Power Laws in the Information Production Process: Lotkaian Informetrics (Hardcover)

Description:

This book describes informetric results from the point of view of Lotkaian size-frequency functions, i.e. functions that are decreasing power laws. Explanations and examples of this model are given showing that it is the most important regularity amongst other possible models. This theory is then developed in the framework of IPPs (Information Production Processes) hereby also indicating its relation with e.g. the law of Zipf.

Applications are given in the following fields: three-dimensional informetrics (positive reinforcement and Type/Token-Taken informetrics), concentration theory (including the description of Lorenz curves and concentration measures in Lotkaian informetrics), fractal complexity theory (Lotkaian informetrics as self-similar fractals), Lotkaian informetrics in which items can have multiple sources (where fractional size-frequency functions are constructed), the theory of first-citation distributions and the N-fold Cartesian product of IPPs (describing frequency functions for N-grams and N-word phrases). In the Appendix, methods are given to determine the parameters in the law of Lotka, based on a set of discrete data.

The book explains numerous informetric regularities, only based on a decreasing power law as size-frequency function, i.e. Lotka's law. It revives the historical formulation of Alfred Lotka of 1926 and shows the power of this power law, both in classical aspects of informetrics (libraries, bibliographies) as well as in "new" applications such as social networks (citation or collaboration networks and the Internet).

 

Table of Contents:

Introduction. Chapter I. Lotkaian Informetrics: An Introduction. Informetrics. What is Lotkaian informetrics? Why Lotkaian informetrics? Practical Examples of Lotkaian Informetrics. Chapetr II. Basic Theory of Lotkaian Informetrics. General Informetrics Theory. Theory of Lotkaian Informetrics. Extension of the General Informetrics Theory: The Dual Size-Frequency Function H. The Place of the Law of Zipf in Lotkaian Informetrics. Chapter III. Three-dimensional Lotkaian Informetrics. Linear Three-Dimensional Lotkaian Informetrics. Chapter IV. Lotkaian Concentration Theory. Introduction. Discrete Concentration Theory. Continuous Concentration Theory. Concentration Theory of Linear Three-Dimensional Informetrics. Chapter V. Lotkaian Fractal Complexity Theory. Introduction. Elements of Fractal Theory. Interpretation of Lotkaian IPPs as Self-Similar Fractals. Chapter VI. Lotkaian Informetrics of Systems in which Items can have Multiple Sources. Introduction. Crediting Systems and Counting Procedures for Sources and "Super Sources" in IPPs Where Items Can Have Multiple Sources. Construction of Fractional Size-Frequency Functions Based on Two Dual Lotka laws. Chapter VII. Further Applications in Lotkaian Informetrics. Introduction. Explaining "Regularities". Probabilistic Explanation of the Relationship Between Citation Age and Journal Productivity. Chapter VII. General and Lotkaian Theory of the Distribution of Author Ranks in Multi-Authored Papers. The First-Citation Distribution in Lotkaian Informetrics. Zipfian Theory of N-grams and of N-word Phrases: the Cartesian Product of IPPs. Appendix. Appendix I. Appendix II. Appendix III Statistical Determination of the Parameters in the Law of Lotka. Bibliography. Subject Index.

描述：本書從Lotkaian大小頻率函數的角度描述了信息計量學的結果，即遞減冪律函數。本書提供了該模型的解釋和示例，顯示它是其他可能模型中最重要的規律。然後，在IPP（信息生成過程）的框架下發展了這一理論，同時也指出了它與Zipf定律等的關係。

本書在以下領域提供了應用：三維信息計量學（正向強化和類型/令牌-採取信息計量學），濃度理論（包括Lorenz曲線和Lotkaian信息計量學中的濃度度量描述），分形復雜性理論（Lotkaian信息計量學作為自相似分形），Lotkaian信息計量學中項目可以有多個來源（構建分數大小頻率函數），首次引用分布理論和IPP的N倍笛卡爾乘積（描述N-gram和N個詞組的頻率函數）。附錄中提供了一些方法來確定Lotka定律中的參數，基於一組離散數據。

本書基於遞減冪律作為大小頻率函數，即Lotka定律，解釋了許多信息計量學的規律，包括傳統的信息計量學（圖書館、文獻目錄）以及“新”的應用，如社交網絡（引用或合作網絡和互聯網）。

目錄：
引言。第一章：Lotkaian信息計量學：介紹。信息計量學。什麼是Lotkaian信息計量學？為什麼選擇Lotkaian信息計量學？Lotkaian信息計量學的實際例子。第二章：Lotkaian信息計量學的基本理論。一般信息計量學理論。Lotkaian信息計量學理論。一般信息計量學理論的擴展：雙大小頻率函數H。Lotkaian信息計量學中Zipf定律的位置。第三章：三維Lotkaian信息計量學。線性三維Lotkaian信息計量學。第四章：Lotkaian濃度理論。介紹。離散濃度理論。連續濃度理論。線性三維信息計量學的濃度理論。第五章：Lotkaian分形復雜性理論。介紹。分形理論的要素。將Lotkaian IPP解釋為自相似分形。第六章：具有多個來源的系統的Lotkaian信息計量學。介紹。在項目可以有多個來源的IPPs中的計分系統和計數程序。基於兩個雙Lotka定律構建的分數大小頻率函數。第七章：Lotkaian信息計量學的進一步應用。介紹。解釋“規律”。引文年齡與期刊生產力之間關係的概率解釋。第七章。多作者論文中作者排名分布的一般和Lotkaian理論。Lotkaian信息計量學中的首次引用分布。N-gram和N個詞組的Zipf理論：IPP的笛卡爾乘積。附錄