Models for power law relations in linguistics and information science

References

• Altmann , G. 1980 . “ Prolegomena to Menzerath's Law ” . In Glottometrika , Edited by: Grotjahn , R. Vol. 2 , 1 – 10 . Bo‐chum : Brockmeyer .
   Google Scholar
• Altmann , G. 1993 . “ Science and linguistics, contributions to quantitative linguistics ” . In Contributions to quantitative linguistics , Edited by: Köhler , R. and Rieger , B.B. 3 – 10 . Dordrecht, Boston, London : Kluwer .
   Google Scholar
• Balasubrahmanyan , V.K. and Naranan , S. 1996 . Quantitative linguistics and complex system studies . Journal of Quantitative Linguistics , 3 : 177 – 228 .
   Google Scholar
• Bennett , C.H. 1990 . “ How to define complexity in physics and why? ” . In Complexity, entropy and the physics of information , Edited by: Zurek , W.H. Vol. 7 , 137 – 148 . Redwood City, CA : Addison Wesley .
   Google Scholar
• Bookstein , A. 1990 . Informetric distributions, Part I: Unified overview . Journal of the American Society for Information Science , 41 : 368 – 375 .
   Web of Science ®Google Scholar
• Bradford , S.C. 1934 . Sources of information on specific subjects . Engineering , 137 : 85 – 86 .
   Google Scholar
• Bradford , S.C. 1948 . Documentation , London : Crosby Lockwood .
   Google Scholar
• Broadus , R.N. 1987 . Early approaches to Bibliomet‐rics . Journal of the American Association for Information Science , 38 : 127 – 129 .
   Google Scholar
• Brookes , B.C. 1969 . Bradford's Law and the bibliography of science . Nature , 224 : 953 – 956 .
   PubMed Web of Science ®Google Scholar
• Brookes , B.C. 1984 . Towards Informetrics: Haitun, Laplace, Zipf, Bradford and the Alvey programme . Journal of Documentation , 40 : 120 – 142 .
   Google Scholar
• Chaitin , G.J. 1987 . Algorithmic Information Theory , Cambridge : Cambridge University Press .
   Google Scholar
• Crystal , D. 1987 . Cambridge encyclopedia of language , Cambridge : Cambridge University Press .
   Google Scholar
• Crow , E.L. and Shimuzu , K. , eds. 1988 . Lognormal distribution: Theory and applications , New York : Marcel Dekker .
   Google Scholar
• Dewey , G. 1923 . Relative frequencies of English speech sounds , Cambridge, MA : Harvard University Press .
   Google Scholar
• Dolby , J.A. 1971 . Programming languages in mechanised documentation . Journal of Documentation , 27 : 136 – 155 .
   Web of Science ®Google Scholar
• Egghe , L. and Rousseau , R. 1990 . Introduction to Informetrics , Amsterdam : Elsevier .
   Google Scholar
• Estoup , J.B. 1916 . Gammes sténographiques , 4th ed. , Paris : Institut Sténographique .
   Google Scholar
• Fermi , E. 1949 . On the origin of cosmic radiation . Physics Review , 75 : 1169ff
   Google Scholar
• Gell‐Mann , M. 1994 . The Quark and the Jaguar, adventures in the simple and the complex , New York : W.H. Freeman & Co. .
   Google Scholar
• Goffman , W. and Warren , K.S. 1969 . Dispersion of papers among journals based on a mathematical analysis of two diverse medical literatures . Nature , 221 : 1205 – 1207 .
   PubMed Web of Science ®Google Scholar
• Goffman , W. and Morris , T.G. 1970 . Bradford's Law and library acquisition . Nature , 226 : 922 – 923 .
   PubMed Web of Science ®Google Scholar
• Grassberger , P. 1986 . Towards a quantitative theory of self‐generated complexity . International Journal of Theoretical Physics , 25 : 907 – 938 .
