Joint probability analysis for estimation of extremes

References

• Biller , B. and Nelson , B. L. 2003 . Modeling and Generating Multivariate Time-Series input Processes Using a Vector Autoregressive Technique . ACM Trans. Modelling and Computer Simulation , 13 : 211 – 237 .
   Google Scholar
• Bortot , P. , Coles , S. G. and Tawn , J. A. 2000 . The Multivariate Gaussian Tail Model:AnApplication to Oceanographic Data . Applied Statistics , 49 : 31 – 49 .
   Web of Science ®Google Scholar
• Box , G. E. P. , Jenkins , G. M. and Reinsel , G. C. 1994 . Time Series Analysis: Forecasting and Control , 3rd edn. , New Jersey : Prentice Hall .
   Google Scholar
• Buishand , T. A. 1984 . Bivariate Extreme-Value Data and the Station-Year Method . J. Hydrol. , 69 : 77 – 95 .
   Web of Science ®Google Scholar
• Cai , Y. , Gouldby , B. P. , Dunning , P. and Hawkes , P. J. A Simulation Method for Flood Risk Variables . Institute of Mathematics and its Applications 2nd Conf. Flood Risk Assessment . pp. 85 – 95 . Plymouth, , UK : University of Plymouth .
   Google Scholar
• Cai , Y. , Gouldby , B. P. , Hawkes , P. J. and Dunning , P. 2008 . Statistical Simulation of Flood Variables: Incorporating Short-Term Sequencing . Journal of Flood Risk Management , Accepted for publication, manuscript ID JFRM-0009-07
   Web of Science ®Google Scholar
• CIRIA . 1996 . Beach Management Manual , Report 153 London, , UK : Construction Industry Research and Information Association .
   Google Scholar
• Coles , S. G. 2001 . An Introduction to Statistical Modeling of Extreme Values , Springer Series in Statistics London, , UK : Springer .
   Google Scholar
• Coles , S. G. , Heffernan , J. and Tawn , J. 1999 . Dependence Measures for ExtremeValue Analyses . Extremes , 2 : 339 – 365 .
   Google Scholar
• Coles , S. G. and Tawn , J. A. 1991 . Modelling Extreme Multivariate Events . J. Royal Statist. Soc. B , 53 : 377 – 392 .
   Google Scholar
• Coles , S. G. and Tawn , J. A. 1994 . Statistical Methods for Multivariate Extremes: An Application to Structural Design . Applied Statistics , 43 : 1 – 48 .
   Web of Science ®Google Scholar
• Defra . 2006 . Flood and Coastal Defence Appraisal Guidance: FCDPAG3 Economic Appraisal , Supplementary note to operating authorities — Climate change impacts October 2006 Department for Environment, Food and Rural Affairs . website page
   Google Scholar
• Defra/Environment Agency . 2003 . Extreme Water Levels in Estuaries and Rivers: The Combined Influence of Tides, River Flows and Waves , Defra/Environment Agency R&D Technical Report FD0206/TR1 also referenced as HR Wallingford Report SR 645, HRWallingford, UK
   Google Scholar
• Defra/Environment Agency . 2005a . Probability: Dependence Mapping and Best Practice. Technical Report on Dependence Mapping , Defra/Environment Agency R&D Technical Report FD2308/TR1 also referenced as HR Wallingford Report SR 623, HRWallingford, UK
   Google Scholar
• Defra/Environment Agency . 2005b . Use of Joint Probability Methods in Flood Management: A Guide to Best Practice , Defra/Environment Agency R&D Technical Report FD2308/TR2 also referenced as HR Wallingford Report SR 653, HRWallingford, UK
   Google Scholar
• Defra/Environment Agency . 2005c . Dependence Between Extreme Sea Surge, River Flow and Precipitation: A Study in South and West Britain , Defra/Environment Agency R&D Technical Report FD2308/TR3 also referenced as Svensson, C., Jones, D.A. (2005), Dependence Between Extreme Sea Surge, River Flow and Precipitation: A Study in South and West Britain, CEH Wallingford Report, CEH Wallingford, UK
   Google Scholar
• Deler , B. and Nelson , B. L. Modeling and Generating Multivariate Time Series with Arbitrary Marginals and Autocorrelation Structures . Proc. 2001 Winter Simulation Conference . pp. 275 – 282 . Piscataway, NJ : Institute of Electrical and Electronics Engineers .
