Pollett, Phil Quasi-stationary distributions for queueing and other models. (English) Zbl 1491.90062 Queueing Syst. 100, No. 3-4, 241-243 (2022). MSC: 90B22 60J80 PDFBibTeX XMLCite \textit{P. Pollett}, Queueing Syst. 100, No. 3--4, 241--243 (2022; Zbl 1491.90062) Full Text: DOI arXiv
McVinish, R.; Pollett, P. K.; Chan, Y. S. A metapopulation model with Markovian landscape dynamics. (English) Zbl 1367.92104 Theor. Popul. Biol. 112, 80-96 (2016). MSC: 92D25 60J20 PDFBibTeX XMLCite \textit{R. McVinish} et al., Theor. Popul. Biol. 112, 80--96 (2016; Zbl 1367.92104) Full Text: DOI arXiv
McVinish, R.; Pollett, P. K. The limiting behaviour of Hanski’s incidence function metapopulation model. (English) Zbl 1291.92109 J. Appl. Probab. 51, No. 2, 297-316 (2014). MSC: 92D40 60J10 60J20 60F05 PDFBibTeX XMLCite \textit{R. McVinish} and \textit{P. K. Pollett}, J. Appl. Probab. 51, No. 2, 297--316 (2014; Zbl 1291.92109) Full Text: DOI
Smith, Andrew G.; McVinish, Ross; Pollett, Philip K. A model for a spatially structured metapopulation accounting for within patch dynamics. (English) Zbl 1283.92063 Math. Biosci. 247, 69-79 (2014). MSC: 92D25 92D40 60J85 60F17 PDFBibTeX XMLCite \textit{A. G. Smith} et al., Math. Biosci. 247, 69--79 (2014; Zbl 1283.92063) Full Text: DOI Link
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
McVinish, R.; Pollett, P. K. The limiting behaviour of a stochastic patch occupancy model. (English) Zbl 1272.92053 J. Math. Biol. 67, No. 3, 693-716 (2013). MSC: 92D40 60J20 60F05 PDFBibTeX XMLCite \textit{R. McVinish} and \textit{P. K. Pollett}, J. Math. Biol. 67, No. 3, 693--716 (2013; Zbl 1272.92053) Full Text: DOI
Weiß, Christian H.; Pollett, Philip K. Chain binomial models and binomial autoregressive processes. (English) Zbl 1272.62099 Biometrics 68, No. 3, 815-824 (2012). MSC: 62P10 PDFBibTeX XMLCite \textit{C. H. Weiß} and \textit{P. K. Pollett}, Biometrics 68, No. 3, 815--824 (2012; Zbl 1272.62099) Full Text: DOI
McVinish, R.; Pollett, P. K. The limiting behaviour of a mainland-island metapopulation. (English) Zbl 1252.92056 J. Math. Biol. 64, No. 5, 775-801 (2012). MSC: 92D40 60J20 60F05 PDFBibTeX XMLCite \textit{R. McVinish} and \textit{P. K. Pollett}, J. Math. Biol. 64, No. 5, 775--801 (2012; Zbl 1252.92056) Full Text: DOI
Barbour, A. D.; Pollett, P. K. Total variation approximation for quasi-equilibrium distributions. II. (English) Zbl 1251.60060 Stochastic Processes Appl. 122, No. 11, 3740-3756 (2012). MSC: 60J28 92D25 92D30 PDFBibTeX XMLCite \textit{A. D. Barbour} and \textit{P. K. Pollett}, Stochastic Processes Appl. 122, No. 11, 3740--3756 (2012; Zbl 1251.60060) Full Text: DOI arXiv
McVinish, Ross S.; Pollett, Philip K. A central limit theorem for a discrete-time SIS model with individual variation. (English) Zbl 1275.92092 J. Appl. Probab. 49, No. 2, 521-530 (2012). Reviewer: Josef Steinebach (Köln) MSC: 92D30 60F05 60J20 PDFBibTeX XMLCite \textit{R. S. McVinish} and \textit{P. K. Pollett}, J. Appl. Probab. 49, No. 2, 521--530 (2012; Zbl 1275.92092) Full Text: DOI Euclid