   Web of Science ®Google Scholar
• International Journal of Theoretical Physics , 31 525 – 543 .
   Google Scholar
• Haken , H. , ed. 1973 . Synergetics, cooperative phenomena in multicomponent systems , Stuttgart : Teub‐ner .
   Google Scholar
• Herdan , G. 1958a . Quantitative linguistics , London : MacMillan Press .
   Google Scholar
• Herdan , G. 1958b . The relation between dictionary distribution and occurrence distribution of word length and its importance for the study of quantitative linguistics . Biometrika , 45 : 222 – 228 .
   Web of Science ®Google Scholar
• Hrebíček , L. 1995 . Text levels: Language constructs, constituents and the Menzerath‐Altmann law (=Quantitative Linguistics, 56) , Trier : Wissenschaftlicher Verlag Trier .
   Google Scholar
• Keeping , E.S. 1962 . Introduction to statistical inference , New York : D. Van Nostrand .
   Google Scholar
• Köhler , R. 1986 . Zur Linguistischen Synergetik: Struktur und Dynamik der Lexik , Bochum : Brockmeyer .
   Google Scholar
• Köhler , R. and Galle , M. 1993 . “ Dynamic aspects of text characteristics ” . In Quantitative text analysis , Edited by: Altmann , G. and Hrebíček , L. 46 – 53 . Trier : WVT .
   Google Scholar
• Kolmogorov , A.N. 1965 . Three approaches to the quantitative definition of information . Problems in Information Transmission , 1 : 3 – 7 .
   Google Scholar
• Kuhn , T. 1962 . The structure of scientific revolutions , Chicago, IL : University of Chicago Press .
   Google Scholar
• Li , W. 1992 . Random texts exhibit Zipf's Law like word frequency distribution . IEEE Transactions on Information Theory , 38 : 1842 – 1845 .
   Web of Science ®Google Scholar
• Li , W. 1996 . Comments to “Bell curves and monkey languages” . J. Casti , 1995
   Google Scholar
• Complexity , 1 12 – 15 .
   Google Scholar
• Complexity , 2 6
   Google Scholar
• Lotka , A.J. 1926 . The frequency distribution of scientific productivity . Journal of the Washington Academy of Sciences , 16 : 317 – 323 .
   Google Scholar
• Mandelbrot , B. 1953 . “ An informational theory of the statistical structure of language ” . In Communication theory , Edited by: Jackson , W. 486 – 500 . London : But‐terworths .
   Google Scholar
• Mandelbrot , B. 1966 . “ Information theory and psy‐cholinguistics: A theory of word frequencies ” . In Readings in mathematical social sciences , Edited by: Lazarsfield , P.F. and Henry , N.W. 151 – 168 . Cambridge, MA : M.I.T Press .
   Google Scholar
• Mandelbrot , B. 1982 . The fractal geometry of nature , San Francisco : W.H. Freeman & Co .
   Google Scholar
• Menzerath , P. 1954 . Die Architektonik des deutschen Wortschatzes , Bonn : Dümmler .
   Google Scholar
• Naranan , S. 1970 . Bradford's Law of science bibliography: An interpretation . Nature , 227 : 631 – 632 .
   PubMed Web of Science ®Google Scholar
• Naranan , S. 1971 . Power Law relations in science bibliography: A self‐consistent interpretation . Journal of Documentation , 27 : 83 – 97 .
   Web of Science ®Google Scholar
• Naranan , S. 1989 . Power Law version of Bradford's Law: Statistical tests and methods of estimation . Sci‐entometrics , 17 : 211 – 226 .
   Web of Science ®Google Scholar
• Naranan , S. 1992 . Statistical laws in information science, language and system of natural numbers: Some striking similarities . Journal of Scientific and Industrial Research , 51 : 736 – 755 .
   Web of Science ®Google Scholar
• Naranan , S. and Balasubrahmanyan , V.K. 1992a . Information theoretic models in statistical linguistics ‐Part I: A model for word frequencies . Current Science , 63 : 261 – 269 .
