Models for power law relations in linguistics and information science

Journal of Quantitative Linguistics

Volumn 5, Issue 1-2, 1998, Pages 35-61

  Naranan, S ^a   Balasubrahmanyan, V K ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001835919     PISSN: 09296174     EISSN: 17445035     Source Type: Journal    
DOI: 10.1080/09296179808590110     Document Type: Review

References (65)

1. Altmann, G. (1980). Prolegomena to Menzerath's Law. In R. Grotjahn (Ed.), Glottometrika 2 (pp. 1-10). Bochum: Brockmeyer.
2. Altmann, G. (1993). Science and linguistics, contributions to quantitative linguistics. In R. Köhler & B.B. Rieger (Eds.), Contributions to quantitative linguistics (pp. 3-10). Dordrecht, Boston, London: Kluwer.
3. Balasubrahmanyan, V.K., & Naranan, S. (1996). Quantitative linguistics and complex system studies. Journal of Quantitative Linguistics, 3, 177-228.
4. Bennett, C.H. (1990). How to define complexity in physics and why? In W.H. Zurek (Ed.), Complexity, entropy and the physics of information 7(pp. 137-148). Redwood City, CA: Addison Wesley.
5. Bookstein, A. (1990). Informetric distributions, Part I: Unified overview. Journal of the American Society for Information Science, 41, 368-375.
6. Bradford, S.C. (1934). Sources of information on specific subjects. Engineering, 137, 85-86.
7. Bradford, S.C. (1948). Documentation. London: Crosby Lockwood.
8. Broadus, R.N. (1987). Early approaches to Bibliometrics. Journal of the American Association for Information Science, 38, 127-129.
9. Brookes, B.C. (1969). Bradford's Law and the bibliography of science. Nature, 224, 953-956.
10. Brookes, B.C. (1984). Towards Informetrics: Haitun, Laplace, Zipf, Bradford and the Alvey programme. Journal of Documentation, 40, 120-142.
11. Chaitin, G.J. (1987). Algorithmic Information Theory. Cambridge: Cambridge University Press.
12. Crystal, D. (1987). Cambridge encyclopedia of language. Cambridge: Cambridge University Press.
13. Crow, E.L., & Shimuzu, K. (Eds.) (1988). Lognormal distribution: Theory and applications. New York: Marcel Dekker.
14. Dewey, G. (1923). Relative frequencies of English speech sounds. Cambridge MA: Harvard University Press.
15. Dolby, J.A. (1971). Programming languages in mechanised documentation. Journal of Documentation, 27, 136-155.
16. Egghe, L., & Rousseau, R. (1990). Introduction to Informetrics. Amsterdam: Elsevier.
17. Estoup, J.B. (1916). Gammes sténographiques (4th ed.). Paris: Institut Sténographique.
18. Fermi, E. (1949). On the origin of cosmic radiation. Physics Review, 75, 1169ff.
19. Gell-Mann, M. (1994). The Quark and the Jaguar, adventures in the simple and the complex. New York: W.H. Freeman & Co.
20. Goffman, W., & Warren, K.S. (1969). Dispersion of papers among journals based on a mathematical analysis of two diverse medical literatures. Nature, 221, 1205-1207.
21. Goffman, W., & Morris, T.G. (1970). Bradford's Law and library acquisition. Nature, 226, 922-923.
22. Grassberger, P. (1986). Towards a quantitative theory of self-generated complexity. International Journal of Theoretical Physics, 25, 907-938.
23. International Journal of Theoretical Physics, 31, 525-543.
24. Haken, H. (Ed.) (1973). Synergetics, cooperative phenomena in multicomponent systems. Stuttgart: Teubner.
25. Herdan, G. (1958a). Quantitative linguistics. London: MacMillan Press.
26. 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.
27. Hřebíček, L. (1995). Text levels: Language constructs, constituents and the Menzerath-Altmann law (=Quantitative Linguistics, 56). Trier: Wissenschaftlicher Verlag Trier.
28. Keeping, E.S. (1962). Introduction to statistical inference. New York: D. Van Nostrand.
29. Köhler, R. (1986). Zur Linguistischen Synergetik: Struktur und Dynamik der Lexik. Bochum: Brockmeyer.
30. Köhler, R., & Galle, M. (1993). Dynamic aspects of text characteristics. In G. Altmann & L. Hřebíček (Eds.), Quantitative text analysis (pp. 46-53). Trier: WVT.
