Informetric systems are formalized in order to make them suitable for mathematical dual analysis: the duality of sources vs. items (sources being the objects that produce while the items are the objects that are produced). The special place of empirical laws, such as those of Bradford, Leimkuhler. Mandelbrot and Lotka, in this framework is indicated.
The paper closes with a section on some of the fundamental problems in informetric systems: higher dimensions, time de pendence and fractal aspects.
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References
1.
A. Bookstein , Informetic distributions: I & II. Forthcoming in Journal of the American Society for Information Science .
2.
S.C. Bradford , Sources of information on specific subjects , Engineering137 ( 1934) 85-88; reprinted in Journal of Information Science10 (1985) 176-180.
3.
Q.L. Burrell and R.V. Cane, The analysis of library data (with discussion) , Journal of the Royal Statistical Society.A145 (1982) 439-471.
4.
L. Egghe, Methodological aspects of bibliometrics, Library Science with a Slant to Documentation and InformationStudies25 (1988) 179-191.
5.
L. Egghe, New Bradfordian laws equivalent with old Lotka laws, evolving from a source-item duality argument. Unpublished manuscript (1989).
6.
L. Egghe, A note on different Bradford multiplicators. Forthcoming in Journal of the American Society for Information Science.
7.
L. Egghe, The duality of informetric systems with applications to the empirical laws . PhD thesis (City University, London, 1989).
8.
L. Egghe and R. Rousseau.Reflections on a deflection: a note on different causes of the Groos droop. Scientometrics14 (1988) 493-511.
9.
J. Feder, Fractals (Plenum, New York , 1988).
10.
E. Garfield , Citation Indexing: its Theory and Application in Science, Technology and Humanities (ISI. Philadelphia, PA, 1983).
11.
S.D. Haitun .Stationary scientometric distributions. Part 1: different approximations. Scientometrics4 (1982) 5-25.
12.
S.D. Haitun .Stationary scientometric distributions. Part II: non-Gaussian nature of scientific activities. Scientometrics4 (1982) 89-104.
13.
S.D. Haitun .Stationary scientometric distributions. Part III: Role of the Zipf distribution. Scientometrics4 (1982) 181-194.
14.
S.D. Haitun , The "rank-distortion" effect and non-Gaussian nature of scientific activities, Scientometrics5 (1983) 375-395.
15.
G. Herdan, Type-Token Mathematics: a Textbook of Mathematical Linguistics ( Mouton, The Hague, 1960).
16.
S. Körner, Experience and Theory: an Essay in the Philosophy of Science ( Routledge and Kegan Paul, London, 1969).
17.
F.F. Leimkuhler , The Bradford distribution. Journal of Documentation23 (1967 ) 197-207.
18.
A.J. Lotka , The frequency distribution of scientific productivity . Journal of the Washington Academy of Sciences16 (1926) 317-323.
19.
B.B. Mandelbrot .Structure formelle des textes et communication , Word10 (1954 ) 1-27.
20.
B.B. Mandelbrot, TheFractal Geometry of Nature ( Freeman, New York. 1983).
21.
M.L. Pao , An empirical examination of Lotka's law, Journal of the American Society for Information Science37 (1986) 26-33.
22.
H.O. Peitgen and P.H. Richter.The Beauty of Fractals: Images of Complex Dynamical Systems (Springer, Berlin , 1986).
23.
D. de Solla Pnce.A general theory of bibliometric and other cumulative advantage processes. Journal of the American Society for Information Science27 (1976 ) 292-306.
24.
R. Rousseau , Lotka's law and its Leimkuhler representation, Library Science with a Slant to Documentation and InformationStudies25 (1988) 150-178.
25.
H. Theil.Economics and Information Theory ( North-Holland , Amsterdam. 1967).
26.
G.K. Zipf, Human Behavior and the Principle of Least Effort ( Addison-Wesley . Cambridge. MA, 1949: reprinted, Hafner, New York , 1965).