69)
   

2. Rousseau, S.; Rousseau, R.: Interactions between journal attributes and authors' willingness to wait for editorial decisions (2012) 5.37

   5.36736 = sum of:
     5.36736 = weight(author_txt:rousseau in 1250) [ClassicSimilarity], result of:
       5.36736 = fieldWeight in 1250, product of:
         1.4142135 = tf(freq=2.0), with freq of:
           2.0 = termFreq=2.0
         7.590594 = idf(docFreq=60, maxDocs=44421)
         0.5 = fieldNorm(doc=1250)
   

3. Rousseau, R.: Use of an existing thesaurus in a knowledge based indexing and retrieval system (1991) 4.74

   4.744121 = sum of:
     4.744121 = weight(author_txt:rousseau in 3006) [ClassicSimilarity], result of:
       4.744121 = fieldWeight in 3006, product of:
         1.0 = tf(freq=1.0), with freq of:
           1.0 = termFreq=1.0
         7.590594 = idf(docFreq=60, maxDocs=44421)
         0.625 = fieldNorm(doc=3006)
   

4. Rousseau, R.: ¬A table for estimating the exponent in Lotka's law (1993) 4.74

   4.744121 = sum of:
     4.744121 = weight(author_txt:rousseau in 5652) [ClassicSimilarity], result of:
       4.744121 = fieldWeight in 5652, product of:
         1.0 = tf(freq=1.0), with freq of:
           1.0 = termFreq=1.0
         7.590594 = idf(docFreq=60, maxDocs=44421)
         0.625 = fieldNorm(doc=5652)
   

5. Rousseau, R.: Bradford curves (1994) 4.74

   4.744121 = sum of:
     4.744121 = weight(author_txt:rousseau in 7303) [ClassicSimilarity], result of:
       4.744121 = fieldWeight in 7303, product of:
         1.0 = tf(freq=1.0), with freq of:
           1.0 = termFreq=1.0
         7.590594 = idf(docFreq=60, maxDocs=44421)
         0.625 = fieldNorm(doc=7303)
   

Similar documents (content)

1. Vanclay, J.K.: On the robustness of the h-index (2007) 0.25

   0.25178322 = sum of:
     0.25178322 = product of:
       1.258916 = sum of:
         0.105797604 = weight(abstract_txt:robust in 1576) [ClassicSimilarity], result of:
           0.105797604 = score(doc=1576,freq=1.0), product of:
             0.14428036 = queryWeight, product of:
               1.1694638 = boost
               6.704255 = idf(docFreq=147, maxDocs=44421)
               0.018402208 = queryNorm
             0.7332779 = fieldWeight in 1576, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.704255 = idf(docFreq=147, maxDocs=44421)
               0.109375 = fieldNorm(doc=1576)
         0.3120825 = weight(abstract_txt:hirsch in 1576) [ClassicSimilarity], result of:
           0.3120825 = score(doc=1576,freq=2.0), product of:
             0.23553726 = queryWeight, product of:
               1.4942145 = boost
               8.565973 = idf(docFreq=22, maxDocs=44421)
               0.018402208 = queryNorm
             1.3249815 = fieldWeight in 1576, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               8.565973 = idf(docFreq=22, maxDocs=44421)
               0.109375 = fieldNorm(doc=1576)
         0.2753518 = weight(abstract_txt:indices in 1576) [ClassicSimilarity], result of:
           0.2753518 = score(doc=1576,freq=1.0), product of:
             0.34394735 = queryWeight, product of:
               2.5535486 = boost
               7.319441 = idf(docFreq=79, maxDocs=44421)
               0.018402208 = queryNorm
             0.8005638 = fieldWeight in 1576, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               7.319441 = idf(docFreq=79, maxDocs=44421)
               0.109375 = fieldNorm(doc=1576)
         0.1747232 = weight(abstract_txt:type in 1576) [ClassicSimilarity], result of:
           0.1747232 = score(doc=1576,freq=1.0), product of:
             0.3199954 = queryWeight, product of:
               3.483253 = boost
               4.992163 = idf(docFreq=819, maxDocs=44421)
               0.018402208 = queryNorm
             0.5460178 = fieldWeight in 1576, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.992163 = idf(docFreq=819, maxDocs=44421)
               0.109375 = fieldNorm(doc=1576)
         0.3909609 = weight(abstract_txt:index in 1576) [ClassicSimilarity], result of:
           0.3909609 = score(doc=1576,freq=3.0), product of:
             0.43449914 = queryWeight, product of:
               4.971109 = boost
               4.7496953 = idf(docFreq=1044, maxDocs=44421)
               0.018402208 = queryNorm
             0.8997967 = fieldWeight in 1576, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               4.7496953 = idf(docFreq=1044, maxDocs=44421)
               0.109375 = fieldNorm(doc=1576)
       0.2 = coord(5/25)
   

