The underlying process generating Lotka's Law and the statistics of exceedances

Information Processing and Management

Volumn 34, Issue 4, 1998, Pages 471-487

  Huber, John C ^a  

^a Inst for Invention and Innovation   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION MANAGEMENT; MATHEMATICAL TECHNIQUES; PATENTS AND INVENTIONS; STATISTICS;

LOTKA LAW; SCIENTIFIC PUBLICATION;

INFORMATION DISSEMINATION;

EID: 0032119694     PISSN: 03064573     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0306-4573(98)00013-2     Document Type: Article

References (50)

1. Abramowitz, M. & Stegun, I. A. (Eds.) (1964). Handbook of mathematical functions with formulas, graphs, and mathematical tables. Washington, DC: National Bureau of Standards.
2. Bookstein, A. (1990). Informetric distributions, part II: Resilience to ambiguity. Journal of the American Society for Information Science, 41, 376-386.
3. Bowen, D. D., Perloff, R., & Jacoby (1972). Improving manuscript evaluation procedures. American Psychologist, 27, 221-225.
4. Burge, D. A. (1984). Patent and trademark practices (2nd ed.). New York: John Wiley and Sons.
5. Burrell, Q. L., & Fenton, M. R. (1993). Yes, the GIGP really does work - and is workable!. Journal of the American Society for Information Science, 44, 61-69.
6. Castillo, E. (1988). Extreme value theory in engineering. New York: Academic Press.
7. Davison, A. C. (1984). Modeling excesses over high thresholds, with an application. In J. Taiago de Oliveira (Ed.), Statistical Extremes and Applications (pp. 461-482). Dordecht, Holland: D. Reidel.
8. Embrechts, P., Kluppelberg, C. & Mikosch, T. (1997). Modelling extremal events for insurance and finance. Berlin: Springer.
9. Feller, W. (1943). On a general class of contagious distributions. Annals of Mathematical Statistics, 14, 389-400.
10. Gumbel, E. J. (1960). Statistics of extremes. New York: Columbia University Press.
11. Gupta, B. M., & Karisiddappa, C. R. (1997). Productivity of authors as reflected by duration of their scientific participation and speed of publication. Scientometrics, 39, 281-291.
12. Haitun, S. D. (1982). Stationary scientometric distributions. Part II. Non-Gaussian nature of scientific activities. Scientometrics, 4, 89-102.
13. Hargens, L. L., & Herting, J. R. (1990). Neglected considerations in the analysis of agreement among journal referees. Scientometrics, 19, 91-106.
14. Huber, J. C. (in press a). Invention and inventivity as a special kind of creativity, with implications for general creativity. Journal of Creative Behavior, accepted.
15. Huber, J. C. (in press b). Invention and inventivity is a random, Poisson process: A potential guide to analysis of general creativity. Creativity Research Journal, accepted.
16. Johnson, N. L., Kotz, S. & Kemp, A. W. (1992) Univariate discrete distributions (2nd ed.). New York: John Wiley and Sons.
17. Johnson, N. L., Kotz, S., & Kemp, A. W. (1993). Univariate discrete distributions, (2nd ed.). New York: John Wiley & Sons.
18. Johnson, N. L., Kotz, S. & Balakrishnan, N. (1994). Continuous univariate distributions (2nd ed., vol. 1). New York: John Wiley and Sons.
19. Johnson, N. L., Kotz, S. & Balakrishnan, N. (1995). Continuous univariate distributions (2nd ed., vol. 2). New York: John Wiley and Sons.
20. Leavens, D. H. (1953). Letter to the editor. Econometrica, 21, 630-632.
21. Lilliefors, H. W. (1969). On the Kolmogorov-Smirnov test for the exponential distribution with the mean unknown. Journal of the American Statistical Association, 64, 387-389.
22. Lindsey, D. (1988). Assessing precision in the manuscript review process: A little better than a dice roll. Scientometrics, 14, 75-82.
23. Lindsey, D. (1991). Precision in the manuscript review process: Hargens and Hertig revisited. Scientometrics, 22, 313-325.
