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Exact Monte Carlo likelihood-based inference for jump-diffusion processes

delete2023-04-04
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OA
AI
F
Flávio B. Gonçalves *
K
Krzysztof Łatuszyński
G
Gareth O. Roberts
DOI:10.1093/jrsssb/qkad022delete
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摘要

摘要

En 中文
Statistical inference for discretely observed jump-diffusion processes is a complex problem which motivates new methodological challenges. Thus, existing approaches invariably resort to time-discretisations which inevitably lead to approximations in inference. In this paper, we give the first general collection of methodologies for exact (in this context meaning discretisation-free) likelihood-based inference for discretely observed finite activity jump-diffusions. The only sources of error involved are Monte Carlo error and convergence of expectation maximisation (EM) or Markov chain Monte Carlo (MCMC) algorithms. We shall introduce both frequentist and Bayesian approaches, illustrating the methodology through simulated and real examples.
Keyword:
Barker's algorithm
MCEM
MCMC
Poisson estimator
retrospective sampling

期刊

J
Journal of the Royal Statistical Society Series B-Statistical Methodology
IF:
3.6
论文数:
1.5K
被引数:
3.2W

机构

U
Universidade Federal de Minas Gerais
学者数:
2.5W
论文数: 1.5W
被引数: 1.4W
U
University of Warwick
学者数:
2.2W
论文数: 2.2W
被引数: 85
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