The paper proposes a heuristic approach to modeling the cumulative distribution of citations of papers in scientific journals by means of the Wakeby distribution. The Markov process of citation leading to the Wakeby distribution is analyzed using the terminal time formalism. The Wakeby distribution is derived in the paper from the simple and general inhomogeneous Choquet-Deny convolution equation for a non-probability measure. We give statistical evidence that the Wakeby distribution is a reasonable approximation of the empirical citation distributions. AMS Subject Classification: 91D30; 91D99.
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http://dx.doi.org/10.1186/s40064-015-0821-1 | DOI Listing |
Heliyon
July 2019
Institute for Statistical Studies and Economics of Knowledge, National Research University Higher School of Economics, 20 Myasnitskaya Ulitsa, Moscow 101000, Russian Federation.
Recently, there has been a surge of interest in new data emerged due to the rapid development of the information technologies in scholarly communication. Since the 2010s, altmetrics has become a common trend in scientometric research. However, researchers have not treated in much detail the question of the probability distributions underlying these new data.
View Article and Find Full Text PDFWater Sci Technol
May 2017
Department of Water Science Engineering, Faculty of Agriculture, Bu-Ali Sina University, Hamedan, Iran E-mail:
Heavy metal pollution in urban runoff causes severe environmental damage. Identification of these pollutants and their statistical analysis is necessary to provide management guidelines. In this study, 45 continuous probability distribution functions were selected to fit the Cd and Pb data in the runoff events of an urban area during October 2014-May 2015.
View Article and Find Full Text PDFSpringerplus
November 2015
National Research University Higher School of Economics (HSE), 20 Myasnitskaya Ulitsa, 101000 Moscow, Russia.
The paper is written with the assumption that the purpose of a mathematical theory of citation is to explain bibliometric regularities at the level of mathematical formalism. A mathematical formalism is proposed for the appearance of power law distributions in social citation systems. The principal contributions of this paper are an axiomatic characterization of citation distributions in terms of the Ekeland variational principle and a mathematical exploration of the power law nature of citation distributions.
View Article and Find Full Text PDFJ Biomol Struct Dyn
December 2016
a Department of Biochemistry , All India Institute of Medical Sciences, Room No: 3005A, New Delhi 110029 , India.
Purine repeat sequences present in a gene are unique as they have high propensity to form unusual DNA-triple helix structures. Friedreich's ataxia is the only human disease that is well known to be associated with DNA-triplexes formed by purine repeats. The purpose of this study was to recognize the expanded purine repeats (EPRs) in human genome and find their correlation with cancer pathogenesis.
View Article and Find Full Text PDFSpringerplus
March 2015
Institute of Sociology, Russian Academy of Sciences, 24/35 b.5 Krzhizhanovskogo Ulitsa, Moscow, 117218 Russian Federation.
The paper proposes a heuristic approach to modeling the cumulative distribution of citations of papers in scientific journals by means of the Wakeby distribution. The Markov process of citation leading to the Wakeby distribution is analyzed using the terminal time formalism. The Wakeby distribution is derived in the paper from the simple and general inhomogeneous Choquet-Deny convolution equation for a non-probability measure.
View Article and Find Full Text PDFEnter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!