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2007

Journal Article

A remark on the uniqueness of weighted Markov branching processes

Chen, A. Y., Pollett, P. K., Li, J. P. and Zhang, H. J. (2007). A remark on the uniqueness of weighted Markov branching processes. Journal of Applied Probability, 44 (1), 279-283. doi: 10.1239/jap/1175267178

A remark on the uniqueness of weighted Markov branching processes

2007

Journal Article

Computable bounds for the decay parameter of a birth-death process

Sirl, D., Zhang, H. J. and Pollett, P. K. (2007). Computable bounds for the decay parameter of a birth-death process. Journal of Applied Probability, 44 (2), 476-491. doi: 10.1239/jap/1183667415

Computable bounds for the decay parameter of a birth-death process

2007

Conference Publication

Ensemble behaviour in population processes with applications to ecological systems

Pollett, P. K. (2007). Ensemble behaviour in population processes with applications to ecological systems. 17th Biennial Congress on Modelling and Simulation (MODSIM07), Christchurch, New Zealand, 10-13 December, 2007. Christchurch, New Zealand: Modelling and Simulation Society of Australia and New Zealand.

Ensemble behaviour in population processes with applications to ecological systems

2007

Journal Article

A note on extinction times for the general birth, death and catastrophe process

Pollett, Phil K., Zhang, Hanjun J. and Cairns, Benjamin J. (2007). A note on extinction times for the general birth, death and catastrophe process. Journal of Applied Probability, 44 (2), 566-569. doi: 10.1239/jap/1183667423

A note on extinction times for the general birth, death and catastrophe process

2006

Journal Article

On parameter estimation in population models

Ross, J. V., Taimre, T. and Pollett, P. K. (2006). On parameter estimation in population models. Theoretical Population Biology, 70 (4), 498-510. doi: 10.1016/j.tpb.2006.08.001

On parameter estimation in population models

2006

Journal Article

Extinction times for a birth-death process with two phases

Ross, JV and Pollett, PK (2006). Extinction times for a birth-death process with two phases. Mathematical Biosciences, 202 (2), 310-322. doi: 10.1016/j.mbs.2006.02.004

Extinction times for a birth-death process with two phases

2005

Conference Publication

Costs and decisions in population management: Koalas on Kangaroo Island

Pollett, P. K. and Ross, J.V. (2005). Costs and decisions in population management: Koalas on Kangaroo Island. 16th Biennial Congress on Modelling and Simulation MODSIM05, University of Melbourne, 12 - 15 December 2005. Canberra, Australia: Modelling and Simulation Society of Australia and New Zealand.

Costs and decisions in population management: Koalas on Kangaroo Island

2005

Journal Article

Uniqueness criteria for continuous-time Markov chains with general transition structures

Chen, AY, Pollett, P, Zhang, HJ and Cairns, B (2005). Uniqueness criteria for continuous-time Markov chains with general transition structures. Advances In Applied Probability, 37 (4), 1056-1074. doi: 10.1239/aap/1134587753

Uniqueness criteria for continuous-time Markov chains with general transition structures

2005

Journal Article

On the existence of uni-instantaneous Q-processes with a given finite mu-invariant measure

Gray, B, Pollett, P and Zhang, HJ (2005). On the existence of uni-instantaneous Q-processes with a given finite mu-invariant measure. Journal of Applied Probability, 42 (3), 713-725. doi: 10.1239/jap/1127322022

On the existence of uni-instantaneous Q-processes with a given finite mu-invariant measure

2005

Journal Article

Approximating persistence in a general class of population processes

Cairns, BJ and Pollett, F (2005). Approximating persistence in a general class of population processes. Theoretical Population Biology, 68 (-), 77-90. doi: 10.1016/j.tpb.2005.02.002

Approximating persistence in a general class of population processes

2004

Journal Article

Existence and uniqueness of Q-processes with a given finite μ-invariant measure

Pollett, P. and Zhang, H. J. (2004). Existence and uniqueness of Q-processes with a given finite μ-invariant measure. Australian & New Zealand Journal of Statistics, 46 (1), 113-120. doi: 10.1111/j.1467-842X.2004.00317.x

Existence and uniqueness of Q-processes with a given finite μ-invariant measure

2004

Journal Article

Foreword: Festschrift in honour of Daryl Daley

Pollett, Phil and Taylor, Peter (2004). Foreword: Festschrift in honour of Daryl Daley. Australian and New Zealand Journal of Statistics, 46 (1), 3-3. doi: 10.1111/j.1467-842X.2004.00305.x

Foreword: Festschrift in honour of Daryl Daley

2004

Journal Article

The collision branching process

Chen, 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

The collision branching process

2004

Journal Article

A reduced load approximation accounting for link interactions in a loss network

Thompson, 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

A reduced load approximation accounting for link interactions in a loss network

2004

Journal Article

Extinction times for a general birth, death and catastrophe process

Cairns, 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

Extinction times for a general birth, death and catastrophe process

2003

Conference Publication

Product Form Approximations for Highly Linear Loss Networks with Trunk Reservation

Bebbington, M., Pollett, P. and Ziedins, I. (2003). Product Form Approximations for Highly Linear Loss Networks with Trunk Reservation.

Product Form Approximations for Highly Linear Loss Networks with Trunk Reservation

2003

Conference Publication

Evaluating persistence times in populations that are subject to local catastrophes

Cairns, B. J. and Pollett, P. K. (2003). Evaluating persistence times in populations that are subject to local catastrophes. International Congress on Modelling and Simulation, Townsville, Australia, 14-17 July 2003. Townsvile, Australia: Modelling and Simulation Society of Australia and New Zealand.

Evaluating persistence times in populations that are subject to local catastrophes

2003

Journal Article

Product form approximations for highly linear loss networks with trunk reservation

Bebbington, 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

Product form approximations for highly linear loss networks with trunk reservation

2003

Journal Article

A note on quasi-stationary distributions of birth-death processes and the SIS logistic epidemic

Clancy, 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

A note on quasi-stationary distributions of birth-death processes and the SIS logistic epidemic

2003

Conference Publication

A method for evaluating the distribution of the total cost of a random process over its lifetime

Pollett, P. K. and Stefanov, V.T. (2003). A method for evaluating the distribution of the total cost of a random process over its lifetime. International Congress on Modelling and Simulation, Townsville, Australia, 14-17 July 2003. Townsville, Australia: Modelling and Simulation Society of Australia and New Zealand.

A method for evaluating the distribution of the total cost of a random process over its lifetime