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2013

Journal Article

The deterministic limit of a stochastic logistic model with individual variation

McVinish, R. and Pollett, P. K. (2013). The deterministic limit of a stochastic logistic model with individual variation. Mathematical Biosciences, 241 (1), 109-114. doi: 10.1016/j.mbs.2012.10.001

The deterministic limit of a stochastic logistic model with individual variation

2012

Journal Article

Total variation approximation for quasi-equilibrium distributions, II

Barbour, A. D. and Pollett, P. K. (2012). Total variation approximation for quasi-equilibrium distributions, II. Stochastic Processes and Their Applications, 122 (11), 3740-3756. doi: 10.1016/j.spa.2012.07.004

Total variation approximation for quasi-equilibrium distributions, II

2012

Journal Article

Chain binomial models and binomial autoregressive processes

Weiss, Christian H. and Pollett, Philip K. (2012). Chain binomial models and binomial autoregressive processes. Biometrics, 68 (3), 815-824. doi: 10.1111/j.1541-0420.2011.01716.x

Chain binomial models and binomial autoregressive processes

2012

Journal Article

A central limit theorem for a discrete-time SIS model with individual variation

McVinish, R. and Pollett, P.K. (2012). A central limit theorem for a discrete-time SIS model with individual variation. Journal of Applied Probability, 49 (2), 521-530. doi: 10.1239/jap/1339878802

A central limit theorem for a discrete-time SIS model with individual variation

2012

Journal Article

The limiting behaviour of a mainland-island metapopulation

McVinish, R. and Pollett, P. K. (2012). The limiting behaviour of a mainland-island metapopulation. Journal of Mathematical Biology, 64 (5), 775-801. doi: 10.1007/s00285-011-0429-1

The limiting behaviour of a mainland-island metapopulation

2012

Journal Article

Hodges-Lehmann scale estimator for Cauchy distribution

Kravchuk, O.Y. and Pollett, P.K. (2012). Hodges-Lehmann scale estimator for Cauchy distribution. Communications in Statistics-Theory and Methods, 41 (20), 3621-3632. doi: 10.1080/03610926.2011.563016

Hodges-Lehmann scale estimator for Cauchy distribution

2010

Journal Article

Limits of large metapopulations with patch-dependent extinction probabilities

McVinish, R. and Pollett, P. K. (2010). Limits of large metapopulations with patch-dependent extinction probabilities. Advances in Applied Probability, 42 (4), 1172-1186. doi: 10.1239/aap/1293113156

Limits of large metapopulations with patch-dependent extinction probabilities

2010

Journal Article

Total variation approximation for quasi-stationary distributions

Barbour, A. D. and Pollett, P. K. (2010). Total variation approximation for quasi-stationary distributions. Journal of Applied Probability, 47 (4), 934-946. doi: 10.1239/jap/1294170510

Total variation approximation for quasi-stationary distributions

2010

Journal Article

Locally optimal designs for the simple death process

Pagendam, D. E. and Pollett, P. K. (2010). Locally optimal designs for the simple death process. Journal of Statistical Planning and Inference, 140 (11), 3096-3105. doi: 10.1016/j.jspi.2010.04.017

Locally optimal designs for the simple death process

2010

Journal Article

Analytical methods for a stochastic mainland-island metapopulation model

Buckley, F. M. and Pollett, P. K. (2010). Analytical methods for a stochastic mainland-island metapopulation model. Ecological Modelling, 221 (21), 2526-2530. doi: 10.1016/j.ecolmodel.2010.02.017

Analytical methods for a stochastic mainland-island metapopulation model

2010

Journal Article

Preface to the selected papers on modelling and control of metapopulation networks

Buckley, F. M., Nicol, S. and Pollett, P. K. (2010). Preface to the selected papers on modelling and control of metapopulation networks. Ecological Modelling, 221 (21), 2512-2514. doi: 10.1016/j.ecolmodel.2010.05.017

Preface to the selected papers on modelling and control of metapopulation networks

2010

Journal Article

Simple rules for ranking and optimally managing metapopulations

Ross, J. V. and Pollett, P. K. (2010). Simple rules for ranking and optimally managing metapopulations. Ecological Modelling, 221 (21), 2515-2520. doi: 10.1016/j.ecolmodel.2010.02.016

Simple rules for ranking and optimally managing metapopulations

2010

Journal Article

Robust optimal observation of a metapopulation

Pagendam, D. E. and Pollett, P. K. (2010). Robust optimal observation of a metapopulation. Ecological Modelling, 221 (21), 2521-2525. doi: 10.1016/j.ecolmodel.2010.02.018

Robust optimal observation of a metapopulation

2010

Journal Article

Uniqueness, extinction and explosivity of generalised Markov branching processes with pairwise interaction

Chen, AY, Pollett, P, Li, JP and Zhang, HJ (2010). Uniqueness, extinction and explosivity of generalised Markov branching processes with pairwise interaction. Methodology And Computing In Applied Probability, 12 (3), 511-531. doi: 10.1007/s11009-009-9121-y

Uniqueness, extinction and explosivity of generalised Markov branching processes with pairwise interaction

2010

Journal Article

Markovian bulk-arrival and bulk-service queues with state-dependent control

Chen, Anyue, Pollett, Phil, Li, Junping and Zhang, Hanjun (2010). Markovian bulk-arrival and bulk-service queues with state-dependent control. Queueing Systems, 64 (3), 267-304. doi: 10.1007/s11134-009-9162-5

Markovian bulk-arrival and bulk-service queues with state-dependent control

2010

Journal Article

Modelling population processes with random initial conditions

Pollett, P. K., Dooley, A. H. and Ross, J. V. (2010). Modelling population processes with random initial conditions. Mathematical Biosciences, 223 (2), 142-150. doi: 10.1016/j.mbs.2009.11.008

Modelling population processes with random initial conditions

2010

Journal Article

Limit theorems for discrete-time metapopulation models

Buckley, Fionnuala M. and Pollett, Philip K. (2010). Limit theorems for discrete-time metapopulation models. Probability Surveys, 7 (1), 53-83. doi: 10.1214/10-PS158

Limit theorems for discrete-time metapopulation models

2009

Journal Article

Optimal sampling and problematic likelihood functions in a simple population model

Pagendam, D. E. and Pollett, P. K. (2009). Optimal sampling and problematic likelihood functions in a simple population model. Environmental Modeling and Assessment, 14 (6), 759-767. doi: 10.1007/s10666-008-9159-1

Optimal sampling and problematic likelihood functions in a simple population model

2009

Journal Article

Ensemble behaviour in population processes with applications to ecological systems

Pollett, P. K. (2009). Ensemble behaviour in population processes with applications to ecological systems. Environmental Modeling and Assessment, 14 (5), 545-553. doi: 10.1007/s10666-008-9165-3

Ensemble behaviour in population processes with applications to ecological systems

2009

Journal Article

Quasi-Stationary Distributions for Reducible Absorbing Markov Chains in Discrete Time

van Doorn, E. A. and Pollett, P. K. (2009). Quasi-Stationary Distributions for Reducible Absorbing Markov Chains in Discrete Time. Markov Processes and Related Fields, 15 (2), 191-204.

Quasi-Stationary Distributions for Reducible Absorbing Markov Chains in Discrete Time