McVinish, R.; Pollett, P. K. Limits of large metapopulations with patch-dependent extinction probabilities. (English) Zbl 1211.92062 Adv. Appl. Probab. 42, No. 4, 1172-1186 (2010). Reviewer: Alexander I. Zejfman (Vologda) MSC: 92D40 60G55 60F05 60J20 PDFBibTeX XMLCite \textit{R. McVinish} and \textit{P. K. Pollett}, Adv. Appl. Probab. 42, No. 4, 1172--1186 (2010; Zbl 1211.92062) Full Text: DOI
Barbour, A. D.; Pollett, P. K. Total variation approximation for quasi-stationary distributions. (English) Zbl 1213.60126 J. Appl. Probab. 47, No. 4, 934-946 (2010). MSC: 60J28 92D25 92D30 PDFBibTeX XMLCite \textit{A. D. Barbour} and \textit{P. K. Pollett}, J. Appl. Probab. 47, No. 4, 934--946 (2010; Zbl 1213.60126) Full Text: DOI arXiv
Pagendam, D. E.; Pollett, P. K. Locally optimal designs for the simple death process. (English) Zbl 1205.62107 J. Stat. Plann. Inference 140, No. 11, 3096-3105 (2010). MSC: 62K05 60J80 PDFBibTeX XMLCite \textit{D. E. Pagendam} and \textit{P. K. Pollett}, J. Stat. Plann. Inference 140, No. 11, 3096--3105 (2010; Zbl 1205.62107) Full Text: DOI
Pollett, P. K.; Dooley, A. H.; Ross, J. V. Modelling population processes with random initial conditions. (English) Zbl 1183.92066 Math. Biosci. 223, No. 2, 142-150 (2010). MSC: 92D25 92D30 60G99 60F17 PDFBibTeX XMLCite \textit{P. K. Pollett} et al., Math. Biosci. 223, No. 2, 142--150 (2010; Zbl 1183.92066) Full Text: DOI
Chen, Anyue; Pollett, Phil; Li, Junping; Zhang, Hanjun Markovian bulk-arrival and bulk-service queues with state-dependent control. (English) Zbl 1186.60094 Queueing Syst. 64, No. 3, 267-304 (2010). MSC: 60K25 60J27 60J80 90B22 PDFBibTeX XMLCite \textit{A. Chen} et al., Queueing Syst. 64, No. 3, 267--304 (2010; Zbl 1186.60094) Full Text: DOI
Pollett, Phil; Zhang, Hanjun; Cairns, Benjamin J. A note on extinction times for the general birth, death and catastrophe process. (English) Zbl 1154.60064 J. Appl. Probab. 44, No. 2, 566-569 (2007). Reviewer: Victor V. Goryainov (Volzhsky) MSC: 60J27 60J35 60J80 PDFBibTeX XMLCite \textit{P. Pollett} et al., J. Appl. Probab. 44, No. 2, 566--569 (2007; Zbl 1154.60064) Full Text: DOI
Sirl, David; Zhang, Hanjun; Pollett, Phil Computable bounds for the decay parameter of a birth-death process. (English) Zbl 1203.60132 J. Appl. Probab. 44, No. 2, 476-491 (2007). MSC: 60J80 60J27 65C20 PDFBibTeX XMLCite \textit{D. Sirl} et al., J. Appl. Probab. 44, No. 2, 476--491 (2007; Zbl 1203.60132) Full Text: DOI
Sani, A.; Kroese, D. P.; Pollett, P. K. Stochastic models for the spread of HIV in a mobile heterosexual population. (English) Zbl 1116.92058 Math. Biosci. 208, No. 1, 98-124 (2007). MSC: 92D30 60J25 60J70 60J20 PDFBibTeX XMLCite \textit{A. Sani} et al., Math. Biosci. 208, No. 1, 98--124 (2007; Zbl 1116.92058) Full Text: DOI
Ross, J. V.; Taimre, T.; Pollett, P. K. Estimation for queues from queue length data. (English) Zbl 1178.90102 Queueing Syst. 55, No. 2, 131-138 (2007). MSC: 90B22 60K25 62F10 62F05 PDFBibTeX XMLCite \textit{J. V. Ross} et al., Queueing Syst. 55, No. 2, 131--138 (2007; Zbl 1178.90102) Full Text: DOI
Ross, J. V.; Taimre, T.; Pollett, P. K. On parameter estimation in population models. (English) Zbl 1118.92052 Theor. Popul. Biol. 70, No. 4, 498-510 (2006). MSC: 92D25 60J20 62P10 60J27 PDFBibTeX XMLCite \textit{J. V. Ross} et al., Theor. Popul. Biol. 70, No. 4, 498--510 (2006; Zbl 1118.92052) Full Text: DOI
