کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
515681 867069 2011 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Relations between the shape of a size-frequency distribution and the shape of a rank-frequency distribution
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Relations between the shape of a size-frequency distribution and the shape of a rank-frequency distribution
چکیده انگلیسی

We study the dependence of the shape of the rank-frequency distribution g on the shape of the size-frequency distribution f and vice versa. We show mathematically that g is convexly decreasing if and only if f is monotonically decreasing and that g has an S-shape (i.e., g is first convexly decreasing and then concavely decreasing) if and only if f is first increasing and then decreasing.To illustrate our mathematical results, we empirically analyze size- and rank-frequency distributions of the number of articles and of the impact factor of journals in various scientific fields. We find that most of the size-frequency distributions that we examine are first increasing and then decreasing. Most of the rank-frequency distributions that we examine have an S-shape. However, the concave part of the S-shape is sometimes very small.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Processing & Management - Volume 47, Issue 2, March 2011, Pages 238–245
نویسندگان
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