Empirical hyperbolic distributions (Bradford-Zipf-Mandelbrot) for bibliometric description and prediction

Since 1960, and especially during the past three years, many papers have appeared about particular manifestations and applications of a certain class of empirical laws to a field that may be labelled conveniently ‘Bibliometrics’. This term, resuscitated by Alan Pritchard (see page 348), denotes, in my paraphrase, quantitative treatment of the properties of recorded discourse and behaviour appertaining to it.

[1]  Brian Skyrms,et al.  Choice And Chance , 1966 .

[2]  WILLIAM GOFFMAN,et al.  Generalization of Epidemic Theory: An Application to the Transmission of Ideas , 1964, Nature.

[3]  Benoit B. Mandelbrot,et al.  Self-Similar Error Clusters in Communication Systems and the Concept of Conditional Stationarity , 1965 .

[4]  B. C. Brookes.  THE DERIVATION AND APPLICATION OF THE BRADFORD‐ZIPF DISTRIBUTION , 1968 .

[5]  Ferdinand F. Leimkuhler,et al.  THE BRADFORD DISTRIBUTION , 1967 .

[6]  E. Fama.  Mandelbrot and the Stable Paretian Hypothesis , 1963 .

[7]  W. Goffman,et al.  Dispersion of Papers among Journals based on a Mathematical Analysis of Two Diverse Medical Literatures , 1969, Nature.

[8]  W. Goffman,et al.  Communication and epidemic processes , 1967, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[9]  A. F. Parker-Rhodes,et al.  A Theory of Word-Frequency Distribution , 1956, Nature.

[10]  W. H. Furry,et al.  Distribution of Numbers and Distribution of Significant Figures , 1945, Nature.

[11]  P. Zunde,et al.  Indexing Consistency and Quality. , 1969 .

[12]  P. F. Cole.  A NEW LOOK AT REFERENCE SCATTERING , 1962 .

[13]  G. Zipf,et al.  The Psycho-Biology of Language , 1936 .

[14]  Charles Gide,et al.  Cours d'économie politique , 1911 .

[15]  WILLIAM GOFFMAN,et al.  Mathematical Approach to the Spread of Scientific Ideas—the History of Mast Cell Research , 1966, Nature.

[16]  WILLIAM GOFFMAN,et al.  Stability of Epidemic Processes , 1966, Nature.

[17]  Eugene Wall,et al.  The distribution of term usage in manipulative indexes , 1964 .

[18]  Kenneth C. Lynn,et al.  A quantitative comparison of conventional information compression techniques in dental literature , 1969 .

[19]  Brian Vickery,et al.  BRADFORD'S LAW OF SCATTERING , 1948 .

[20]  WILLIAM GOFFMAN.  An Epidemic Process in an Open Population , 1965, Nature.

[21]  B. Mandelbrot.  How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension , 1967, Science.

[22]  R. A. Fairthorne,et al.  Towards information retrieval , 1961 .

[23]  Jay M. Berger,et al.  A New Model for Error Clustering in Telephone Circuits , 1963, IBM J. Res. Dev..

[24]  Ole V. Groos.  Bradford's law and the keenan-atherton data , 1967 .

[25]  Lewis F. Richardson,et al.  Statistics Of Deadly Quarrels , 1960 .

[26]  A. D. Booth,et al.  ON THE GEOMETRY OF LIBRARIES , 1969 .

[27]  B.Sc. R.A. Fairthorne.  INFORMATION THEORY AND CLERICAL SYSTEMS , 1953 .

[28]  M. G. Kendall,et al.  The Bibliography of Operational Research , 1960 .

[29]  George Kingsley Zipf,et al.  Human behavior and the principle of least effort , 1949 .

[30]  P. Zunde,et al.  Distribution of indexing terms for maximum efficiency of information transmission , 1967 .

[31]  Alfred J. Lotka,et al.  The frequency distribution of scientific productivity , 1926 .

[32]  John D. Leith.  Biomedical literature: analysis of journal articles collected by a radiation- and cell-biologist , 1969 .

[33]  Benoit B. Mandelbrot,et al.  An outline of a purely phenomenological theory of statistical thermodynamics-I: Canonical ensembles , 1956, IRE Trans. Inf. Theory.

[34]  S. A. GOUDSMIT,et al.  Significant Figures of Numbers in Statistical Tables , 1944, Nature.

[35]  Gustav Herdan,et al.  The advanced theory of language as choice and chance , 1968 .

[36]  Benoit B. Mandelbrot,et al.  Structure Formelle des Textes et Communication , 1954 .

[37]  G. Yule,et al.  A Mathematical Theory of Evolution, Based on the Conclusions of Dr. J. C. Willis, F.R.S. , 1925 .

[38]  B. Mandelbrot.  The Variation of Certain Speculative Prices , 1963 .

[39]  B.Sc. R.A. Fairthorne,et al.  AUTOMATA AND INFORMATION , 1952 .

[40]  L. Brillouin,et al.  Science and information theory , 1956 .