Ross, J. V.; Pollett, P. K. Extinction times for a birth–death process with two phases. (English) Zbl 1097.92065 Math. Biosci. 202, No. 2, 310-322 (2006). MSC: 92D40 60J85 93E99 60J80 PDFBibTeX XMLCite \textit{J. V. Ross} and \textit{P. K. Pollett}, Math. Biosci. 202, No. 2, 310--322 (2006; Zbl 1097.92065) Full Text: DOI
Chen, Anyue; Pollett, Phil; Zhang, Hanjun; Cairns, Ben Uniqueness criteria for continuous-time Markov chains with general transition structures. (English) Zbl 1101.60055 Adv. Appl. Probab. 37, No. 4, 1056-1074 (2005). Reviewer: Roman Urban (Wrocław) MSC: 60J27 60J35 PDFBibTeX XMLCite \textit{A. Chen} et al., Adv. Appl. Probab. 37, No. 4, 1056--1074 (2005; Zbl 1101.60055) Full Text: DOI
Cairns, B. J.; Pollett, P. K. Approximating persistence in a general class of population processes. (English) Zbl 1085.92033 Theor. Popul. Biol. 68, No. 2, 77-90 (2005). MSC: 92D25 60J85 PDFBibTeX XMLCite \textit{B. J. Cairns} and \textit{P. K. Pollett}, Theor. Popul. Biol. 68, No. 2, 77--90 (2005; Zbl 1085.92033) Full Text: DOI
Gray, Brenton; Pollett, Phil; Zhang, Hanjun On the existence of uni-instantaneous \(Q\)-processes with a given finite \(\mu\)-invariant measure. (English) Zbl 1084.60046 J. Appl. Probab. 42, No. 3, 713-725 (2005). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60J27 60J35 PDFBibTeX XMLCite \textit{B. Gray} et al., J. Appl. Probab. 42, No. 3, 713--725 (2005; Zbl 1084.60046) Full Text: DOI
Cairns, Ben; Pollett, P. K. Extinction times for a general birth, death and catastrophe process. (English) Zbl 1063.60106 J. Appl. Probab. 41, No. 4, 1211-1218 (2004). Reviewer: Aleksander Iksanov (Kiev) MSC: 60J27 92B05 60J80 PDFBibTeX XMLCite \textit{B. Cairns} and \textit{P. K. Pollett}, J. Appl. Probab. 41, No. 4, 1211--1218 (2004; Zbl 1063.60106) Full Text: DOI Link
Pollett, P. K.; Thompson, M. R. A new method for analysing the equilibrium and time-dependent behaviour of Markovian models. (English) Zbl 1045.60079 Math. Comput. Modelling 38, No. 11-12, 1409-1418 (2003). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60J27 60K35 60K20 PDFBibTeX XMLCite \textit{P. K. Pollett} and \textit{M. R. Thompson}, Math. Comput. Modelling 38, No. 11--12, 1409--1418 (2003; Zbl 1045.60079) Full Text: DOI
Bebbington, M.; Pollett, P.; Ziedins, I. Product form approximations for highly linear loss networks with trunk reservation. (English) Zbl 1055.90011 Math. Comput. Modelling 38, No. 11-12, 1147-1156 (2003). MSC: 90B15 60K15 60K20 PDFBibTeX XMLCite \textit{M. Bebbington} et al., Math. Comput. Modelling 38, No. 11--12, 1147--1156 (2003; Zbl 1055.90011) Full Text: DOI
Clancy, Damian; Pollett, Philip K. A note on quasi-stationary distributions of birth-death processes and the SIS logistic epidemic. (English) Zbl 1050.60076 J. Appl. Probab. 40, No. 3, 821-825 (2003). Reviewer: Annette Kopp-Schneider (Heidelberg) MSC: 60J27 60J80 PDFBibTeX XMLCite \textit{D. Clancy} and \textit{P. K. Pollett}, J. Appl. Probab. 40, No. 3, 821--825 (2003; Zbl 1050.60076) Full Text: DOI Link
