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2004 Journal Article The collision branching processChen, A., Pollett, P., Zhang, H. and Li, J. (2004). The collision branching process. Journal of Applied Probability, 41 (4), 1033-1048. doi: 10.1239/jap/1101840549 |
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2004 Journal Article A reduced load approximation accounting for link interactions in a loss networkThompson, M.R. and Pollett, P. K. (2004). A reduced load approximation accounting for link interactions in a loss network. Journal of Applied Mathematics and Decision Sciences, 7 (4), 229-248. doi: 10.1155/S1173912603000191 |
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2004 Journal Article Extinction times for a general birth, death and catastrophe processCairns, Ben and Pollett, P. K. (2004). Extinction times for a general birth, death and catastrophe process. Journal of Applied Probability, 41 (4), 1211-1218. doi: 10.1239/jap/1101840567 |
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2003 Journal Article A note on quasi-stationary distributions of birth-death processes and the SIS logistic epidemicClancy, D and Pollett, PK (2003). A note on quasi-stationary distributions of birth-death processes and the SIS logistic epidemic. Journal of Applied Probability, 40 (3), 821-825. doi: 10.1239/jap/1059060909 |
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2003 Journal Article A new method for analysing the equilibrium and time-dependent behaviour of Markovian modelsPollett, PK and Thompson, MR (2003). A new method for analysing the equilibrium and time-dependent behaviour of Markovian models. Mathematical And Computer Modelling, 38 (11-13), 1409-1418. doi: 10.1016/S0895-7177(03)90144-0 |
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2003 Journal Article Product form approximations for highly linear loss networks with trunk reservationBebbington, M., Pollett, P. and Ziedins, I. (2003). Product form approximations for highly linear loss networks with trunk reservation. Mathematical And Computer Modelling, 38 (11-13), 1147-1156. doi: 10.1016/S0895-7177(03)90115-4 |
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2002 Journal Article Path integrals for continuous-time Markov chainsPollett, P. K. and Stefanov, V. T. (2002). Path integrals for continuous-time Markov chains. Journal of Applied Probability, 39 (4), 901-904. doi: 10.1239/jap/1037816029 |
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2002 Journal Article Integrals for continuous-time Markov chainsPollett, P. K. (2002). Integrals for continuous-time Markov chains. Mathematical Biosciences, 182 (2), 213-225. doi: 10.1016/S0025-5564(02)00161-X |
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2002 Journal Article Two-link approximation schemes for loss networks with linear structure and trunk reservationBebbington, M., Pollett, P. and Ziedins, I. (2002). Two-link approximation schemes for loss networks with linear structure and trunk reservation. Telecommunication Systems, 19 (2), 187-207. doi: 10.1023/A:1013394009996 |
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2001 Journal Article Quasi-stationarity in populations that are subject to large-scale mortality or emigrationPollett, P. K. (2001). Quasi-stationarity in populations that are subject to large-scale mortality or emigration. Environment International, 27 (2-3), 231-236. doi: 10.1016/S0160-4120(01)00092-7 |
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2001 Journal Article Similar Markov chainsPollett, P. K. (2001). Similar Markov chains. Journal of Applied Probability, 38A (A), 53-65. doi: 10.1239/jap/1085496591 |
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2001 Journal Article Approximations for the long-term behaviour of an open-population epidemic modelClancy, D., O'Neill, P. D. and Pollett, P. K. (2001). Approximations for the long-term behaviour of an open-population epidemic model. Methodology and Computing in Applied Probability, 3 (1), 75-95. doi: 10.1023/a:1011418208496 |
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2000 Journal Article Further results on the relationship between mu-invariant measures and quasi-stationary distributions for absorbing continuous-time Markov chainsElmes, S., Pollett, P. K. and Walker, D. M. (2000). Further results on the relationship between mu-invariant measures and quasi-stationary distributions for absorbing continuous-time Markov chains. Mathematical and Computer Modelling, 31 (10-12), 107-113. doi: 10.1016/S0895-7177(00)00077-7 |
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2000 Journal Article Quasistationarity of continuous-time Markov chains with positive driftCoolen-Schrijner, P., Hart, A. and Pollett, P (2000). Quasistationarity of continuous-time Markov chains with positive drift. Journal of The Australian Mathematical Society Series B-applied Mathematics, 41 (4), 423-441. doi: 10.1017/S0334270000011735 |
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2000 Journal Article New methods for determining quasi-stationary distributions for Markov chainsHart, A. G. and Pollett, P. K. (2000). New methods for determining quasi-stationary distributions for Markov chains. Mathematical And Computer Modelling, 31 (10-12), 143-150. doi: 10.1016/S0895-7177(00)00081-9 |
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2000 Journal Article Modelling congestion in closed queueing networksPollett, P. K. (2000). Modelling congestion in closed queueing networks. International Transactions in Operational Research, 7 (4-5), 319-330. doi: 10.1111/j.1475-3995.2000.tb00202.x |
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2000 Journal Article Quasistationary distributions for level-dependent quasi-birth-and-death processesBean, N. G., Pollett, P. K. and Taylor, P. (2000). Quasistationary distributions for level-dependent quasi-birth-and-death processes. Communications in Statistics-Stochastic Models, 16 (5), 511-541. doi: 10.1080/15326340008807602 |
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2000 Journal Article Quasistationarity in continuous-time Markov chains where absorption is not certainDarlington, SJ and Pollett, PK (2000). Quasistationarity in continuous-time Markov chains where absorption is not certain. Journal of Applied Probability, 37 (2), 598-600. doi: 10.1239/jap/1014842561 |
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1999 Journal Article Quasistationary distributions for continuous time Markov chains when absorption is not certainPollett, P. K. (1999). Quasistationary distributions for continuous time Markov chains when absorption is not certain. Journal of Applied Probability, 36 (1), 268-272. doi: 10.1239/jap/1032374247 |
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1999 Journal Article Quasistationary distributions for continuous time Markov chains when absorption is not certainPollett, PK (1999). Quasistationary distributions for continuous time Markov chains when absorption is not certain. Journal of Applied Probability, 36 (1), 268-272. doi: 10.1017/S0021900200017022 |
