title: On a heuristic point of view concerning the citation distribution: introducing the Wakeby distribution.
abstract: 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.
authors.affiliation: National Research University Higher School of Economics, 20 Myasnitskaya Ulitsa, Moscow, 101000 Russian Federation.
authors.forename: Yurij L
authors.initials: YL
authors.lastname: Katchanov
authors.affiliation: Institute of Sociology, Russian Academy of Sciences, 24/35 b.5 Krzhizhanovskogo Ulitsa, Moscow, 117218 Russian Federation.
authors.forename: Yulia V
authors.initials: YV
authors.lastname: Markova
keywords: Bibliometrics; Choquet – Deny convolution equation; Citation distributions; Wakeby distribution