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http://hdl.handle.net/1942/824
Sat, 21 Jun 2014 14:14:48 GMT2014-06-21T14:14:48ZThe cumulative advantage function. A mathematical formulation based on conditional expectations and its application to scientometric distributions
http://hdl.handle.net/1942/852
<h5>Title</h5>The cumulative advantage function. A mathematical formulation based on conditional expectations and its application to scientometric distributions
<h5>Authors</h5>GlĂ¤nzel, Wolfgang; Schubert, Andras
<h5>Abstract</h5>Cumulative advantage principle is a specific law underlying several social, particularly , bibliometric and scientometric processes. This phenomenon was described by single- and multiple-urn models (Price
(1976). Tague (1981)). A theoretical model for cumulative advantage growth was developed by Schubert and Glaenzel (1984). This paper
presents an exact measure of the cumulative advantage effect based on conditional expectations. For a given bibliometric random variable X (e.g. publication activity , citation rate) the cumulative advantage function i s defined as d k ) = E(iK-k)[(X-k) b O)/E(X). The 'extent of
advantage' is studied on the basis of limit properties of this function. The behavior of ~ ( k ) is discussed for the urn-model distributions, particularly for its most prominent representants,
the negative-binomial and the Waring distribution. The discussion is illustrated by several examples from bibliometric distributions.Mon, 01 Jan 1990 00:00:00 GMThttp://hdl.handle.net/1942/8521990-01-01T00:00:00ZCriteria of Gaussian/non-Gaussian nature of distrubution and populations
http://hdl.handle.net/1942/853
<h5>Title</h5>Criteria of Gaussian/non-Gaussian nature of distrubution and populations
<h5>Authors</h5>Haitun, S.D.
<h5>Abstract</h5>The use of Gaussian distributions in approximations of samples of non-Gaussian populations leads to irreproducible results. Non-Gaussian distribution ~ should be used i n these cases. The criteria
of Gaussianhon-Gaussian nature for distributions are distinct , thus making it possible to unequivocally show which distribution and at
which values o f parameters i s Gaussianlnon-Gaussian. For populations, the criteria are more blurred. An alternative is to use only Zipfian
distributions as approximations. The correctness o f various distributions (GIGP, GW etc) and the methods of their use in informetrics and scientometrics is analysed.Mon, 01 Jan 1990 00:00:00 GMThttp://hdl.handle.net/1942/8531990-01-01T00:00:00ZGrowth and citation selection rates in rapidly growing sciences from date stacking and bibliographic databases
http://hdl.handle.net/1942/860
<h5>Title</h5>Growth and citation selection rates in rapidly growing sciences from date stacking and bibliographic databases
<h5>Authors</h5>Hall, D.H.
<h5>Abstract</h5>Growth of literature in a field was taken as an indicator of the growth of the field as a whole. Stacked citation dataatid the yearly accumulation of literature were found for 3 fields i n the geosciences : Geology and Geophysics of Mars (1962-1985), Magnetic Stratigraphy (1957-1977) and early Seismology (1600-1750). The yearly accumulation for the first two fields was found from a computerized bibliographic database (GEOREF). That for early Seismology was found from a published bibliography. Phases of logistic growth and of exponential growth as well as several periods
of constant rate of selection of citations were found.Mon, 01 Jan 1990 00:00:00 GMThttp://hdl.handle.net/1942/8601990-01-01T00:00:00ZSocial stratification of authors revealed from the coauthorship network
http://hdl.handle.net/1942/861
<h5>Title</h5>Social stratification of authors revealed from the coauthorship network
<h5>Authors</h5>Kretschmer, Hildrun
<h5>Abstract</h5>Seven bibliographies frm the fields of medicine, physics and social sciences were used. The authors were classified by groups i n accordance with the number of publications per author. Studies were made t o detenine the statistically expected number of coauthorships by proceeding fran assuming an independence of coauthorship between authors from the number of their publications.
Hypothesis : The proportion of the sum of coauthorship found between authors with the same number of publications t o the sun of the statistically expected one i s larger than the proportion of the sum of coauthorships found between authors with a different number of
publications t o the sum of the statistically expected one. This hypothesis could be verified i n all seven bibliographies.
Coauthorships between authors do not come i n t o being independently of the nunber of their publications, i .e. o f their social ranks.Mon, 01 Jan 1990 00:00:00 GMThttp://hdl.handle.net/1942/8611990-01-01T00:00:00Z