Power Laws in the Information Production Process: Lotkaian Informetrics (Library and Information Science, 5),Used

Power Laws in the Information Production Process: Lotkaian Informetrics (Library and Information Science, 5),Used

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This book describes informetric results from the point of view of Lotkaian sizefrequency 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: threedimensional informetrics (positive reinforcement and Type/TokenTaken informetrics), concentration theory (including the description of Lorenz curves and concentration measures in Lotkaian informetrics), fractal complexity theory (Lotkaian informetrics as selfsimilar fractals), Lotkaian informetrics in which items can have multiple sources (where fractional sizefrequency functions are constructed), the theory of firstcitation distributions and the Nfold Cartesian product of IPPs (describing frequency functions for Ngrams and Nword 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 sizefrequency 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).

⚠️ WARNING (California Proposition 65):

This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.

For more information, please visit www.P65Warnings.ca.gov.

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