   Google Scholar
• Galiatsatou , P. and Prinos , P. 2008 . Statistical Methods for Bivariate Extremal Analysis of a Spatial Process . J. Hydraul. Res. , 46 : 257 – 270 . Extra Issue 2
   Web of Science ®Google Scholar
• Garrity , N. J. , Battalio , P. E. , Hawkes , P. J. and Roupe , D. Evaluation of Event and Response Approaches to Estimate the 100-Year Coastal Flood for Pacific Coast Sheltered Waters . 30th Int. Conf. Coastal Engineering . pp. 1651 – 1663 . San Diego
   Google Scholar
• Hawkes , P. J. , Gouldby , B. P. , Tawn , J. A. and Owen , M. W. 2002 . The Joint Probability of Waves and Water Levels in Coastal Defence Design . J. Hydraul. Res. , 40 ( 3 ) : 241 – 251 .
   Web of Science ®Google Scholar
• Hawkes , P. J. , Gouldby , B. P. , Sun , W. , Tawn , J. A. , Hames , D. , Reeve , D. E. , Blackman , D. , Sproson , R. and Mavronasos , K. A Comparison of Marginal and Joint Extremes Predicted from Synthesised Wave and Water Level Data . Institute of Mathematics and Its Applications 1st Int. Conf. Flood Risk Assessment . pp. 65 – 74 . University of Bath .
   Google Scholar
• Hawkes , P. J. and Hague , R. C. 1994 . Validation of Joint Probability Methods for Large Waves and High Water Levels , HR Wallingford Report SR 347 HR Wallingford, , UK
   Google Scholar
• HR Wallingford and Lancaster University . 2000 . The Joint Probability of Waves and Water Levels: JOIN-SEA: A Rigorous but Practical New Approach , HR Wallingford Report SR 537 HR Wallingford, , UK originally dated November 1998, re-issued with minor amendments in final form in May 2000
   Google Scholar
• Mathiesen , M. , Goda , Y. , Hawkes , P. J. , Mansard , E. , Martin , M. J. , Peltier , E. , Thompson , E. F. and van Vledder , G. 1994 . Recommended Practice for Extreme Wave Analysis . J. Hydraul. Res. , 22 ( 6 ) : 803 – 814 .
   Web of Science ®Google Scholar
• Meadowcroft , I. C. , Hawkes , P. J. and Surendran , S. Joint Probability Best Practice Guide: Practical Approaches for Assessing Combined Sources of Risk for Flood and Coastal Risk Managers . Defra Flood and Coastal Management Conference . pp. 1 – 10 . University of York . 6a(2)
   Google Scholar
• Owen , M. W. , Hawkes , P. J. , Tawn , J. A. and Bortot , P. 1997 . “ The Joint Probability of Waves and Water Levels: A Rigorous but Practical New Approach ” . In MAFF (now Defra) Conf. River and Coastal Engineers , 1 – 10 . University of Keele . B(4)
   Google Scholar
• Sanchez-Arcilla , A. , Gonzalez-Marco , D. , Doorn , N. and Kortenhaus , A. 2008 . Extreme Values for Coastal, Estuarine and Riverine Environments . J. Hydraul. Res. , 46 : 183 – 190 . Extra Issue 2
   Web of Science ®Google Scholar
• Svensson , C. and Jones , D. A. 2002 . Dependence Between Extreme Sea Surge, River Flow and Precipitation in Eastern Britain . Int. J. Climatology , 22 : 1149 – 1168 .
   Web of Science ®Google Scholar
• Svensson , C. and Jones , D. A. 2004 . Dependence Between Sea Surge, River Flow and Precipitation in South and West Britain . Hydrology and Earth System Science , 8 : 973 – 992 .
   Web of Science ®Google Scholar
• van Gelder , P. H. A. J. M. , Vrijling , J. K. and van Haarden , D. H. Joint Probability Distributions for Wave Height,Wind Setup and Wind Speed . 29th Int. Conf. Coastal Engineering . pp. 1032 – 1046 . Lisbon
   Google Scholar