An alternative form for the statistical distribution of extreme avalanche runout distances

Cold Regions Science and Technology

Volumn 42, Issue 3, 2005, Pages 185-193

  Keylock, C J ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

Avalanches; Iceland; Peaks over threshold; Snow; Statistical analysis; Statistical distributions

Indexed keywords

APPROXIMATION THEORY; MAXIMUM LIKELIHOOD ESTIMATION; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; SNOW; STATISTICAL METHODS;

GUMBEL DISTRIBUTION; ICELAND; PEAKS OVER THRESHOLD; STATISTICAL DISTRIBUTIONS;

AVALANCHES (SNOWSLIDES);

AVALANCHE; EXTREME EVENT; STATISTICAL ANALYSIS;

EID: 27644592465     PISSN: 0165232X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.coldregions.2005.01.004     Document Type: Article

References (38)

1. M. Barbolini U. Gruber C.J. Keylock M. Naaim F. Savi Application and evaluation of statistical and hydraulic-continuum dense-snow avalanche models to five real European sites Cold Reg. Sci. Technol. 31 2000 133-149
2. G. Blom Statistical estimates and transformed beta variables 1958 John Wiley and Sons New York
3. S. Coles An introduction to statistical modeling of extreme values 2001 Springer London 208 pp.
4. S. Coles J. Tawn A Bayesian analysis of extreme rainfall data Appl. Stat. J. Roy. St. C 45 1996 463-478
5. C. Cunnane Unbiased plotting positions - a review J. Hydrol. 37 1978 205-222
6. Cunnane, C., (1989). Statistical Distributions For Flood Frequency Analysis, WMO Operational Hydrology Report no. 33, 118 pp.
7. A.C. Davison Modelling excesses over high thresholds, with an application In: J. Tiago de Oliveira (Ed.) Statistical extremes and applications NATO ASI series 1984 D. Reidel Dordrecht 692
8. J.A. Greenwood J.M. Landwehr N.C. Matalas J.R. Wallis Probability weighted moments: Definition and relation to parameters of the several distributions expressible in inverse form Water Resour. Res. 15 1979 1049-1054
9. S.D. Grimshaw Computing maximum likelihood estimates for the generalized Pareto distribution Technometrics 35 1993 185-191
10. I.I. Gringorten A plotting rule for extreme probability paper J. Geophys. Res. 68 1963 813-814
11. E.J. Gumbel Statistics of extremes 1958 Columbia University Press New York
12. E.J. Gumbel H. von Schelling The distribution of the number of exceedances Ann. Math. Stat. 21 1950 247-262
13. A. Hazen Flood flows, a study of frequencies and magnitudes 1930 John Wiley and Sons New York
14. J.R.M. Hosking L-moments: Analysis and estimation of distributions using linear combinations of order statistics J. R. Stat. Soc., Ser. B 52 1990 105-124
15. J.R.M. Hosking J.R. Wallis Parameter and quantile estimation for the Generalized Pareto distribution Technometrics 29 1987 339-349
16. J.C. Houghton Birth of a parent: The Wakeby distribution for modeling flood flows Water Resour. Res. 14 1978 1105-1110
17. T. Jáhannesson Icelandic avalanche runout models compared with topographic models used in other countries. 25 years of snow and avalanche research. Voss 12-16 May 1998 Norwegian Geotechnical Institute Publication 203 1998 43-52
18. C.J. Keylock M. Barbolini Snow avalanche impact pressure - vulnerability relations for use in risk assessment Can. Geotech. J. 38 2001 227-238
19. C.J. Keylock U. Domaas Evaluation of topographic models of rockfall travel distance for use in hazard applications Arct. Antarct. Alp. Res. 31 1999 312-320
20. C.J. Keylock D.M. McClung M.M. Magnússon Avalanche risk mapping by simulation J. Glaciol. 45 1999 303-314
21. K.D. Kim J.H. Heo Comparative study of flood quantiles estimation by nonparametric models J. Hydrol. 260 2002 176-193
22. B.F. Kimbal On the choice of plotting positions on probability paper J. Am. Stat. Assoc. 55 1960 546-560
23. J.M. Landwehr N.C. Matalas J.R. Wallis Estimation of parameters and quantiles of Wakeby distributions Water Resour. Res. 15 1979 1361-1379
24. K. Lied S. Bakkehøi Empirical calculations of snow-avalanche run-out distance based on topographic parameters J. Glaciol. 26 94 1980 165-177
25. M. Martinelli A test of the avalanche runout equations developed by the Norwegian Geotechnical Institute Cold Reg. Sci. Technol. 13 1986 19-33
26. D.M. McClung Extreme avalanche runout: A comparison of empirical models Can. Geotech. J. 38 2001 1254-1265
27. D.M. McClung K. Lied Statistical and geometrical definition of snow avalanche runout Cold Reg. Sci. Technol. 13 1987 107-119
28. D.M. McClung A.I. Mears Extreme value prediction of snow avalanche runout Cold Reg. Sci. Technol. 19 1991 163-175
29. D.M. McClung A.I. Mears P.A. Schaerer Extreme avalanche run-out: Data from four mountain ranges Ann. Glaciol. 13 1989 180-184
30. D.J. Nixon D.M. McClung Snow avalanche runout from two Canadian mountain ranges Ann. Glaciol. 18 1993 1-6
31. J. Pickands Statistical inference using extreme order statistics Ann. Statist. 3 1975 119-131
32. G. Salvadori Linear combinations of order statistics to estimate the quantiles of generalized Pareto and extreme value distributions Stoch. Environ. Res. Risk Assess. 17 2003 116-140
33. G. Salavadori C. De Michele Analytical calculation of store volume statistics involving Pareto-like intensity-duration marginals Geophys. Res. Lett. 31 2004 L04502 doi: 10.1029/2003GL018767
34. D.S. Sinton J.A. Jones Extreme winds and windthrow in the western Columbia river gorge Northwest Sci. 76 2002 173-182
35. R.L. Smith Threshold methods for sample extremes In: J. Tiago de Oliveira (Ed.) Statistical extremes and applications NATO ASI series 1984 D. Reidel Dordrecht 692 pp.
36. R.L. Smith Maximum likelihood estimation in a class of non-regular cases Biometrika 72 1985 67-90
37. M.J. Smith D.M. McClung Characteristics and prediction of high-frequency avalanche runout Arct. Alp. Res. 29 1997 352-357
38. S. Yue The Gumbel logistic model for representing a multivariate storm event Adv. Water Resour. 24 2000 179-185