Zong, Guangdeng; Qi, Wenhai; Shi, Yang Advances on modeling and control of semi-Markovian switching systems: a survey. (English) Zbl 1525.93432 J. Franklin Inst. 360, No. 16, 12598-12619 (2023). MSC: 93E03 93C30 93B12 93D40 PDFBibTeX XMLCite \textit{G. Zong} et al., J. Franklin Inst. 360, No. 16, 12598--12619 (2023; Zbl 1525.93432) Full Text: DOI
Liu, Mingyu; Xie, Jing; Kao, Yonggui Stochastic bounded consensus for multi-agent systems with fractional Brownian motions via sliding mode control. (English) Zbl 1511.93012 Appl. Math. Comput. 446, Article ID 127879, 14 p. (2023). MSC: 93A16 93B12 93D50 93E15 PDFBibTeX XMLCite \textit{M. Liu} et al., Appl. Math. Comput. 446, Article ID 127879, 14 p. (2023; Zbl 1511.93012) Full Text: DOI
Bouzebda, Salim; Limnios, Nikolaos The uniform CLT for the empirical estimator of countable state space semi-Markov kernels indexed by functions with applications. (English) Zbl 07622177 J. Nonparametric Stat. 34, No. 4, 758-788 (2022). MSC: 62Gxx 60J28 60K15 60G09 62F40 PDFBibTeX XMLCite \textit{S. Bouzebda} and \textit{N. Limnios}, J. Nonparametric Stat. 34, No. 4, 758--788 (2022; Zbl 07622177) Full Text: DOI
Frascolla, Cindy; Lecuelle, Guillaume; Schlich, Pascal; Cardot, Hervé Two sample tests for semi-Markov processes with parametric sojourn time distributions: an application in sensory analysis. (English) Zbl 1505.62145 Comput. Stat. 37, No. 5, 2553-2580 (2022). MSC: 62-08 PDFBibTeX XMLCite \textit{C. Frascolla} et al., Comput. Stat. 37, No. 5, 2553--2580 (2022; Zbl 1505.62145) Full Text: DOI
Dessertaine, Théo; Godrèche, Claude; Bouchaud, Jean-Philippe Occupation time of a renewal process coupled to a discrete Markov chain. (English) Zbl 07565680 J. Stat. Mech. Theory Exp. 2022, No. 6, Article ID 063204, 20 p. (2022). MSC: 82-XX PDFBibTeX XMLCite \textit{T. Dessertaine} et al., J. Stat. Mech. Theory Exp. 2022, No. 6, Article ID 063204, 20 p. (2022; Zbl 07565680) Full Text: DOI arXiv
Ascione, Giacomo; Cuomo, Salvatore A sojourn-based approach to semi-Markov reinforcement learning. (English) Zbl 1489.65019 J. Sci. Comput. 92, No. 2, Paper No. 36, 44 p. (2022). MSC: 65C40 68T07 90C39 90C40 PDFBibTeX XMLCite \textit{G. Ascione} and \textit{S. Cuomo}, J. Sci. Comput. 92, No. 2, Paper No. 36, 44 p. (2022; Zbl 1489.65019) Full Text: DOI arXiv
Ayhar, Chafiâa; Barbu, Vlad Stefan; Mokhtari, Fatiha; Rahmani, Saâdia On the asymptotic properties of some kernel estimators for continuous-time semi-Markov processes. (English) Zbl 07531535 J. Nonparametric Stat. 34, No. 2, 299-318 (2022). MSC: 62Gxx 60Gxx 60Fxx 62Mxx PDFBibTeX XMLCite \textit{C. Ayhar} et al., J. Nonparametric Stat. 34, No. 2, 299--318 (2022; Zbl 07531535) Full Text: DOI
Bandaliyev, R. A.; Ibayev, E. A.; Omarova, K. K. Investigation of fractional order differential equation for boundary functional of a semi-Markov random walk process with negative drift and positive jumps. (English) Zbl 1498.60352 Chaos Solitons Fractals 152, Article ID 111394, 5 p. (2021). MSC: 60K15 60G50 34A08 PDFBibTeX XMLCite \textit{R. A. Bandaliyev} et al., Chaos Solitons Fractals 152, Article ID 111394, 5 p. (2021; Zbl 1498.60352) Full Text: DOI
Kaalen, Stefan; Nyberg, Mattias; Mattsson, Olle Transient analysis of hierarchical semi-Markov process models with tool support in Stateflow. (English) Zbl 1491.68124 Abate, Alessandro (ed.) et al., Quantitative evaluation of systems. 18th international conference, QEST 2021, Paris, France, August 23–27, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12846, 105-126 (2021). MSC: 68Q85 68Q87 PDFBibTeX XMLCite \textit{S. Kaalen} et al., Lect. Notes Comput. Sci. 12846, 105--126 (2021; Zbl 1491.68124) Full Text: DOI