Pollett, P. K. Integrals for continuous-time Markov chains. (English) Zbl 1039.60068 Math. Biosci. 182, No. 2, 213-225 (2003). Reviewer: D. R. Grey (Sheffield) MSC: 60J27 PDFBibTeX XMLCite \textit{P. K. Pollett}, Math. Biosci. 182, No. 2, 213--225 (2003; Zbl 1039.60068) Full Text: DOI
Hart, A. G.; Pollett, P. K. New methods for determining quasi-stationary distributions for Markov chains. (English) Zbl 1042.60522 Math. Comput. Modelling 31, No. 10-12, 143-150 (2000). MSC: 60J10 PDFBibTeX XMLCite \textit{A. G. Hart} and \textit{P. K. Pollett}, Math. Comput. Modelling 31, No. 10--12, 143--150 (2000; Zbl 1042.60522) Full Text: DOI
Elmes, S.; Pollett, P.; Walker, D. Further results on the relationship between \(\mu\)-invariant measures and quasi-stationary distributions for absorbing continuous-time Markov chains. (English) Zbl 1042.60521 Math. Comput. Modelling 31, No. 10-12, 107-113 (2000). MSC: 60J10 PDFBibTeX XMLCite \textit{S. Elmes} et al., Math. Comput. Modelling 31, No. 10--12, 107--113 (2000; Zbl 1042.60521) Full Text: DOI
Pollett, P. K. Modelling quasi-stationary behaviour in metapopulations. (English) Zbl 0942.92023 Math. Comput. Simul. 48, No. 4-6, 393-405 (1999). MSC: 92D25 92D40 60J20 PDFBibTeX XMLCite \textit{P. K. Pollett}, Math. Comput. Simul. 48, No. 4--6, 393--405 (1999; Zbl 0942.92023) Full Text: DOI
Pollett, P. K. The determination of quasistationary distributions directly from the transition rates of an absorbing Markov chain. (English) Zbl 0835.60060 Math. Comput. Modelling 22, No. 10-12, 279-287 (1995). MSC: 60J10 PDFBibTeX XMLCite \textit{P. K. Pollett}, Math. Comput. Modelling 22, No. 10--12, 279--287 (1995; Zbl 0835.60060) Full Text: DOI
Pollett, P. K. On the construction problem for single-exit Markov chains. (English) Zbl 0719.60073 Bull. Aust. Math. Soc. 43, No. 3, 439-450 (1991). MSC: 60J27 60J35 PDFBibTeX XMLCite \textit{P. K. Pollett}, Bull. Aust. Math. Soc. 43, No. 3, 439--450 (1991; Zbl 0719.60073) Full Text: DOI
Pakes, Anthony G.; Pollett, P. K. The supercritical birth, death and catastrophe process: Limit theorems on the set of extinction. (English) Zbl 0726.60084 Stochastic Processes Appl. 32, No. 1, 161-170 (1989). MSC: 60J80 PDFBibTeX XMLCite \textit{A. G. Pakes} and \textit{P. K. Pollett}, Stochastic Processes Appl. 32, No. 1, 161--170 (1989; Zbl 0726.60084) Full Text: DOI
Pollett, P. K. The generalized Kolmogorov criterion. (English) Zbl 0693.60061 Stochastic Processes Appl. 33, No. 1, 29-44 (1989). Reviewer: Eugene Seneta (Sydney) MSC: 60J27 60J80 PDFBibTeX XMLCite \textit{P. K. Pollett}, Stochastic Processes Appl. 33, No. 1, 29--44 (1989; Zbl 0693.60061) Full Text: DOI
Pollett, P. K. On the equivalence of \(\mu\)-invariant measures for the minimal process and its q-matrix. (English) Zbl 0658.60099 Stochastic Processes Appl. 22, 203-221 (1986). MSC: 60J27 60K20 PDFBibTeX XMLCite \textit{P. K. Pollett}, Stochastic Processes Appl. 22, 203--221 (1986; Zbl 0658.60099) Full Text: DOI
Pollett, P. K. Some Poisson approximations for departure processes in general queueing networks. (English) Zbl 0605.60083 Statistics 17, 393-405 (1986). Reviewer: H.Daduna MSC: 60K25 68M20 90B22 PDFBibTeX XMLCite \textit{P. K. Pollett}, Statistics 17, 393--405 (1986; Zbl 0605.60083) Full Text: DOI