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Problemy Peredachi Informatsii, 2009, Volume 45, Issue 3, Pages 98–105
(Mi ppi1993)
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This article is cited in 1 scientific paper (total in 1 paper)
Communication Network Theory
On one top news list model
A. V. Lebedev M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Chair of Probability Theory
Abstract:
We introduce a top news list model based on extremal shot noise with Poisson arrival flow. We find one- and multi-dimensional distributions of popularity of current news (at arbitrary time and at infinity), as well as distributions of places of news in a top list and their sojourn times in a stationary regime. We consider in detail the case where the popularity of a news item is Pareto distributed at the initial time and then decreases exponentially.
Received: 24.10.2008 Revised: 15.05.2009
Citation:
A. V. Lebedev, “On one top news list model”, Probl. Peredachi Inf., 45:3 (2009), 98–105; Problems Inform. Transmission, 45:3 (2009), 282–288
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https://www.mathnet.ru/eng/ppi1993 https://www.mathnet.ru/eng/ppi/v45/i3/p98
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Abstract page: | 314 | Full-text PDF : | 78 | References: | 50 | First page: | 6 |
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