| EPSRC Reference: |
GR/R99577/01 |
| Title: |
Applications of Saddlepoint/Laplace techniques in Ion Channel Models and Shape Analysis |
| Principal Investigator: |
Wood, Professor A |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Department: |
Sch of Mathematical Sciences |
| Organisation: |
University of Nottingham |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 July 2002 |
Ends: |
30 September 2002 |
Value (£): |
7,720
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| EPSRC Research Topic Classifications: |
| Statistics & Appl. Probability |
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| EPSRC Industrial Sector Classifications: |
| Communications |
Healthcare |
| Pharmaceuticals and Biotechnology |
No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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In the last 25 years there has been substantial interest and success in the development of saddlepoint/Laplace type approximations in statistics. Notable features of these approximations are (i) in a wide variety of cases, approximations of this type control the theoretical relative error rather effectively; and (ii) in most known cases they produce very accurate approximations in practice. This proposal is concerned with the development of saddlepoint/Laplace approximations in two distinct areas: ion channel models (project A) and shape analysis (project B). In project A the focus will on semi-Markov ion channel models, and both idealised and current-based approaches to time interval omission with be considered. In project B, the Goodall-Mardia model for landmark-based shape data in 3 dimensions will be studied. In both of these areas, challenging computational problems are faced. Saddlepoint/Laplace approximations provide promising approaches in both cases which to date have not been exploited. The aim in both projects is to develop viable methods of computation and inference based on saddlepoint/Laplace approximations.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.nottingham.ac.uk |