Power Laws in the Information Production Process: Lotkaian Informetrics

Abstract

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 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.