Plotting positions in extreme value analysis

Journal of Applied Meteorology and Climatology

Volumn 45, Issue 2, 2006, Pages 334-340

  Makkonen, Lasse ^a  

^a VTT TECHNICAL RESEARCH CENTRE OF FINLAND   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

CLIMATE CHANGE; MATHEMATICAL MODELS; PROBABILITY; WEATHER FORECASTING;

PLOTTING POSITION; WEATHER EVENT;

CLIMATOLOGY;

MODEL; PROBABILITY; STATISTICAL ANALYSIS; WEATHER FORECASTING;

EID: 33646555790     PISSN: 15588424     EISSN: None     Source Type: Journal    
DOI: 10.1175/JAM2349.1     Document Type: Article

References (28)

1. Beard, L. R., 1943: Statistical analysis in hydrology. Trans. Amer. Soc. Civ. Eng., 108, 1110-1160.
2. Benson, M. A., 1962: Plotting positions and economics of engineering planning. Proc. Amer. Soc. Civ. Eng. Hydraul. Div., 88 (HY6), 57-71.
3. Blom, G., 1958: Statistical Estimates and Transformed Beta-Variables. John Wiley and Sons, 146 pp.
4. Brabson, B. B., and J. P. Palutikof, 2000: Tests of the generalized Pareto distribution for predicting extreme wind speeds. J. Appl. Meteor., 39, 1627-1640.
5. Castillo, E., 1988: Extreme Value Theory in Engineering. Academic Press, 389 pp.
6. Cook, N. J., 1982: Towards better estimation of extreme winds. J. Wind Eng. Ind. Aerodyn., 9, 295-323.
7. Cook, N. J., 1985: The Designer's Guide to Wind Loading on Building Structures. Part I. Background, Damage Survey, Wind Data, and Structural Classification. Butterworths, 371 pp.
8. Cook, N. J., R. I. Harris, and R. Whiting, 2003: Extreme wind speeds in mixed climates revisited. J. Wind Eng. Ind. Aerodyn., 91, 403-422.
9. Cunnane, C., 1978: Unbiased plotting positions - A review. J. Hydrol., 37, 205-222.
10. Folland, C., and C. Anderson, 2002: Estimating changing extremes using empirical ranking methods. J. Climate, 15, 2954-2960.
11. Gringorten, I. I., 1963: A plotting rule for extreme probability paper. J. Geophys. Res., 68, 813-814.
12. Gumbel, E. J., 1958: Statistics of Extremes. Columbia University Press, 375 pp.
13. Harris, R. I., 1996: Gumbel re-visited - A new look at extreme value statistics applied to wind speeds. J. Wind Eng. Ind. Aerodyn., 59, 1-22.
14. Harris, R. I., 1999: Improvements to the "method of independent storms." J. Wind Eng. Ind. Aerodyn., 80, 1-30.
15. Harris, R. I., 2000: Control curves for extreme value methods. J. Wind Eng. Ind. Aerodyn., 88, 119-131.
16. Hazen, A., 1914: Storage to be provided in impounding reservoirs for municipal water supply. Trans. Amer. Soc. Civ. Eng. Pap., 1308 (77), 1547-1550.
17. Hosking, J. R., and J. R. Wallis, 1995: A comparison of unbiased and plotting-position estimators of L moments. Water Resour. Res., 31, 2019-2025.
18. Hosking, J. R., J. R. Wallis, and E. F. Wood, 1985: Estimation of the generalized extreme-value distribution by the method of probability weighted moments. Technometrics, 27, 251-261.
19. Jordaan, I., 2005: Decisions under Uncertainty. Cambridge University Press, 672 pp.
20. Kharin, V. V., and F. W. Zwiers, 2005: Estimating extremes in transient climate change simulations. J. Climate, 118, 1156-1173.
21. Kimball, B. F., 1960: On the choice of plotting positions on probability paper. J. Amer. Stat. Assoc., 55, 546-560.
22. Langbein, W. B., 1960: Plotting positions in frequency analysis. U.S. Geol. Surv. Water Supply Pap., 1543-A, 48-51.
23. Linacre, E., 1992: Climate Data and Resources. Routledge Press, 366 pp.
24. Meehl, G. A., F. W. Zwiers, J. Evans, T. Knutson, L. Mearns, and P. Whetton, 2000: Trends in extreme weather and climate events: Issues related to modeling extremes in projection of future climate change. Bull. Amer. Meteor. Soc., 81, 427-436.
25. Pickands, J., 1975: Statistical interference using extreme order statistics. Ann. Stat., 3, 119-130.
26. Weibull, W., 1939: A statistical theory of strength of materials. Ing. Vetensk. Akad. Handl., 151, 1-45.
27. Yu, G. H., and C. C. Huang, 2001: A distribution free plotting position. Stoch. Environ. Res. Risk Assess., 15, 462-476.
28. Zhang, X., F. W. Zwiers, and G. Li, 2004: Monte Carlo experiments on the detection of trends in extreme values. J. Climate, 17, 1945-1952.