Scientometrics
Volume/Issue:
Volume 5: Issue 4
Stochastic model for innovation and resulting skew distribution for technological concentration with verification in Japanese industry
Authors:
H. Eto The University of Tsukuba Institute of Socio-Technology 305 Sakura, Ibaraki (Japan) 305 Sakura, Ibaraki (Japan)

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and
K. Makino Chuo University Department of Mathematics Kasuga, Bunkyo-ku 112 Tokyo (Japan) Kasuga, Bunkyo-ku 112 Tokyo (Japan)

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Pages:
219–243
Online Publication Date:
06 Aug 2005
Publication Date:
26 Jul 1983
Article Category:
Research Article
DOI:
https://doi.org/10.1007/bf02019739
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Abstract  

Technological resources are shown to be more concentrated to a few firms than economic wealth. To explain such concentrations, the self-multiplication process with cycle between the innovative and stagnant ages is modeled in terms of the stochastic process. This yields a family of new distributions which is named the ultra-Yule distribution. This new distribution which is quite skew is show to fit the real distributions of patents and of R & D expenditure in the Japanese industry better than the Yule distribution. The properties of this new distribution is discussed.

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Cover Scientometrics
Scientometrics
Print ISSN:
0138-9130
Online ISSN:
1588-2861

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Scientometrics
Language English
Size B5
Year of
Foundation		 1978
Volumes
per Year		 1
Issues
per Year		 12
Founder Akadémiai Kiadó
Founder's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0138-9130 (Print)
ISSN 1588-2861 (Online)

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