A general theory of bibliometric and other cumulative advantage processes
Explore this paper's citation graph
Summary
It is shown that such a stochastic law is governed by the Beta Function, containing only one free parameter, and this is approximated by a skew or hyperbolic distribution of the type that is widespread in bibliometrics and diverse social science phenomena.
- Type
- article
- Published
- 1976-09-01
- Cited by
- 2,054
- References
- 36
- Access
- Open access
- OpenAlex
- https://openalex.org/W2080450835
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:8536863
Keywords
Mathematics, Zipf's law, Cumulative distribution function, Negative binomial distribution, Empirical distribution function
References
- Little Science, Big Science
- Studies in scientometrics II. The relation between source author and cited author populations
- Analysis of scientific productivity.
- ESTIMATES OF THE NUMBER OF CURRENTLY AVAILABLE SCIENTIFIC AND TECHNICAL PERIODICALS
- THE LAW OF CONSTANT CITATION FOR SCIENTIFIC LITERATURE
- Stronger Forms of Zipf's Law
- Bradford's law and the keenan-atherton data
- On a Distribution Law for Word Frequencies
- Bradford's Law of Bibliography of Science: an Interpretation
- On the Statistics of Individual Variations of Productivity in Research Laboratories
- A SAMPLING THEOREM FOR FINITE DISCRETE DISTRIBUTIONS
- ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS
- Bradford's Law and the Bibliography of Science
- Some remarks on elitism in information and the invisible college phenomenon in science
- Lotka's Law: A Problem in Its Interpretation and Application
- Zipf's Law and Prior Distributions for the Composition of a Population
- The Rank-Frequency Form of Zipf's Law
- NETWORKS OF SCIENTIFIC PAPERS.
- Some Results on the Function and Quality of Citations
- FITTING THE NEGATIVE BINOMIAL DISTRIBUTION TO BIOLOGICAL DATA AND NOTE ON THE EFFICIENT FITTING OF THE NEGATIVE BINOMIAL
Cited by
- Bayesian nonparametric models of sparse and exchangeable random graphs
- Bradford's Law: Theory, Empiricism and the Gaps Between
- A unified model for informetrics based on the wave and heat equations
- Some qualitative problems in network dynamics
- Universality of Citation Distributions for Academic Institutions and Journals
- Modelling Requirements for EURACE
- Bibliometrics in a nutshell
- Tools for large graph mining
- Algorithms and complex phenomena in networks: Neural ensembles, statistical, interference and online communities
- Webometric network analysis : mapping cooperation and geopolitical connections between local government administration on the web
- The journey from librametry to altmetrics: a look back
- Chapter 1: The Economics of Social Networks
- Network Analysis, Social Dynamics and Feedback in Social Systems
- Predicting Long Term Impact of Scientific Publications
- When Will We Meet Again?Regularities of Social Connectivity As Reflected in Memory and Decision Making
- Evolución temática de las publicaciones sobre Numismática Antigua de Hispania entre 1941 y 2010
- Scale-free networks and scalable interdomain routing
- Complex networks with node intrinsic fitness : on structural properties and contagious phenomena
- Learning and the structure of citation networks
- Advanced Agent-Based Modeling for Social Networks
Related papers
- The Least Upper Bound on the Poisson-Negative Binomial Relative Error
- Some results for moment-empirical cumulative distribution functions
- Estimation of a distribution function bounded by two known distribution functions
- Characterizing the Empirical Distribution of Prokaryotic Genome n-mers in the Presence of Nullomers
- Confidence regions having different shapes for the failure distribution function
- Derivative of Reduced Cumulative Distribution Function and Applications
- On dynamic cumulative past inaccuracy measure based on extropy
- A model for risk assessment of a large earthquake with application to Chilean data
- Measuring the Noise Cumulative Distribution Function Using Quantized Data