The Mittag-Leffler function in the thinning theory for renewal processes

DOI10.1090/tpms/1065zbMath1422.60152arXiv1808.06563OpenAlexW2969814725WikidataQ127355449 ScholiaQ127355449MaRDI QIDQ5230211

Rudolf Gorenflo, Francesco Mainardi

Publication date: 21 August 2019

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06563

zbMATH Keywords

renewal processesPoisson processqueueing theoryMittag-Leffler functionsthinning (rarefaction)

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Mittag-Leffler functions and generalizations (33E12) Renewal theory (60K05)

Cites Work

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• Stochastic Processes in Science, Engineering and Finance
• Time-fractional derivatives in relaxation processes: a tutorial survey
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Mittag-Leffler Functions, Related Topics and Applications

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