Library and Information Science

Library and Information Science ISSN: 2435-8495
三田図書館・情報学会 Mita Society for Library and Information Science
〒108‒8345 東京都港区三田2‒15‒45 慶應義塾大学文学部図書館・情報学専攻内 c/o Keio University, 2-15-45 Mita, Minato-ku, Tokyo 108-8345, Japan
Library and Information Science 24: 11-29 (1986)

原著論文Original Article

Bradfordの法則の数式表現その歴史的展開Mathematical formulations of Bradford's law: A discussion of its historical development

東京大学大学院教育学研究科修士課程Graduate School of Education, University of Tokyo ◇ 〒113-0033 東京都文京区本郷七丁目3番1号 ◇ Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan

発行日:1987年3月25日Published: March 25, 1987

In this paper, the author reviews the diverse studies on mathematical formulations of Bradford’s law, which is a representative distribution law in bibliometrics.

Since S. C. Bradford presented the law in 1934, there have been three trends of the study. In the first trend, researchers tried to formulate a law following the proportional expression originally shown by Bradford. The studies of Vickery, Leimkuhler, Wilkinson, and others are classified in this trend. In the second trend, researchers tried to lead a formula according to the shape of graphs describing observed values. The studies of Brookes, Haspers, Asai, and others are classified in this trend. And in the third trend, researchers have attempted to produce a formula from various probabilistic models. The author shows Simon’s model, Onodera’s model, and Naranan’s model as sophisticated mathematical models.

These formulations are so diverse that there is still no formula which can be recognized as a universal one. The author concludes that to test the fitness of each formula with observed data stastistically and to establish the most desirable formulation of Bradford’s law are urgent tasks in bibliometric studies.

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