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 26: 55-65 (1988)

原著論文Original Article

ビブリオメトリクスの法則間の類似関係から導かれるBradfordの数式表現Mathematical formulations of Bradford's law derived from relationships among bibliometric laws

慶應義塾大学大学院文学研究科図書館・情報学専攻修士課程Graduate School of Library and Information Science, Keio University ◇ 〒108-8345 東京都港区三田二丁目15番45号 ◇ Mita 2-15-45, Minato-ku, Tokyo 108-8345, Japan

受付日:1989年3月28日Received: March 28, 1989
発行日:1989年3月25日Published: March 25, 1989

This paper describes the result of following two kinds of studies. 1) to derive a similarity among some bibliometric laws, 2) to mathematically represent Bradford’s law based on the similarity and to show the adequacy of the representation.

In terms of the first study, it was shown that a similarity which unified these laws was identified, and that Mandelbrot’s law was a general form of Zipf’s law.

On the other hand, the mathematical representation of Bradford’s law traditionally used was not strictly coincided with an integral approximation to the summation of Zipf’s or Mandelbrot’s laws.

Therefore, the author derived a new mathematical representation of Bradford’s law and examined successfully its validity by the data used for having shown traditional representions.

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