H. Alkhezi. (2019) Bayesian inference for animal movement in continuous time. PhD thesis. University of Sheffield.
P.G. Blackwell, (1997) ‘Random diffusion models for animal movement’. Ecological Modelling, 100, pp. 184-195.
P.G. Blackwell (2003). ‘Bayesian inference for Markov processes with diffusion and discrete components’. Biometrika, 90(3), pp. 613-627.
P.G. Blackwell. (2020) ‘Integrated Continuous-time hidden Markov models’. arXiv preprint.
P.G. Blackwell, M. Niu, M. Lambert, & S. LaPoint[1] . (2015) ‘Exact Bayesian inference for animal movement in continuous time’. Methods in Ecology and Evolution, 7, pp. 184-195.
D. Grainger & P.G. Blackwell. (2024) ‘Rapid Statistical Modelling of Individual Animal Movement Data in Continuous Time’. [Manuscript in preparation].
D. Hainaut & F. Moraux. (2019) ‘A switching self-exciting jump diffusion process for stock prices’. Ann Finance, 15, pp. 267-306.
A. Hobolth & E. Stone. (2009) ‘Simulation from endpoint-conditioned, continuous-time Markov chains on a finite state space, with applications to molecular evolution’. Annals of Applied Statistics. 3(3), pp. 1204-1231.
D.S. Johnson, J.M. London, M.A. Lea, & J.W. Durban. (2008) ‘Continuous-Time Correlated Random Walk Model for Animal Telemetry Data’. Ecology, 89, pp. 1208-1215.
B.T. McClintock & T. Michelot. (2018) ‘momentuHMM: R package for generalized hidden Markov models of animal movement’. Methods in Ecology and Evolution, 9(6), pp. 1518-1530.
T Michelot & P.G. Blackwell. (2019) ‘State-switching continuous-time correlated random walks’. Methods in Ecology and Evolution, 10, pp. 637-649.
T. Michelot, R. Langrock, & T.A. Patterson. (2016) ‘moveHMM : an R package for the statistical modelling of animal movement data using hidden Markov models’. Methods in Ecology and Evolution, 7(11), pp. 1308-1315.
D. Smith. (2002) ‘Markov-Switching and Stochastic Volatility Diffusion Models of Short-Term Interest Rates’. Journal of Business and Economic Statistics, 20(2), pp. 183-197.
X. Zhang & T. Zhang. (2022) ‘Barrier option pricing under a Markov Regime switching diffusion model’. The Quarterly Review of Economics and Finance, 86, pp. 273-280.
J. Zhu & H. Yang. (2016) ‘Optimal financing and dividend distribution in a general diffusion model with regime switching’. Advances in Applied Probability, 48(2), pp. 406-422.
Please feel free to contact me at dpdgrainger1[at]sheffield.ac.uk