2. Kim, P.J.; Lee, J.Y.; Park, J.-H.: Developing a new collection-evaluation method : mapping and the user-side h-index (2009) 0.20

   0.20475937 = sum of:
     0.20475937 = product of:
       0.8531641 = sum of:
         0.045196302 = weight(abstract_txt:difference in 158) [ClassicSimilarity], result of:
           0.045196302 = score(doc=158,freq=1.0), product of:
             0.118845835 = queryWeight, product of:
               1.0613904 = boost
               6.0846963 = idf(docFreq=274, maxDocs=44421)
               0.018402208 = queryNorm
             0.38029352 = fieldWeight in 158, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.0846963 = idf(docFreq=274, maxDocs=44421)
               0.0625 = fieldNorm(doc=158)
         0.018583687 = weight(abstract_txt:have in 158) [ClassicSimilarity], result of:
           0.018583687 = score(doc=158,freq=2.0), product of:
             0.06571583 = queryWeight, product of:
               1.1161772 = boost
               3.199388 = idf(docFreq=4924, maxDocs=44421)
               0.018402208 = queryNorm
             0.2827886 = fieldWeight in 158, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               3.199388 = idf(docFreq=4924, maxDocs=44421)
               0.0625 = fieldNorm(doc=158)
         0.05381489 = weight(abstract_txt:clearly in 158) [ClassicSimilarity], result of:
           0.05381489 = score(doc=158,freq=1.0), product of:
             0.13351099 = queryWeight, product of:
               1.1249719 = boost
               6.449194 = idf(docFreq=190, maxDocs=44421)
               0.018402208 = queryNorm
             0.40307462 = fieldWeight in 158, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.449194 = idf(docFreq=190, maxDocs=44421)
               0.0625 = fieldNorm(doc=158)
         0.12610036 = weight(abstract_txt:hirsch in 158) [ClassicSimilarity], result of:
           0.12610036 = score(doc=158,freq=1.0), product of:
             0.23553726 = queryWeight, product of:
               1.4942145 = boost
               8.565973 = idf(docFreq=22, maxDocs=44421)
               0.018402208 = queryNorm
             0.53537333 = fieldWeight in 158, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               8.565973 = idf(docFreq=22, maxDocs=44421)
               0.0625 = fieldNorm(doc=158)
         0.22251786 = weight(abstract_txt:indices in 158) [ClassicSimilarity], result of:
           0.22251786 = score(doc=158,freq=2.0), product of:
             0.34394735 = queryWeight, product of:
               2.5535486 = boost
               7.319441 = idf(docFreq=79, maxDocs=44421)
               0.018402208 = queryNorm
             0.6469533 = fieldWeight in 158, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               7.319441 = idf(docFreq=79, maxDocs=44421)
               0.0625 = fieldNorm(doc=158)
         0.386951 = weight(abstract_txt:index in 158) [ClassicSimilarity], result of:
           0.386951 = score(doc=158,freq=9.0), product of:
             0.43449914 = queryWeight, product of:
               4.971109 = boost
               4.7496953 = idf(docFreq=1044, maxDocs=44421)
               0.018402208 = queryNorm
             0.8905679 = fieldWeight in 158, product of:
               3.0 = tf(freq=9.0), with freq of:
                 9.0 = termFreq=9.0
               4.7496953 = idf(docFreq=1044, maxDocs=44421)
               0.0625 = fieldNorm(doc=158)
       0.24 = coord(6/25)
   