   Web of Science ®Google Scholar
• Naranan , S. and Balasubrahmanyan , V.K. 1992b . Information theoretic models in statistical linguistics — Part II: Word frequencies and hierarchical structure in language ‐ statistical tests . Current Science , 63 : 297 – 306 .
   Web of Science ®Google Scholar
• Naranan , S. and Balasubrahmanyan , V.K. 1993 . Information theoretic model for frequency distribution of words and speech sounds (phonemes) in language . Journal of Scientific & Industrial Research , 52 : 728 – 738 .
   Web of Science ®Google Scholar
• Nicolis , J. 1991 . Chaos and information processing , River Edge, NJ : World Scientific .
   Google Scholar
• Pareto , V. 1897 . Course d'Economie Politique , Vol. 2 , Lausanne : Université de Lausanne .
   Google Scholar
• Pollack , R. 1994 . Signs of life: The language and meaning of DNA , London : Penguin Books .
   Google Scholar
• Pritchard , A. 1969 . Statistical bibliography or biblio‐metrics? . Journal of Documentation , 25 : 348 – 349 .
   Web of Science ®Google Scholar
• Shannon , C.E. 1948 . Bell System Technical Journal , 27 : 379 – 423 . 623 – 656 .
   Web of Science ®Google Scholar
• Shannon , C.E. and Weaver , W. , eds. 1949 . The mathematical theory of communication , Urbana, IL : University of Illinois .
   Google Scholar
• de Solla Price , D.J. 1967 . The growth of knowledge , Edited by: Kochen , M. New York : Wiley .
   Google Scholar
• Stanley , H.E. 1990 . Correlations and connectivity, geometrical aspects of physics, chemistry and biology , Dordrecht : Kluwer .
   Google Scholar
• Stanley , H.E. 1995 . Phase transitions and universality . Nature , 378 : 554
   Web of Science ®Google Scholar
• Teupenhayn , R. and Altmann , G. 1984 . “ Clause length and Menzerath's Law ” . In Glottometrika , Edited by: Boy , J. Vol. 6 , 127 – 138 . Bochum : Brockmeyer .
   Google Scholar
• Thisted , R. and Efron , B. 1987 . Did Shakespeare write a newly discovered poem? . Biometrika , 74 : 445 – 455 .
   Web of Science ®Google Scholar
• Tuldava , J. 1995 . Methods in Quantitative Linguistics , Trier : Wissenschaftlicher Verlag Trier .
   Google Scholar
• West , B.J. 1990 . Fractal forms in physiology . International Journal of Modern Physics B , 4 : 1629 – 1669 .
   Google Scholar
• Willis , J.C. 1922 . Age and area; A study in geographical distribution of origin of species , Cambridge : Cambridge University Press .
   Google Scholar
• Yule , G.U. 1944 . A statistical study of literary vocabulary , Cambridge : Cambridge University Press .
   Google Scholar
• Zipf , G.K. 1935 . The psycho‐biology of language , New York : Houghton Mifflin Co. .
   Google Scholar
• Zipf , G.K. 1942 . Children's Speech . Science , 96 : 344 – 345 .
   PubMedGoogle Scholar
• Zipf , G.K. 1949 . Human behavior and the principle of least effort , Reading : Addison‐Wesley .
   Google Scholar
• Zurek , W.H. 1989 . Algorithmic randomness and physical entropy . Physical Review A , 40 : 4731 – 4751 .
   PubMed Web of Science ®Google Scholar
• Address correspondence to: S. Naranan, 20 A/3, Second Cross Street, Jayaramnagar, Thiruvanmiyur, Chennai 6000041, India; V.K. Balasubrahmanyan, “Shanmukhapriya”;, 34 Rajmahal Vilas Extension (II Stage), Bangalore 560094, India.
   Google Scholar