Oçafrain, William An ergodic theorem for asymptotically periodic time-inhomogeneous Markov processes, with application to quasi-stationarity with moving boundaries. (English) Zbl 1512.60049 Adv. Appl. Probab. 55, No. 2, 672-700 (2023). MSC: 60J25 60F25 60J55 60J60 60J65 60J70 PDFBibTeX XMLCite \textit{W. Oçafrain}, Adv. Appl. Probab. 55, No. 2, 672--700 (2023; Zbl 1512.60049) Full Text: DOI arXiv
Li, Kexuan; Polunchenko, Aleksey S.; Pepelyshev, Andrey Analytic evaluation of the fractional moments for the quasi-stationary distribution of the Shiryaev martingale on an interval. (English) Zbl 1497.60112 Commun. Stat., Simulation Comput. 50, No. 9, 2705-2720 (2021). MSC: 60J60 60J65 62L10 PDFBibTeX XMLCite \textit{K. Li} et al., Commun. Stat., Simulation Comput. 50, No. 9, 2705--2720 (2021; Zbl 1497.60112) Full Text: DOI arXiv Link
Manzo, Francesco; Quattropani, Matteo; Scoppola, Elisabetta A probabilistic proof of Cooper & Frieze’s “First Visit Time Lemma”. (English) Zbl 1482.60099 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1739-1758 (2021). MSC: 60J10 60J28 PDFBibTeX XMLCite \textit{F. Manzo} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1739--1758 (2021; Zbl 1482.60099) Full Text: arXiv Link
Alberti, F.; Baake, E.; Letter, I.; Martínez, S. Solving the migration-recombination equation from a genealogical point of view. (English) Zbl 1465.92072 J. Math. Biol. 82, No. 5, Paper No. 41, 27 p. (2021). MSC: 92D15 60J20 PDFBibTeX XMLCite \textit{F. Alberti} et al., J. Math. Biol. 82, No. 5, Paper No. 41, 27 p. (2021; Zbl 1465.92072) Full Text: DOI arXiv
Pollock, Murray; Fearnhead, Paul; Johansen, Adam M.; Roberts, Gareth O. Quasi-stationary Monte Carlo and the ScaLE algorithm. (English) Zbl 07554789 J. R. Stat. Soc., Ser. B, Stat. Methodol. 82, No. 5, 1167-1221 (2020). MSC: 62-XX PDFBibTeX XMLCite \textit{M. Pollock} et al., J. R. Stat. Soc., Ser. B, Stat. Methodol. 82, No. 5, 1167--1221 (2020; Zbl 07554789) Full Text: DOI arXiv
Mao, Yonghua Markov chains: ergodicity, quasi-stationarity and asymmetry. (Chinese. English summary) Zbl 1499.60255 Sci. Sin., Math. 50, No. 1, 101-118 (2020). MSC: 60J10 37A25 PDFBibTeX XMLCite \textit{Y. Mao}, Sci. Sin., Math. 50, No. 1, 101--118 (2020; Zbl 1499.60255) Full Text: DOI
Arapostathis, Ari; Borkar, Vivek S. A variational characterization of the optimal exit rate for controlled diffusions. (English) Zbl 1470.60221 Theory Probab. Math. Stat. 102, 5-19 (2020). MSC: 60J60 93E20 35P15 60F10 PDFBibTeX XMLCite \textit{A. Arapostathis} and \textit{V. S. Borkar}, Theory Probab. Math. Stat. 102, 5--19 (2020; Zbl 1470.60221) Full Text: DOI arXiv
Cato, Susumu Quasi-stationary social welfare functions. (English) Zbl 1447.91054 Theory Decis. 89, No. 1, 85-106 (2020). MSC: 91B15 91B14 PDFBibTeX XMLCite \textit{S. Cato}, Theory Decis. 89, No. 1, 85--106 (2020; Zbl 1447.91054) Full Text: DOI
