1978
DOI: 10.1002/asi.4630290311
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A relationship between two forms of Bradford's law

Abstract: If g ( x )is the number of journals having x references, we speak of a size-frequency relationship. If f ( r ) is the number of references in a journal of rank r, we speak of a rankfrequency relationship. In the former we can estimate the number of journals, given the number of references; in the latter we can estimate the number of references given the rank of the journal. In this paper we prove a statistical relationship which links these two types of productivity distributions.

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Cited by 17 publications
(6 citation statements)
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References 7 publications
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“…The rank-frequency model has been extensively studied by Hubert (1974Hubert ( , 1978Hubert ( , 1981, who has also derived an analytical relationship between the two approaches. Lotka employed the size-frequency approach and our model has been specified in these terms.…”
Section: Organization Of Datamentioning
confidence: 99%
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“…The rank-frequency model has been extensively studied by Hubert (1974Hubert ( , 1978Hubert ( , 1981, who has also derived an analytical relationship between the two approaches. Lotka employed the size-frequency approach and our model has been specified in these terms.…”
Section: Organization Of Datamentioning
confidence: 99%
“…However, in the absence of random sampling, the application of inferential goodness-of-fit tests is quite invalid. This question has never been adequately addressed in the literature; recently it has begun to receive some attention (Hubert, 1978;Nelson & Tague, 1985). The whole matter of samples, populations, and inferential procedures represents a serious methodological problem.…”
Section: Estimation and Testingmentioning
confidence: 99%
“…, and admit zero frequencies of journals.) This distribution, generally known now as the Lotka distribution, has been discussed by, e.g., Kendall, Hubert, Brookes and Egghe [23,14,7,9]. This approach can be compared with Bradford's original classification of journals into 'zones', as further developed by, e.g., Goffman, Naranan, Morse and Leimkuhler [12,[29][30][31], although Bradford created his 'zones' from high to low production journals rather than, as this approach suggests, from low to high producers.…”
Section: The Lotka Distribution Of Journals Over Production Valuesmentioning
confidence: 93%
“…What might be termed 'the Bradford literature', dating from S.C. Bradford's original study of 1934, is now extensive in scope and size and is illustrated by references [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Many of these papers provide reviewing content going well beyond the scope of the topic as originally conceived by Bradford, for example the papers by Bookstein, Brookes, and Egghe in regard to bibliometric and scientometric laws.…”
Section: Background Literaturementioning
confidence: 99%
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