1999 Journal Article Quasi-stationarity of discrete-time Markov chains with drift to infinityCoolen-Schrijner, P. and Pollett, P. K. (1999). Quasi-stationarity of discrete-time Markov chains with drift to infinity. Methodology and Computing in Applied Probability, 1 (1), 81-96. doi: 10.1023/a:1010018406356 |
1999 Journal Article Modelling quasi-stationary behaviour in metapopulationsPollett, PK (1999). Modelling quasi-stationary behaviour in metapopulations. Mathematics and Computers in Simulation, 48 (4-6), 393-405. doi: 10.1016/S0378-4754(99)00019-1 |
1997 Journal Article Non-explosivity of limits of conditioned birth and death processesRoberts, GO, Jacka, SD and Pollett, PK (1997). Non-explosivity of limits of conditioned birth and death processes. Journal of Applied Probability, 34 (1), 35-45. doi: 10.2307/3215172 |
1997 Journal Article THE QUASI-STATIONARY BEHAVIOR OF QUASI-BIRTH-AND-DEATH PROCESSESBean, N. G., Bright, L., Latouche, G., Pearce, C. E. M., Pollett, P. K. and Taylor, P. G. (1997). THE QUASI-STATIONARY BEHAVIOR OF QUASI-BIRTH-AND-DEATH PROCESSES. Annals of Applied Probability, 7 (1), 134-155. doi: 10.1214/aoap/1034625256 |
1997 Journal Article Limiting conditional distributions for birth-death processesKijima, M, Nair, MG, Pollett, PK and VanDoorn, EA (1997). Limiting conditional distributions for birth-death processes. Advances In Applied Probability, 29 (1), 185-204. doi: 10.2307/1427866 |
1996 Journal Article Modelling the long-term behaviour of evanescent ecological systemsPollett, PK (1996). Modelling the long-term behaviour of evanescent ecological systems. Ecological Modelling, 86 (2-3), 135-139. doi: 10.1016/0304-3800(95)00040-2 |
1995 Journal Article The Determination of Quasi-Stationary Distributions Directly From the Transition Rates of An Absorbing Markov-ChainPollett, PK (1995). The Determination of Quasi-Stationary Distributions Directly From the Transition Rates of An Absorbing Markov-Chain. Mathematical and Computer Modelling, 22 (10-12), 279-287. doi: 10.1016/0895-7177(95)00205-G |
1994 Journal Article On the Identification of Continuous-Time Markov-Chains with a Given Invariant MeasurePollett, PK (1994). On the Identification of Continuous-Time Markov-Chains with a Given Invariant Measure. Journal of Applied Probability, 31 (4), 897-910. doi: 10.2307/3215315 |
1994 Journal Article Poisson Approximations for Telecommunications Networks (Vol 32, Pg 348, 1991)Brown, TC and Pollett, PK (1994). Poisson Approximations for Telecommunications Networks (Vol 32, Pg 348, 1991). Journal of the Australian Mathematical Society Series B-Applied Mathematics, 36 (01), 132-132. doi: 10.1017/S0334270000010298 |
1994 Journal Article An Efficient Procedure for Computing Quasi-Stationary Distributions of Markov-Chains with Sparse Transition StructurePollett, PK and Stewart, DE (1994). An Efficient Procedure for Computing Quasi-Stationary Distributions of Markov-Chains with Sparse Transition Structure. Advances in Applied Probability, 26 (1), 68-79. doi: 10.2307/1427580 |
1993 Journal Article On the Relationship Between Mu-Invariant Measures and Quasi-Stationary Distributions for Continuous-Time Markov-Chains (Vol 25, Pg 82, 1993)Nair, MG and Pollett, PK (1993). On the Relationship Between Mu-Invariant Measures and Quasi-Stationary Distributions for Continuous-Time Markov-Chains (Vol 25, Pg 82, 1993). Advances in Applied Probability, 25 (3), 717-719. |
1993 Journal Article On the Relationship Between Mu-Invariant Measures and Quasi-Stationary Distributions for Continuous-Time Markov-ChainsNair, MG and Pollett, PK (1993). On the Relationship Between Mu-Invariant Measures and Quasi-Stationary Distributions for Continuous-Time Markov-Chains. Advances in Applied Probability, 25 (1), 82-102. doi: 10.2307/1427497 |
1993 Journal Article On the problem of establishing the existence of stationary distributions for continuous-time markov chainsPollett, P. K. and Taylor, P. G. (1993). On the problem of establishing the existence of stationary distributions for continuous-time markov chains. Probability in the Engineering and Informational Sciences, 7 (4), 529-543. doi: 10.1017/S0269964800003119 |
1992 Journal Article Diffusion Approximations for Some Simple Chemical-Reaction SchemesPollett, PK and Vassallo, A (1992). Diffusion Approximations for Some Simple Chemical-Reaction Schemes. Advances in Applied Probability, 24 (4), 875-893. doi: 10.2307/1427717 |
1992 Journal Article Connecting Internally Balanced Quasi-Reversible Markov-ProcessesHenderson, W, Pearce, Cem, Pollett, PK and Taylor, PG (1992). Connecting Internally Balanced Quasi-Reversible Markov-Processes. Advances in Applied Probability, 24 (4), 934-959. doi: 10.2307/1427720 |
1992 Journal Article A NOTE ON EVANESCENT PROCESSESPollett, P. K. and Jones, D. Vere (1992). A NOTE ON EVANESCENT PROCESSES. Australian Journal of Statistics, 34 (3), 531-536. doi: 10.1111/j.1467-842X.1992.tb01067.x |
1991 Journal Article Invariant-Measures for Q-Processes When Q Is Not RegularPollett, PK (1991). Invariant-Measures for Q-Processes When Q Is Not Regular. Advances in Applied Probability, 23 (2), 277-292. doi: 10.2307/1427748 |
1991 Journal Article On the Construction Problem for Single-Exit Markov-ChainsPollett, PK (1991). On the Construction Problem for Single-Exit Markov-Chains. Bulletin of the Australian Mathematical Society, 43 (3), 439-450. |
1991 Journal Article Diffusion Approximations for a Circuit Switching Network with Random Alternative RoutingPollett, PK (1991). Diffusion Approximations for a Circuit Switching Network with Random Alternative Routing. Australian Telecommunication Research, 25 (2), 45-51. |
1991 Journal Article Poisson Approximations for Telecommunications NetworksBrown, TC and Pollett, PK (1991). Poisson Approximations for Telecommunications Networks. Journal of the Australian Mathematical Society Series B-Applied Mathematics, 32 (3), 348-364. doi: 10.1017/S0334270000006913 |