Michelitsch, Thomas M.; Polito, Federico; Riascos, Alejandro P. On discrete time Prabhakar-generalized fractional Poisson processes and related stochastic dynamics. (English) Zbl 07464377 Physica A 565, Article ID 125541, 40 p. (2021). MSC: 82-XX PDFBibTeX XMLCite \textit{T. M. Michelitsch} et al., Physica A 565, Article ID 125541, 40 p. (2021; Zbl 07464377) Full Text: DOI arXiv
Wu, Bei; Maya, Brenda Ivette Garcia; Limnios, Nikolaos Using semi-Markov chains to solve semi-Markov processes. (English) Zbl 1478.60242 Methodol. Comput. Appl. Probab. 23, No. 4, 1419-1431 (2021); correction ibid. 23, No. 4, 1433-1434 (2021). MSC: 60K15 60K20 60G05 PDFBibTeX XMLCite \textit{B. Wu} et al., Methodol. Comput. Appl. Probab. 23, No. 4, 1419--1431 (2021; Zbl 1478.60242) Full Text: DOI
Votsi, I.; Gayraud, G.; Barbu, V. S.; Limnios, N. Hypotheses testing and posterior concentration rates for semi-Markov processes. (English) Zbl 1477.62228 Stat. Inference Stoch. Process. 24, No. 3, 707-732 (2021). MSC: 62M07 62H15 62G35 PDFBibTeX XMLCite \textit{I. Votsi} et al., Stat. Inference Stoch. Process. 24, No. 3, 707--732 (2021; Zbl 1477.62228) Full Text: DOI arXiv
Li, Ke; Mu, Xiaowu Necessary and sufficient conditions for leader-following consensus of multi-agent systems with random switching topologies. (English) Zbl 1478.93630 Nonlinear Anal., Hybrid Syst. 37, Article ID 100905, 14 p. (2020). MSC: 93D50 93E15 93A13 93A16 93C30 PDFBibTeX XMLCite \textit{K. Li} and \textit{X. Mu}, Nonlinear Anal., Hybrid Syst. 37, Article ID 100905, 14 p. (2020; Zbl 1478.93630) Full Text: DOI
Danisman, Ozgur; Uzunoglu Kocer, Umay Construction of a semi-Markov model for the performance of a football team in the presence of missing data. (English) Zbl 1516.62232 J. Appl. Stat. 46, No. 3, 559-576 (2019). MSC: 62-XX PDFBibTeX XMLCite \textit{O. Danisman} and \textit{U. Uzunoglu Kocer}, J. Appl. Stat. 46, No. 3, 559--576 (2019; Zbl 1516.62232) Full Text: DOI
Orsingher, Enzo; Ricciuti, Costantino; Toaldo, Bruno On semi-Markov processes and their Kolmogorov’s integro-differential equations. (English) Zbl 1396.60094 J. Funct. Anal. 275, No. 4, 830-868 (2018). Reviewer: Ze-Chun Hu (Chengdu) MSC: 60K15 60J25 60G51 PDFBibTeX XMLCite \textit{E. Orsingher} et al., J. Funct. Anal. 275, No. 4, 830--868 (2018; Zbl 1396.60094) Full Text: DOI arXiv
Sohier, Julien The scaling limits of a heavy tailed Markov renewal process. (English. French summary) Zbl 1271.60095 Ann. Inst. Henri Poincaré, Probab. Stat. 49, No. 2, 483-505 (2013). Reviewer: Josef Steinebach (Köln) MSC: 60K15 60K05 60K20 82B27 PDFBibTeX XMLCite \textit{J. Sohier}, Ann. Inst. Henri Poincaré, Probab. Stat. 49, No. 2, 483--505 (2013; Zbl 1271.60095) Full Text: DOI arXiv Euclid
Masala, Giovanni Earthquakes occurrences estimation through a parametric semi-Markov approach. (English) Zbl 1514.86012 J. Appl. Stat. 39, No. 1, 81-96 (2012). MSC: 86A15 60K15 60K20 62M09 62P12 PDFBibTeX XMLCite \textit{G. Masala}, J. Appl. Stat. 39, No. 1, 81--96 (2012; Zbl 1514.86012) Full Text: DOI