24. Lotka, A. J. (1926). The frequency of distribution of scientific productivity. Journal of the Washington Acad. of Science, 16, 317-323.
25. Mahoney, M. J. (1977). Publication prejudices: An experimental study of confirmatory bias in the peer review system. Cognitive Theory and Research, 1, 161-175.
26. Mantell, L. H. (1966). On laws of special abilities and the production of science literature. American Documentation, 17, 8-16.
27. McReynolds, P. (1971). Reliability of ratings of research papers. American Psychologist, 26, 400-401.
28. Murphy, L. J. (1973). Lotka's law in the humanities? Journal of the American Society for Information Science, 1, 461-462.
29. Narin, F., & Breitzman, A. (1995). Inventive productivity. Research Policy, 24, 507-519.
30. Oberhettinger, F. & Badii, L. (1973). Tables of Laplace transforms. New York: Springer-Verlag.
31. Oberhettinger, F. (1974). Tables of Mellin transforms. New York: Springer-Verlag.
32. Pao, M. L. (1979). Bibliometrics and computational musicology. Collection Management, 3, 97-109.
33. Pao, M. L. (1986). An empirical examination of Lotka's law. Journal of the American Society for Information Science, 37, 26-33.
34. Perline, R. K. (1982). An extreme value model of weakly harmonic (Pareto-Zipf type) laws. (University Microfilms No. T28491).
35. Pickands, J. (1975). Statistical inference using extreme order statistics. The Annals of Statistics, 3, 119-131.
36. Price, D. J. D. (1963). Little science, big science. New York: Columbia University Press.
37. Prudnikov, A. P., Brychkov, Yu. A. & Marichev, O. I. (1992). Integrals and series: Direct Laplace transforms. New York: Gordon and Breach Science Publishers.
38. Schuster, E. F. (1994). Exchangability and recursion in the conditional distribution theory of number and length of runs. In A. P. Godbole and S. G. Papastavridis (Eds.), Runs and patterns in probability: selected papers (pp. 91-118). Boston MA: Kluwer Academic Publishers.
39. Shockley, W. (1957). On the statistics of individual variations of productivity in research laboratories. Proceedings of the IRE, 47, 279-290.
40. Sichel, H. S. (1985). A bibliometric distribution which really works. Journal of the American Society for Information Science, 36, 314-321.
41. Simonton, D. K. (1997). Creative productivity: A predictive and explanatory model of career trajectories and landmarks. Psychological Review, 104, 66-89.
42. Smith, R. L. (1984). Threshold methods for sample extremes. In J. Taiago de Oliveira (Ed.), Statistical Extremes and Applications (pp. 621-638). Dordecht, Holland: D. Reidel.
43. Snedecor, G. W. & Cochran, W. G. (1989). Statistical methods (8th ed.). Ames IA: Iowa State University Press.
44. Springer, M. D. (1979). The algebra of random variables. New York: John Wiley and Sons.
45. U.S. Bureau of the Census (1996). Statistical abstract of the United States. Springfield, VA: National Technical Information Service.
46. U.S. Patent and Trademark Office (1996). Manual of patent examining procedure. Washington, DC: U.S. Government Printing Office.
47. Voos, H. (1974). Lotka and information science. Journal of the American Society for Information Science, 25, 270-272.
48. Wagner-Dobler, R. (1995). Where has the cumulative advantage gone?Some observations about the frequency distribution of scientific productivity, of duration of scientific participation, and of speed of publication. Scientometrics, 32, 123-132.
49. Winship, C., & Mare, R. D. (1992). Models for sample selection bias. Annual Review of Sociology, 18, 327-350.
50. Zuckerman, H., & Merton, R. K. (1971). Patterns of evaluation in science: Institutionalization, structure and functions of the referee system. Minerva, 9, 66-100.