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Tibor Braun and Ildikó Dióspatonyi
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Tibor Braun: Information Science and Scientometrics Research Unit (ISSRU) Institute for Research Policy Studies, Hungarian Academy of Sciences
Ildikó Dióspatonyi: Information Science and Scientometrics Research Unit (ISSRU), Institute for Research Policy Studies, Hungarian Academy of Sciences

Scientometrics, 2005, vol. 62, issue 3, No 1, 297-319

Abstract: Summary An incomplete bibliography (or, more generally, an incomplete Information Production Process (IPP)) can be considered as a sample from a complete one. Sampling can be done in the sources or in the items. The simplest sampling technique is the systematic one where every k th source or k th item is taken (alternatively: deleted) (kÎû). In this paper we give a definition of systematic sampling in items and sources in the framework of an IPP in which we have continuous variables. We prove the theorem that in such IPPs we have a Lotkaian size-frequency function (i.e. a decreasing power function) if and only if systematic sampling in sources is the same as systematic sampling in items. In this proof we use the well-known characterization of power functions as scale-free functions.

Date: 2005
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DOI: 10.1007/s11192-005-0023-7

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