The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models
Abstract
SUMMARY: A general class of non-diffusion stochastic models is introduced with a view to providing a framework for studying optimization problems arising in queueing systems, inventory theory, resource allocation and other areas. The corresponding stochastic processes are Markov processes consisting of a mixture of deterministic motion and random jumps. Stochastic calculus for these processes is developed and a complete characterization of the extended generator is given; this is the main technical result of the paper. The relevance of the extended generator concept in applied problems is discussed and some recent results on optimal control of piecewise-deterministic processes are described.
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Cites
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The Availability of a System of Two Unreliable Machines Connected by an Intermediate Storage Tank
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Cited by
Controlled Markov Processes and Viscosity Solutions
(2006) · Stochastic Modelling and Applied Probability · doi:10.1007/0-387-31071-1 · Cited by 2,684
Age of Information: An Introduction and Survey
Yates, R. D., Sun, Y., Brown, D. R., Kaul, S. K., Modiano, E., & Ulukus, S. (2021) · IEEE Journal on Selected Areas in Communications · doi:10.1109/jsac.2021.3065072 · Cited by 1,160
Models and Algorithms for Tracking of Maneuvering Objects Using Variable Rate Particle Filters
Godsill, S. J., Vermaak, J., Ng, W., & Li, J. F. (2007) · Proceedings of the IEEE · doi:10.1109/jproc.2007.894708 · Cited by 81
Metadata
- Authors
- Davis, M. H. A.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1984-07-01
- Volume
- 46
- Issue
- 3
- Pages
- 353-376
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W91439453
- Cited by
- 1,121
- References
- 10
- FWCI
- 19.81
- Type
- journal article
- Language
- en
- Open access
- closed
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- Davis, M. H. A. (1984). Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models. Journal of the Royal Statistical Society Series B: Statistical Methodology. https://doi.org/10.1111/j.2517-6161.1984.tb01308.x
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
