Plotting positions for fitting distributions and extreme value analysis

Canadian Journal of Civil Engineering

Volumn 40, Issue 2, 2013, Pages 130-139

  Fuglem, M ^a   Parr, G ^a   Jordaan, I J ^b  

^a C CORE   (Canada)

^b Ian Jordaan and Associates   (Canada)

Author keywords

Design value; Extreme value; Plotting position; Probability distribution

Indexed keywords

DESIGN VALUE; DISTRIBUTION PARAMETERS; EXTREME VALUE; EXTREME-VALUE ANALYSIS; PLOTTING POSITION; PROBABILITY PAPER; RANDOM DATA; SIMULATION TECHNIQUE;

PRODUCT DESIGN; VALUE ENGINEERING;

PROBABILITY DISTRIBUTIONS;

ACCURACY ASSESSMENT; DATA PROCESSING; POSITIONING; PROBABILITY; SIMULATION;

EID: 84874915055     PISSN: 03151468     EISSN: 12086029     Source Type: Journal    
DOI: 10.1139/cjce-2012-0427     Document Type: Article

References (19)

1. Bierbooms, W. 2010. The determination of the extreme loads on wind turbines - some practical issues, TORQUE 2010: The Science of Making Torque from Wind. 28-30 June. Crete, Greece. pp. 569-577.
2. Blom, G. 1958. Statistical estimates and transformed beta variables. John Wiley and Sons, New York.
3. Castillo, E. 1988. Extreme value theory in engineering. Academic Press, Inc. New York.
4. Cook, N. 2011. Comments on "Plotting positions in extreme value analysis." Journal of Applied Meteorology and Climatology, 50: 255-266. doi:10.1175/2010JAMC2316.1.
5. Cook, N. 2012. Rebuttal of "Problems in the extreme value analysis." Structural Safety, 34(1): 418-423. doi:10.1016/j.strusafe.2011.08.002.
6. Cunnane, C. 1978. Unbiased plotting-positions - A review. Journal of Hydrology, 37: 205-222. doi:10.1016/0022-1694(78)90017-3.
7. de Haan, L. 2006. Comments on "Plotting positions in extreme value analysis." Journal of Applied Meteorology and Climatology, 46(3): 396-396. doi:10.1175/JAM2471.1.
8. Gringorten, I.I. 1963. A plotting rule for extreme probability paper. Journal of Geophysical Research, 68: 813-814. doi:10.1029/JZ068i003p00813.
9. Gumbel, E. 1947 Discussion on paper by B.F. Kimball. 1946. Transactions of the American Geophysical Union, 28(6): 951-952.
10. Gumbel, E. 1958. Statistics of extremes. Columbia University Press, New York. p. 375.
11. Harter, H.L. 1961. Expected values of normal ordered statistics. Biometrika, 48: 151-165. doi:10.1093/biomet/48.1-2.151.
12. Hazen, A. 1914. Storage to be provided in impounding reservoirs for municipal water supply. Transactions of the American. Society of Civil Engineers. Paper 1308, 77: 1547-1550.
13. Jordaan, I.J. 2005. Decisions under uncertainty: probabilistic analysis for engineering decisions. Cambridge University Press, New York.
14. Kärnä, T. 2006. An extreme value analysis of local ice pressures. Proceedings of the International Conference Exhibition on Performance of Ships and Structures in Ice. ICETECH-06. 16-19 July.
15. Maes, M.A. 1985. Extremal Analysis of Environmental Loads on Engineering Structures. Ph.D. Thesis. University of Calgary. p. 562.
16. Makkonen, L. 2006. Plotting positions in extreme value analysis. Journal of Applied Meteorology and Climatology, 45: 334-340. doi:10.1175/JAM2349.1.
17. Makkonen, L. 2008. Extreme value analysis and order statistics - bringing closure to the plotting position controversy. Communications in Statistics - Theory and Methods, 37(3): 460-467. doi:10.1080/03610920701653094.
18. Water Survey of Canada. 2012. Peak Discharges for Junction Brook near Badger (02YO010), http://www.wsc.ec.gc.ca/applications/H2O/report-eng.cfm?yearb=&yeare=&station=02YO010&report=peak&year=1997, Online data accessed 24 September 2012.
19. Weibull, W. 1939. A statistical theory of strength of materials. Proceedings of the Royal Swedish Institute for Engineering Researc h 151. p. 45.