Polunchenko, Aleksey S.; Pepelyshev, Andrey Analytic moment and Laplace transform formulae for the quasi-stationary distribution of the Shiryaev diffusion on an interval. (English) Zbl 1408.60070 Stat. Pap. 59, No. 4, 1351-1377 (2018). MSC: 60J60 60J25 PDFBibTeX XMLCite \textit{A. S. Polunchenko} and \textit{A. Pepelyshev}, Stat. Pap. 59, No. 4, 1351--1377 (2018; Zbl 1408.60070) Full Text: DOI arXiv Link
Shamolin, M. V. Phase portraits of dynamical equations of motion of a rigid body in a resistive medium. (English. Russian original) Zbl 1423.70015 J. Math. Sci., New York 233, No. 3, 398-425 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 135 (2017). MSC: 70E15 70K05 34D20 37N20 PDFBibTeX XMLCite \textit{M. V. Shamolin}, J. Math. Sci., New York 233, No. 3, 398--425 (2018; Zbl 1423.70015); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 135 (2017) Full Text: DOI
Nåsell, Ingemar An alternative to moment closure. (English) Zbl 1372.92090 Bull. Math. Biol. 79, No. 9, 2088-2108 (2017). MSC: 92D25 60J28 PDFBibTeX XMLCite \textit{I. Nåsell}, Bull. Math. Biol. 79, No. 9, 2088--2108 (2017; Zbl 1372.92090) Full Text: DOI arXiv
Chen, Jinwen; Jian, Siqi; Li, Haitao Representations for the decay parameter of Markov chains. (English) Zbl 1414.60055 Bernoulli 23, No. 3, 2058-2082 (2017). Reviewer: László Lakatos (Budapest) MSC: 60J10 60J27 PDFBibTeX XMLCite \textit{J. Chen} et al., Bernoulli 23, No. 3, 2058--2082 (2017; Zbl 1414.60055) Full Text: DOI
Li, Junping; Zhang, Lina Decay property of stopped Markovian bulk-arriving queues with \(c\)-servers. (English) Zbl 1357.60101 Stoch. Models 32, No. 4, 674-686 (2016). Reviewer: Hans Daduna (Hamburg) MSC: 60K25 60J27 60J28 60J35 90B22 PDFBibTeX XMLCite \textit{J. Li} and \textit{L. Zhang}, Stoch. Models 32, No. 4, 674--686 (2016; Zbl 1357.60101) Full Text: DOI
Diaconis, Persi; Miclo, Laurent On quantitative convergence to quasi-stationarity. (English. French summary) Zbl 1335.60142 Ann. Fac. Sci. Toulouse, Math. (6) 24, No. 4, 973-1016 (2015). MSC: 60J27 60F99 60G10 PDFBibTeX XMLCite \textit{P. Diaconis} and \textit{L. Miclo}, Ann. Fac. Sci. Toulouse, Math. (6) 24, No. 4, 973--1016 (2015; Zbl 1335.60142) Full Text: DOI arXiv
van Doorn, Erik A.; Pollett, Philip K. Quasi-stationary distributions for discrete-state models. (English) Zbl 1317.60093 Eur. J. Oper. Res. 230, No. 1, 1-14 (2013). MSC: 60J27 60-02 PDFBibTeX XMLCite \textit{E. A. van Doorn} and \textit{P. K. Pollett}, Eur. J. Oper. Res. 230, No. 1, 1--14 (2013; Zbl 1317.60093) Full Text: DOI
Méléard, Sylvie; Villemonais, Denis Quasi-stationary distributions and population processes. (English) Zbl 1261.92056 Probab. Surv. 9, 340-410 (2012). MSC: 92D40 92D25 60J70 60J80 65C50 PDFBibTeX XMLCite \textit{S. Méléard} and \textit{D. Villemonais}, Probab. Surv. 9, 340--410 (2012; Zbl 1261.92056) Full Text: DOI arXiv Euclid
