Some results and applications of geometric counting processes

DOI10.1007/s11009-018-9649-9zbMath1411.60111OpenAlexW2810787979WikidataQ129611495 ScholiaQ129611495MaRDI QIDQ1739377

Franco Pellerey, Antonio Di Crescenzo

Publication date: 26 April 2019

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-018-9649-9

zbMATH Keywords

stochastic ordersshock modelscounting processesagingmultivariate geometric distributionfirst-crossing time

Mathematics Subject Classification ID

Markov renewal processes, semi-Markov processes (60K15) Continuous-time Markov processes on discrete state spaces (60J27) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (8)

ANALYSIS AND APPLICATIONS OF THE RESIDUAL VARENTROPY OF RANDOM LIFETIMES ⋮ A generalized Gompertz growth model with applications and related birth-death processes ⋮ Competing risks and shock models governed by a generalized bivariate Poisson process ⋮ Some Poisson-based processes at geometric times ⋮ On properties of the phase-type mixed Poisson process and its applications to reliability shock modeling ⋮ On the telegraph process driven by geometric counting process with Poisson-based resetting ⋮ Fractional generalized cumulative entropy and its dynamic version ⋮ On some finite-velocity random motions driven by the geometric counting process

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