{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,11]],"date-time":"2023-10-11T06:35:54Z","timestamp":1697006154486},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"3-6","license":[{"start":{"date-parts":[[1985,3,1]],"date-time":"1985-03-01T00:00:00Z","timestamp":478483200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Scientometrics"],"published-print":{"date-parts":[[1985,3]]},"DOI":"10.1007\/bf02017161","type":"journal-article","created":{"date-parts":[[2005,8,12]],"date-time":"2005-08-12T02:23:00Z","timestamp":1123813380000},"page":"459-470","source":"Crossref","is-referenced-by-count":15,"title":["Stable non-Gaussian distributions in scientometrics"],"prefix":"10.1007","volume":"7","author":[{"given":"A. I.","family":"Yablonsky","sequence":"first","affiliation":[]}],"member":"297","reference":[{"issue":"No. 5","key":"BF02017161_CR1","doi-asserted-by":"crossref","first-page":"292","DOI":"10.1002\/asi.4630270505","volume":"27","author":"D. Solla Price De","year":"1976","unstructured":"D. DE SOLLA PRICE, A general theory of bibliometric and other cumulative advantage processes,Journal of American Society for Information Science, 27 (1976), No. 5, p. 292.","journal-title":"Journal of American Society for Information Science"},{"key":"BF02017161_CR2","unstructured":"V. M. PETROV, A. I. YABLONSKY,Matematika i sotsialnye protsessy (giperbolicheskie raspredeleniya i ikh primenenie) (Mathematics and Social Processes (Hyperbolic Distributions and their Application)), Moscow, Moscow, 1980."},{"key":"BF02017161_CR3","unstructured":"D. DE SOLLA PRICE,Little Science, Big Science, Columbia Univ. Press, 1963."},{"issue":"No. 2","key":"BF02017161_CR4","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1177\/030631277600600205","volume":"6","author":"P. D. Allison","year":"1976","unstructured":"P. D. ALLISON, D. DE S. PRICE, B. C. GRIFFITH, M. J. MORAVCSIK, J. A. STEWART, Lotka's Law: a Problem in its Interpretation and Application,Social Studies of Science, 6 (1976) No. 2, p. 269\u2013276.","journal-title":"Social Studies of Science"},{"issue":"No. 1","key":"BF02017161_CR5","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/BF02016597","volume":"2","author":"A. I. Yablonsky","year":"1980","unstructured":"A. I. YABLONSKY, On Fundamental Regularities of the Distribution of Scientific Productivity,Scientometrics, 2 (1980) No. 1, p. 3\u201334.","journal-title":"Scientometrics"},{"key":"BF02017161_CR6","unstructured":"A. I. YABLONSKY,Modeli i metody matematicheskogo issledovaniya nauki (nauchno-analiticheski obzor), Models and methods of mathematical science of science (a scientific analytical survey), Moscow, 1977."},{"key":"BF02017161_CR7","unstructured":"A. I. YABLONSKY, Stokhasticheskie modeli nauchnoi deyatel'nosti. Sistemnye issledovaniya,Yezhegodnik-1975, (Stochastic models of scientific activity. In:Systems research, Yearbook 1975, Moscow, 1975). The author is indebted to S. D. HAITUN for presenting and propagating in his surveys, in particular, \u201cNaukometriya-sostoyanie i perspektivy (Scientometrics: status and outlook) Moscow, 1983\u201d, the concepts expressed by A. I. YABLONSKY, as a \u201cnon-Gaussian approach to scientometrics with the aid of stable non-Gaussian distributions\u201d7 (further developed in this paper). Unfortunately, in his presentation of our concept S. D. HAITUN made some errors. For instance, in the above survey he wrote: \u201cGaussian non-Zipf distributions (Gaussian, Poisson, etc.) have \u03b1=2\" (p. 189). This is not true because in the Gaussian distribution \u03b1=2 and in the Poisson distribution \u03b1 is not present as a characteristic index. He went on saying that \u201cdistributions of the non-Gaussian totality of stationary distributions of human entropy have a higher entropy than distribution of a Gaussian totality of stationary natural distributions\u201d (p. 189). This is not true in general, because the entropy of any distribution can, depending on the associated parameters, take on a fairly wide range of values (in particular, for the Gaussian distribution the entropy is controlled by the variance). HAITUN was also wrong in saying \u201cHuman society develops towards higher entropy\u201d (p. 189). Development always tends to reduce the entropy which is a mesure of disorder and degradation. These examples illustrate the need of a more stringent and consistent approach to the very delicate subject of Gaussian processes."