×

zbMATH — the first resource for mathematics

An extreme value analysis for the investigation into the sinking of the M. V. Derbyshire. (English) Zbl 1111.62388
Summary: The paper describes our involvement in the high court reopened formal investigation into the sinking of the bulk carrier M. V. Derbyshire. The statistical problem that we addressed concerned the estimation of the probability that the ship had sunk from a particular form of structural failure, resulting from large wave impacts on the ship, for each of a range of possible sea-state and vessel conditions. We considered several statistical models for the wave impacts on the ship with the generalized Pareto distribution, motivated by extreme value theory, providing an excellent description and aiding the investigation to draw clear conclusions about the cause of the sinking.
MSC:
62P30 Applications of statistics in engineering and industry; control charts
62G32 Statistics of extreme values; tail inference
Software:
ismev
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Coles S. G., An Introduction to Statistical Modeling of Extreme Values (2001) · Zbl 0980.62043 · doi:10.1007/978-1-4471-3675-0
[2] Colman Mr Justice, Report of the Re-opened Formal Investigation into the Loss of the M. V. Derbyshire (2000)
[3] Cox D. R., Analysis of Survival Data (1984)
[4] Crowder M. J., Statistical Analysis of Reliability Data (1991) · Zbl 0825.62715 · doi:10.1007/978-1-4899-2953-2
[5] A. C. Davison, and R. L. Smith (1990 ) Models for exceedances over high thresholds (with discussion) . B, 52 , 393 -442 . · Zbl 0706.62039
[6] Department of Transport (1990 ) M.V. Derbyshire . Report of Court No. 8075, Formal Investigation . London: Her Majesty’s Stationery Office.
[7] Gaillarde G., Proc. Royal Institution of Naval Architects Conf. Design and Operation of Bulk Carriers: Post M.V. Derbyshire, London pp 21– (2001)
[8] DOI: 10.1023/A:1016544112941 · Zbl 1023.62118 · doi:10.1023/A:1016544112941
[9] Leadbetter M. R., Extremes and Related Properties of Random Sequences and Series (1983) · Zbl 0518.60021 · doi:10.1007/978-1-4612-5449-2
[10] Lindgren G., Adv. Appl. Probab. 4 pp 81– (1972)
[11] Longuet-Higgins M. S., J. Geophys. Res. 85 pp 1519– (1980)
[12] Milne S., Proc. Royal Institution of Naval Architects Conf. Design and Operation of Bulk Carriers: Post M.V. Derbyshire, London (2001)
[13] Pickands J., J. Appl. Probab. 8 pp 745– (1971)
[14] Pickands J., Ann. Statist. 3 pp 119– (1975)
[15] Smith R. L., Statist. Sci. 4 pp 367– (1989)
[16] Sole G. H., Proc. Royal Institution of Naval Architects Conf. Design and Operation of Bulk Carriers: Post M.V. Derbyshire, London pp 55– (2001)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.