Huillet, Thierry E. A branching diffusion model of selection: from the neutral Wright-Fisher case to the one including mutations. (English) Zbl 1411.60128 Int. Math. Forum 7, No. 1-4, 1-36 (2012). MSC: 60J85 92D10 92D15 PDFBibTeX XMLCite \textit{T. E. Huillet}, Int. Math. Forum 7, No. 1--4, 1--36 (2012; Zbl 1411.60128) Full Text: arXiv Link
Zachová, Dagmar; Kukal, Jaromir; Vyšata, Oldřich Robust linear predictor as EEG fluctuation analyzer in diagnosis of Alzheimer’s disease. (English) Zbl 1270.93109 Arch. Control Sci. 21, No. 2, 121-133 (2011). MSC: 93E03 92C50 93E12 94A12 PDFBibTeX XMLCite \textit{D. Zachová} et al., Arch. Control Sci. 21, No. 2, 121--133 (2011; Zbl 1270.93109)
Andersson, Patrik; Lindenstrand, David A stochastic SIS epidemic with demography: Initial stages and time to extinction. (English) Zbl 1232.92062 J. Math. Biol. 62, No. 3, 333-348 (2011). MSC: 92D30 60J70 PDFBibTeX XMLCite \textit{P. Andersson} and \textit{D. Lindenstrand}, J. Math. Biol. 62, No. 3, 333--348 (2011; Zbl 1232.92062) Full Text: DOI
Artalejo, J. R.; Lopez-Herrero, M. J. Quasi-stationary and ratio of expectations distributions: a comparative study. (English) Zbl 1407.92123 J. Theor. Biol. 266, No. 2, 264-274 (2010). MSC: 92D30 92D25 60J28 60J85 PDFBibTeX XMLCite \textit{J. R. Artalejo} and \textit{M. J. Lopez-Herrero}, J. Theor. Biol. 266, No. 2, 264--274 (2010; Zbl 1407.92123) Full Text: DOI HAL
Zhou, Da; Wu, Bin; Ge, Hao Evolutionary stability and quasi-stationary strategy in stochastic evolutionary game dynamics. (English) Zbl 1406.91061 J. Theor. Biol. 264, No. 3, 874-881 (2010). MSC: 91A22 91A15 91A05 PDFBibTeX XMLCite \textit{D. Zhou} et al., J. Theor. Biol. 264, No. 3, 874--881 (2010; Zbl 1406.91061) Full Text: DOI
Steijaert, M. N.; Liekens, A. M. L.; Bošnački, D.; Hilbers, P. A. J.; ten Eikelder, H. M. M. Single-variable reaction systems: Deterministic and stochastic models. (English) Zbl 1197.92023 Math. Biosci. 227, No. 2, 105-116 (2010). MSC: 92C45 60K99 37N25 PDFBibTeX XMLCite \textit{M. N. Steijaert} et al., Math. Biosci. 227, No. 2, 105--116 (2010; Zbl 1197.92023) Full Text: DOI
Dabrowski, André; Lee, Jiyeon; McDonald, David R. Large deviations of multiclass \(M/G/1\) queues. (English) Zbl 1180.60076 Can. J. Stat. 37, No. 3, 327-346 (2009). MSC: 60K25 60K20 60F10 PDFBibTeX XMLCite \textit{A. Dabrowski} et al., Can. J. Stat. 37, No. 3, 327--346 (2009; Zbl 1180.60076) Full Text: DOI
Mazhukin, A. V.; Mazhukin, V. I. Dynamic adaptation for parabolic equations. (Russian. English summary) Zbl 07812357 Zh. Vychisl. Mat. Mat. Fiz. 47, No. 11, 1913-1936 (2007); translation in Comput. Math. Math. Phys. 47, No. 11, 1833-1855 (2007). MSC: 35F30 PDFBibTeX XMLCite \textit{A. V. Mazhukin} and \textit{V. I. Mazhukin}, Zh. Vychisl. Mat. Mat. Fiz. 47, No. 11, 1913--1936 (2007; Zbl 07812357); translation in Comput. Math. Math. Phys. 47, No. 11, 1833--1855 (2007) Full Text: DOI MNR