},{"key":"BF02017161_CR8","unstructured":"M. Z. BOR, Nauka upravleniys i upravlenie nauchnymi issledovaniyami. V. kn.:Problemy upravleniya nauchnymi issledovaniyami (The Management Science and Research Management), in:Problems in Research Management) Moscow, 1973, p. 13."},{"key":"BF02017161_CR9","unstructured":"A. YA. KHINCHIN,Predel'nye zakony dlia summ nezavisimykh sluchainykh velichin, (Limit Laws for Sums on Independent Random Values). Moscow \u2014 Leningrad, 1938."},{"key":"BF02017161_CR10","unstructured":"J. STEINDL,Random Processes and the Growth of Firms, N.-Y., 1965."},{"key":"BF02017161_CR11","first-page":"419","volume-title":"Handbook of Mathematical Psychology","author":"N. Chomsky","year":"1963","unstructured":"N. CHOMSKY, G. A. MILLER, Finitary Models of Language Users,Handbook of Mathematical Psychology, Vol. 2 John Wiley & Sons, Inc., New York, 1963, pp. 419\u2013491."},{"key":"BF02017161_CR12","unstructured":"B. V. GNEDENKO, A. N. KOLMOGOROV.Predel'nye raspredeleniya dlia summ nezavisimykh sluchainykh velichin (Limit Distributions for Sums of Independent Random Values), Moscow \u2014 Leningrad, 1949."},{"key":"BF02017161_CR13","first-page":"75","volume-title":"Probability: a Survey of the Mathematical Theory","author":"J. Lamperti","year":"1966","unstructured":"J. LAMPERTI,Probability: a Survey of the Mathematical Theory, Dartmouth College, New York-Amsterdam, 1966, p. 75."},{"key":"BF02017161_CR14","unstructured":"YU. V. PROKHOROV, YU. A. ROZANOV,Teoriya veroyatnosti (Theory of Probability) Moscow, 1967, p. 238."},{"key":"BF02017161_CR15","first-page":"111","volume-title":"System Engineering: an Introduction to the Design of Large-scale Systems","author":"H. H. Goode","year":"1957","unstructured":"H. H. GOODE, R. E. MACHOL,System Engineering: an Introduction to the Design of Large-scale Systems, Mc-Graw Hill Book Company, Inc., New York-Toronto-London, 1957, p. 111."},{"key":"BF02017161_CR16","unstructured":"B. A. SEVASTIANOV,Vetviashchiesia protsessy, (Branching Processes). Moscow, 1971."},{"key":"BF02017161_CR17","unstructured":"W. FELLER,A Introduction to Probability Theory and its Application Vol. I. Second edition. John Wiley and Sons, Inc., New York, Chapman & Hall, Ltd., London."},{"key":"BF02017161_CR18","unstructured":"G. N. DOBROV,Nauka o nauke (Science of Science), Kiev, 1970, p. 170."},{"key":"BF02017161_CR19","unstructured":"G. K. ZIPF,Human Behaviour and the Principle of Least Effort, Cambridge, 1949."},{"key":"BF02017161_CR20","volume-title":"An Introduction to Probability Theory and its Application","author":"W. Feller","year":"1966","unstructured":"W. FELLER,An Introduction to Probability Theory and its Application. Vol. II. John Wiley & Sons, Inc., New York-London-Sydney, 1966."},{"key":"BF02017161_CR21","unstructured":"O. LANGE,Vvedenie v ekonometriku (Introduction into Econometrics). Moscow, 1964."}],"container-title":["Scientometrics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02017161.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02017161\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02017161","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T11:41:58Z","timestamp":1557834118000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02017161"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1985,3]]},"references-count":21,"journal-issue":{"issue":"3-6","published-print":{"date-parts":[[1985,3]]}},"alternative-id":["BF02017161"],"URL":"https:\/\/doi.org\/10.1007\/bf02017161","relation":{},"ISSN":["0138-9130","1588-2861"],"issn-type":[{"value":"0138-9130","type":"print"},{"value":"1588-2861","type":"electronic"}],"subject":[],"published":{"date-parts":[[1985,3]]}}}