D’Amico, Guglielmo; Guillen, Montserrat; Manca, Raimondo Full backward non-homogeneous semi-Markov processes for disability insurance models: a Catalunya real data application. (English) Zbl 1231.91169 Insur. Math. Econ. 45, No. 2, 173-179 (2009). MSC: 91B30 60K15 PDFBibTeX XMLCite \textit{G. D'Amico} et al., Insur. Math. Econ. 45, No. 2, 173--179 (2009; Zbl 1231.91169) Full Text: DOI
D’Amico, Guglielmo; Janssen, Jacques; Manca, Raimondo Semi-Markov reliability models with recurrence times and credit rating applications. (English) Zbl 1175.91190 J. Appl. Math. Decis. Sci. 2009, Article ID 625712, 17 p. (2009). MSC: 91G40 60K15 PDFBibTeX XMLCite \textit{G. D'Amico} et al., J. Appl. Math. Decis. Sci. 2009, Article ID 625712, 17 p. (2009; Zbl 1175.91190) Full Text: DOI EuDML
Di Biase, Giuseppe; D’Amico, Guglielmo; Di Girolamo, Arturo; Janssen, Jacques; Iacobelli, Stefano; Tinari, Nicola; Manca, Raimondo A stochastic model for the HIV/AIDS dynamic evolution. (English) Zbl 1360.92068 Math. Probl. Eng. 2007, Spec. Issue, Article ID 65636, 14 p. (2007). MSC: 92C60 PDFBibTeX XMLCite \textit{G. Di Biase} et al., Math. Probl. Eng. 2007, Article ID 65636, 14 p. (2007; Zbl 1360.92068) Full Text: DOI
Jacod, Jean Systemes regeneratifs et processus semi-Markoviens. (French) Zbl 0282.60059 Z. Wahrscheinlichkeitstheor. Verw. Geb. 31, 1-23 (1974). MSC: 60K15 PDFBibTeX XMLCite \textit{J. Jacod}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 31, 1--23 (1974; Zbl 0282.60059) Full Text: DOI
Jacod, Jean Semi-groupes et mesures invariantes pour les processus semi-markoviens à espace d’etat quelconque. (French) Zbl 0254.60065 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. B 9, 77-112 (1973). MSC: 60K15 28C10 PDFBibTeX XMLCite \textit{J. Jacod}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. B 9, 77--112 (1973; Zbl 0254.60065) Full Text: Numdam EuDML
Cinlar, E. Markov additive processes. I. (English) Zbl 0236.60047 Z. Wahrscheinlichkeitstheor. Verw. Geb. 24, 85-93 (1972). MSC: 60J25 PDFBibTeX XMLCite \textit{E. Cinlar}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 24, 85--93 (1972; Zbl 0236.60047) Full Text: DOI
Serfozo, Richard F. Semi-stationary processes. (English) Zbl 0236.60029 Z. Wahrscheinlichkeitstheor. Verw. Geb. 23, 125-132 (1972). MSC: 60G10 60F05 PDFBibTeX XMLCite \textit{R. F. Serfozo}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 23, 125--132 (1972; Zbl 0236.60029) Full Text: DOI
Jacod, J. Théorème de renouvellement et classification pour les chaînes semi- markoviennes. (French) Zbl 0217.50502 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. B 7, 83-129 (1971). MSC: 60K20 PDFBibTeX XMLCite \textit{J. Jacod}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. B 7, 83--129 (1971; Zbl 0217.50502) Full Text: Numdam EuDML
Williams, David Fictitious states, coupled laws and local time. (English) Zbl 0181.21202 Z. Wahrscheinlichkeitstheor. Verw. Geb. 11, 288-310 (1969). PDFBibTeX XMLCite \textit{D. Williams}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 11, 288--310 (1969; Zbl 0181.21202) Full Text: DOI
Mizuki, M. Analyses of subensembles of M/G/1 queueing sequences. (English) Zbl 0143.20303 Isr. J. Math. 3, 236-247 (1965). PDFBibTeX XMLCite \textit{M. Mizuki}, Isr. J. Math. 3, 236--247 (1965; Zbl 0143.20303) Full Text: DOI
Karlin, S.; Fabens, A. J. Generalized renewal functions and stationary inventory models. (English) Zbl 0203.22104 J. Math. Anal. Appl. 5, 461-487 (1962). PDFBibTeX XMLCite \textit{S. Karlin} and \textit{A. J. Fabens}, J. Math. Anal. Appl. 5, 461--487 (1962; Zbl 0203.22104) Full Text: DOI