Barra, Adriano; De Sanctis, Luca Free energy expansion in quasi stationary ROSt. (English) Zbl 1123.82029 Adv. Stud. Theor. Phys. 1, No. 1-4, 29-37 (2007). MSC: 82D30 PDFBibTeX XMLCite \textit{A. Barra} and \textit{L. De Sanctis}, Adv. Stud. Theor. Phys. 1, No. 1--4, 29--37 (2007; Zbl 1123.82029)
Coolen-Schrijner, Pauline; van Doorn, Erik A. Quasi-stationary distributions for a class of discrete-time Markov chains. (English) Zbl 1106.60064 Methodol. Comput. Appl. Probab. 8, No. 4, 449-465 (2006). MSC: 60J80 60J10 PDFBibTeX XMLCite \textit{P. Coolen-Schrijner} and \textit{E. A. van Doorn}, Methodol. Comput. Appl. Probab. 8, No. 4, 449--465 (2006; Zbl 1106.60064) Full Text: DOI
Kaplan, Alexander Ya.; Fingelkurts, Andrew A.; Fingelkurts, Alexander A.; Borisov, Sergei V.; Darkhovsky, Boris S. Nonstationary nature of the brain activity as revealed by EEG/MEG: Methodological, practical and conceptual challenges. (English) Zbl 1160.94337 Signal Process. 85, No. 11, 2190-2212 (2005). MSC: 94A12 PDFBibTeX XMLCite \textit{A. Ya. Kaplan} et al., Signal Process. 85, No. 11, 2190--2212 (2005; Zbl 1160.94337) Full Text: DOI
Foley, Robert D.; McDonald, David R. Large deviations of a modified Jackson network: stability and rough asymptotics. (English) Zbl 1063.60134 Ann. Appl. Probab. 15, No. 1B, 519-541 (2005). MSC: 60K25 60K20 PDFBibTeX XMLCite \textit{R. D. Foley} and \textit{D. R. McDonald}, Ann. Appl. Probab. 15, No. 1B, 519--541 (2005; Zbl 1063.60134) Full Text: DOI arXiv
Glynn, Peter W.; Thorisson, Hermann Limit theory for taboo-regenerative processes. (English) Zbl 1061.90031 Queueing Syst. 46, No. 3-4, 271-294 (2004). MSC: 90B22 PDFBibTeX XMLCite \textit{P. W. Glynn} and \textit{H. Thorisson}, Queueing Syst. 46, No. 3--4, 271--294 (2004; Zbl 1061.90031) Full Text: DOI
Glynn, Peter W.; Thorisson, Hermann Structural characterization of taboo-stationarity for general processes in two-sided time. (English) Zbl 1075.60517 Stochastic Processes Appl. 102, No. 2, 311-318 (2002). Reviewer: Jan Seidler (Praha) MSC: 60G10 60J25 PDFBibTeX XMLCite \textit{P. W. Glynn} and \textit{H. Thorisson}, Stochastic Processes Appl. 102, No. 2, 311--318 (2002; Zbl 1075.60517) Full Text: DOI
Nåsell, Ingemar Endemicity, persistence, and quasi-stationarity. (English) Zbl 1021.92037 Castillo-Chavez, Carlos (ed.) et al., Mathematical approaches for emerging and reemerging infectious diseases: An introduction. Proceedings of a tutorial Introduction to epidemiology and immunology. An overview to the IMA workshop on mathematical approaches for emerging and reemerging infectious diseases: Models, methods and theory. IMA program on mathematics in biology. New York, NY: Springer. IMA Vol. Math. Appl. 125, 199-227 (2002). MSC: 92D30 60J85 34C60 PDFBibTeX XMLCite \textit{I. Nåsell}, IMA Vol. Math. Appl. 125, 199--227 (2002; Zbl 1021.92037)
Nåsell, Ingemar Stochastic models of some endemic infections. (English) Zbl 0991.92026 Math. Biosci. 179, No. 1, 1-19 (2002). MSC: 92D30 60J70 PDFBibTeX XMLCite \textit{I. Nåsell}, Math. Biosci. 179, No. 1, 1--19 (2002; Zbl 0991.92026) Full Text: DOI