3. Zhao, S.X.; Tan, A.M.; Ye, F.Y.: Distributive h-indices for measuring multilevel impact (2012) 0.19

   0.19473907 = sum of:
     0.19473907 = product of:
       0.97369534 = sum of:
         0.05669813 = weight(abstract_txt:studied in 1460) [ClassicSimilarity], result of:
           0.05669813 = score(doc=1460,freq=1.0), product of:
             0.10549544 = queryWeight, product of:
               5.73276 = idf(docFreq=390, maxDocs=44421)
               0.018402208 = queryNorm
             0.53744626 = fieldWeight in 1460, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.73276 = idf(docFreq=390, maxDocs=44421)
               0.09375 = fieldNorm(doc=1460)
         0.06809783 = weight(abstract_txt:theoretical in 1460) [ClassicSimilarity], result of:
           0.06809783 = score(doc=1460,freq=1.0), product of:
             0.15018275 = queryWeight, product of:
               1.6873617 = boost
               4.83662 = idf(docFreq=957, maxDocs=44421)
               0.018402208 = queryNorm
             0.4534331 = fieldWeight in 1460, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.83662 = idf(docFreq=957, maxDocs=44421)
               0.09375 = fieldNorm(doc=1460)
         0.47203168 = weight(abstract_txt:indices in 1460) [ClassicSimilarity], result of:
           0.47203168 = score(doc=1460,freq=4.0), product of:
             0.34394735 = queryWeight, product of:
               2.5535486 = boost
               7.319441 = idf(docFreq=79, maxDocs=44421)
               0.018402208 = queryNorm
             1.3723952 = fieldWeight in 1460, product of:
               2.0 = tf(freq=4.0), with freq of:
                 4.0 = termFreq=4.0
               7.319441 = idf(docFreq=79, maxDocs=44421)
               0.09375 = fieldNorm(doc=1460)
         0.18339223 = weight(abstract_txt:properties in 1460) [ClassicSimilarity], result of:
           0.18339223 = score(doc=1460,freq=1.0), product of:
             0.33277363 = queryWeight, product of:
               3.076226 = boost
               5.878422 = idf(docFreq=337, maxDocs=44421)
               0.018402208 = queryNorm
             0.55110204 = fieldWeight in 1460, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.878422 = idf(docFreq=337, maxDocs=44421)
               0.09375 = fieldNorm(doc=1460)
         0.1934755 = weight(abstract_txt:index in 1460) [ClassicSimilarity], result of:
           0.1934755 = score(doc=1460,freq=1.0), product of:
             0.43449914 = queryWeight, product of:
               4.971109 = boost
               4.7496953 = idf(docFreq=1044, maxDocs=44421)
               0.018402208 = queryNorm
             0.44528395 = fieldWeight in 1460, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.7496953 = idf(docFreq=1044, maxDocs=44421)
               0.09375 = fieldNorm(doc=1460)
       0.2 = coord(5/25)
   

4. Zhang, C.-T.: Relationship of the h-index, g-index, and e-index (2010) 0.17

   0.17090143 = sum of:
     0.17090143 = product of:
       1.068134 = sum of:
         0.08386281 = weight(abstract_txt:definition in 405) [ClassicSimilarity], result of:
           0.08386281 = score(doc=405,freq=1.0), product of:
             0.19484906 = queryWeight, product of:
               1.9219731 = boost
               5.509105 = idf(docFreq=488, maxDocs=44421)
               0.018402208 = queryNorm
             0.43039885 = fieldWeight in 405, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.509105 = idf(docFreq=488, maxDocs=44421)
               0.078125 = fieldNorm(doc=405)
         0.27814734 = weight(abstract_txt:indices in 405) [ClassicSimilarity], result of:
           0.27814734 = score(doc=405,freq=2.0), product of:
             0.34394735 = queryWeight, product of:
               2.5535486 = boost
               7.319441 = idf(docFreq=79, maxDocs=44421)
               0.018402208 = queryNorm
             0.8086916 = fieldWeight in 405, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               7.319441 = idf(docFreq=79, maxDocs=44421)
               0.078125 = fieldNorm(doc=405)
         0.124802284 = weight(abstract_txt:type in 405) [ClassicSimilarity], result of:
           0.124802284 = score(doc=405,freq=1.0), product of:
             0.3199954 = queryWeight, product of:
               3.483253 = boost
               4.992163 = idf(docFreq=819, maxDocs=44421)
               0.018402208 = queryNorm
             0.39001274 = fieldWeight in 405, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.992163 = idf(docFreq=819, maxDocs=44421)
               0.078125 = fieldNorm(doc=405)
         0.5813215 = weight(abstract_txt:index in 405) [ClassicSimilarity], result of:
           0.5813215 = score(doc=405,freq=13.0), product of:
             0.43449914 = queryWeight, product of:
               4.971109 = boost
               4.7496953 = idf(docFreq=1044, maxDocs=44421)
               0.018402208 = queryNorm
             1.3379116 = fieldWeight in 405, product of:
               3.6055512 = tf(freq=13.0), with freq of:
                 13.0 = termFreq=13.0
               4.7496953 = idf(docFreq=1044, maxDocs=44421)
               0.078125 = fieldNorm(doc=405)
       0.16 = coord(4/25)
   