31. Kolmogorov, A.N. (1965). Three approaches to the quantitative definition of information. Problems in Information Transmission, 1, 3-7.
32. Kuhn, T. (1962). The structure of scientific revolutions. Chicago, IL: University of Chicago Press.
33. Li, W. (1992). Random texts exhibit Zipf's Law like word frequency distribution. IEEE Transactions on Information Theory, 38, 1842-1845.
34. Li, W. (1996). Comments to "Bell curves and monkey languages", J. Casti (1995). Complexity, 1, 12-15,
35. Complexity, 2, 6.
36. Lotka, A.J. (1926). The frequency distribution of scientific productivity. Journal of the Washington Academy of Sciences, 16, 317-323.
37. Mandelbrot, B. (1953). An informational theory of the statistical structure of language. In W. Jackson (Ed.), Communication theory (pp. 486-500). London: Butterworths.
38. Mandelbrot, B. (1966). Information theory and psycholinguistics: A theory of word frequencies. In P.F. Lazarsfield & N.W. Henry (Eds.), Readings in mathematical social sciences (pp. 151-168). Cambridge, MA: M.I.T Press.
39. Mandelbrot, B. (1982). The fractal geometry of nature. San Francisco: W.H. Freeman & Co.
40. Menzerath, P. (1954). Die Architektonik des deutschen Wortschatzes. Bonn: Dümmler.
41. Naranan, S. (1970). Bradford's Law of science bibliography: An interpretation. Nature, 227, 631-632.
42. Naranan, S. (1971). Power Law relations in science bibliography: A self-consistent interpretation. Journal of Documentation, 27, 83-97.
43. Naranan, S. (1989). Power Law version of Bradford's Law: Statistical tests and methods of estimation. Scientometrics, 17, 211-226.
44. 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.
45. Naranan, S., & Balasubrahmanyan, V.K. (1992a). Information theoretic models in statistical linguistics - Part I: A model for word frequencies. Current Science, 63, 261-269.
46. Naranan, S., & 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.
47. Nicolis, J. (1991). Chaos and information processing. River Edge, NJ: World Scientific.
48. Pareto, V. (1897). Course d'Economie Politique. (Vol. 2). Lausanne: Université de Lausanne.
49. Pollack, R. (1994). Signs of life: The language and meaning of DNA. London: Penguin Books.
50. Pritchard, A. (1969). Statistical bibliography or bibliometrics? Journal of Documentation, 25, 348-349.
51. Shannon, C.E. (1948). Bell System Technical Journal, 27, 379-423, 623-656.
52. Shannon, C.E. & Weaver, W. (1949). The mathematical theory of communication. Urbana IL: University of Illinois).
53. de Solla Price, D.J. (1967). in The growth of knowledge. M. Kochen (ed.), New York: Wiley.
54. Stanley, H.E. (1990). Correlations and connectivity, geometrical aspects of physics, chemistry and biology. Dordrecht: Kluwer.
55. Stanley, H.E. (1995). Phase transitions and universality. Nature, 378, 554.
56. Teupenhayn, R., & Altmann, G. (1984). Clause length and Menzerath's Law. In J. Boy (Ed.), Glottometrika 6 (pp. 127-138). Bochum: Brockmeyer.
57. Thisted, R., & Efron, B. (1987). Did Shakespeare write a newly discovered poem? Biometrika, 74, 445-455.
58. Tuldava, J. (1995). Methods in Quantitative Linguistics. Trier: Wissenschaftlicher Verlag Trier.
59. West, B.J. (1990). Fractal forms in physiology. International Journal of Modern Physics B, 4, 1629-1669.
60. Willis, J.C. (1922). Age and area; A study in geographical distribution of origin of species. Cambridge: Cambridge University Press.
61. Yule, G.U. (1944). A statistical study of literary vocabulary. Cambridge: Cambridge University Press.
62. Zipf, G.K. (1935). The psycho-biology of language. New York: Houghton Mifflin Co.
63. Zipf, G.K. (1942). Children's Speech. Science, 96, 344-345.
64. Zipf, G.K. (1949). Human behavior and the principle of least effort. Reading: Addison-Wesley.
65. Zurek, W.H. (1989). Algorithmic randomness and physical entropy. Physical Review A, 40, 4731-4751.