Simon's generating mechanism: Consequences and their correspondence to empirical facts
✍ Scribed by Oluić-Vuković, Vesna
- Book ID
- 101252318
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 374 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0002-8231
No coin nor oath required. For personal study only.
✦ Synopsis
By considering hypothetically the Bradford distribution,
it is appropriate to model informetric distributions, to as a dynamic system developing in time on the principle the authors who refuted its validity, either suggesting a formally equivalent to that proposed by Simon, it was different approach or setting up alternative models. Reshown that though the Simon generating mechanism cent interest, however, mostly focuses on the refined vergives rise to certain qualitative features ascribed to data, sion of the model (Ijiri & Simon, 1977; Simon, 1955; the resulting distribution function, derived as a steadystate solution of the proposed stochastic process, is too Simon & Van Wormer, 1963), proposed with the aim restricted to cope with the variation produced in time.
of providing a more realistic setting. Unlike the original The empirical evidence, combined with the results of version in which Simon seeks to describe an equilibrium goodness-of-fit test, strongly support this fact, showing process, the refined model is relaxed (without altering explicitly that the changes in the shape of the distribution that appear in the course of time, particularly the essentially the form of the solution derived under the changes in the low producing tail, reduce excessively the assumption of steady-state), by means of the following scope of the model marking the limits of its applicability. parameters: (a) The decreasing entry rate of the new sources, a; and (b) the autocorellated growth rate of the active sources, g. As a result of this broader definition