Al-Eideh, Basel M. Quasi stationary distributions in Markov chains with absorbing subchains. (English) Zbl 0863.60064 J. Inf. Optim. Sci. 16, No. 2, 281-286 (1995). MSC: 60J10 PDFBibTeX XMLCite \textit{B. M. Al-Eideh}, J. Inf. Optim. Sci. 16, No. 2, 281--286 (1995; Zbl 0863.60064) Full Text: DOI
Knoth, Sven Quasi-stationary CUSUM-procedures for Erlang distributions. (Quasistationäre CUSUM-Verfahren bei Erlangverteilung.) (German) Zbl 0835.62094 Chemnitz-Zwickau: Fak. f. Math., Univ. Chemnitz-Zwickau, 114 S. (1995). MSC: 62P30 62L10 45B05 PDFBibTeX XMLCite \textit{S. Knoth}, Quasistationäre CUSUM-Verfahren bei Erlangverteilung. Chemnitz-Zwickau: Fak. f. Math., Univ. Chemnitz-Zwickau (1995; Zbl 0835.62094)
Gerontidis, Ioannis I. Cyclic strong ergodicity in nonhomogeneous Markov systems. (English) Zbl 0748.60059 SIAM J. Matrix Anal. Appl. 13, No. 2, 550-566 (1992). MSC: 60J20 92D25 PDFBibTeX XMLCite \textit{I. I. Gerontidis}, SIAM J. Matrix Anal. Appl. 13, No. 2, 550--566 (1992; Zbl 0748.60059) Full Text: DOI
Gerontidis, Ioannis I. On certain aspects of non-homogeneous Markov systems in continuous time. (English) Zbl 0718.60081 J. Appl. Probab. 27, No. 3, 530-544 (1990). Reviewer: V.Abel (München) MSC: 60J20 90B70 PDFBibTeX XMLCite \textit{I. I. Gerontidis}, J. Appl. Probab. 27, No. 3, 530--544 (1990; Zbl 0718.60081) Full Text: DOI
Yantsevich, A. A. Nonstationary sequences in Hilbert space. I: Correlation theory. (English. Russian original) Zbl 0714.46021 J. Sov. Math. 48, No. 4, 491-493 (1990); translation from Teor. Funkts., Funkts. Anal. Prilozh. 45, 139-141 (1986). MSC: 46C05 46C15 PDFBibTeX XMLCite \textit{A. A. Yantsevich}, J. Sov. Math. 48, No. 4, 491--493 (1990; Zbl 0714.46021); translation from Teor. Funkts., Funkts. Anal. Prilozh. 45, 139--141 (1986) Full Text: DOI
Bruss, F. Thomas; Samuels, Stephen M. Conditions for quasi-stationarity of the Bayes rule in selection problems with an unknown number of rankable options. (English) Zbl 0704.62067 Ann. Probab. 18, No. 2, 877-886 (1990). Reviewer: K.Szajowski MSC: 62L15 60G40 62C10 90C40 91A15 PDFBibTeX XMLCite \textit{F. T. Bruss} and \textit{S. M. Samuels}, Ann. Probab. 18, No. 2, 877--886 (1990; Zbl 0704.62067) Full Text: DOI
Çapar, U.; Al-Eideh, B. M. Quasi stationary distributions of Markov chains with more than one absorbing state. (English) Zbl 0701.60068 Hacettepe Bull. Nat. Sci. Eng. 18, 21-27 (1989). MSC: 60J10 PDFBibTeX XMLCite \textit{U. Çapar} and \textit{B. M. Al-Eideh}, Hacettepe Bull. Nat. Sci. Eng. 18, 21--27 (1989; Zbl 0701.60068)
Yantsevich, A. A. Non-stationary sequences in Hilbert space. I: The correlation theory. (Russian) Zbl 0612.46025 Teor. Funkts., Funkts. Anal. Prilozh. 45, 139-141 (1986). Reviewer: I.G.Zhurbenko MSC: 46C99 PDFBibTeX XMLCite \textit{A. A. Yantsevich}, Teor. Funkts. Funkts. Anal. Prilozh. 45, 139--141 (1986; Zbl 0612.46025)