5. Egghe, L.: Mathematical study of h-index sequences (2009) 0.16

   0.15939748 = sum of:
     0.15939748 = product of:
       0.6641562 = sum of:
         0.03779875 = weight(abstract_txt:studied in 217) [ClassicSimilarity], result of:
           0.03779875 = score(doc=217,freq=1.0), product of:
             0.10549544 = queryWeight, product of:
               5.73276 = idf(docFreq=390, maxDocs=44421)
               0.018402208 = queryNorm
             0.3582975 = fieldWeight in 217, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.73276 = idf(docFreq=390, maxDocs=44421)
               0.0625 = fieldNorm(doc=217)
         0.05136026 = weight(abstract_txt:mathematical in 217) [ClassicSimilarity], result of:
           0.05136026 = score(doc=217,freq=1.0), product of:
             0.12941964 = queryWeight, product of:
               1.1076008 = boost
               6.3496094 = idf(docFreq=210, maxDocs=44421)
               0.018402208 = queryNorm
             0.3968506 = fieldWeight in 217, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.3496094 = idf(docFreq=210, maxDocs=44421)
               0.0625 = fieldNorm(doc=217)
         0.044284157 = weight(abstract_txt:practical in 217) [ClassicSimilarity], result of:
           0.044284157 = score(doc=217,freq=1.0), product of:
             0.1477149 = queryWeight, product of:
               1.6734406 = boost
               4.7967167 = idf(docFreq=996, maxDocs=44421)
               0.018402208 = queryNorm
             0.2997948 = fieldWeight in 217, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.7967167 = idf(docFreq=996, maxDocs=44421)
               0.0625 = fieldNorm(doc=217)
         0.17290385 = weight(abstract_txt:properties in 217) [ClassicSimilarity], result of:
           0.17290385 = score(doc=217,freq=2.0), product of:
             0.33277363 = queryWeight, product of:
               3.076226 = boost
               5.878422 = idf(docFreq=337, maxDocs=44421)
               0.018402208 = queryNorm
             0.519584 = fieldWeight in 217, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               5.878422 = idf(docFreq=337, maxDocs=44421)
               0.0625 = fieldNorm(doc=217)
         0.09984183 = weight(abstract_txt:type in 217) [ClassicSimilarity], result of:
           0.09984183 = score(doc=217,freq=1.0), product of:
             0.3199954 = queryWeight, product of:
               3.483253 = boost
               4.992163 = idf(docFreq=819, maxDocs=44421)
               0.018402208 = queryNorm
             0.3120102 = fieldWeight in 217, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.992163 = idf(docFreq=819, maxDocs=44421)
               0.0625 = fieldNorm(doc=217)
         0.25796732 = weight(abstract_txt:index in 217) [ClassicSimilarity], result of:
           0.25796732 = score(doc=217,freq=4.0), product of:
             0.43449914 = queryWeight, product of:
               4.971109 = boost
               4.7496953 = idf(docFreq=1044, maxDocs=44421)
               0.018402208 = queryNorm
             0.5937119 = fieldWeight in 217, product of:
               2.0 = tf(freq=4.0), with freq of:
                 4.0 = termFreq=4.0
               4.7496953 = idf(docFreq=1044, maxDocs=44421)
               0.0625 = fieldNorm(doc=217)
       0.24 = coord(6/25)