Probability weighted moments properties for small samples

Statistics and Probability Letters

Volumn 77, Issue 2, 2007, Pages 190-195

  Furrer, Reinhard ^a   Naveau, Philippe ^b,c  

^a Department of Geology and Geological Engineering   (United States)

^b INSTITUT PIERRE SIMON LAPLACE   (France)

^c UNIVERSITY OF COLORADO   (United States)

Author keywords

Generalized Pareto distribution; U statistics

Indexed keywords

EID: 33750985964     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2006.06.009     Document Type: Article

References (10)

1. Coles S., and Dixon M. Likelihood-based inference for extreme value models. Extremes 2 5 (1999) 23
2. Davison A.C. Modelling excesses over high thresholds with an application. In: Tiago de Oliveira J. (Ed). Statistical Extremes and Applications vol. 131 (1984), D. Reidel Publishing Co., Dordrecht 461-482
3. Diebolt, J., Guillou, A., Worms, R., 2003. Asymptotic behaviour of the probability-weighted moments and penultimate approximation. E.S.A.I.M. Probab. Statist. 219-238.
4. Diebolt, J., Guillou, A., Rached, I., 2004. A new look at probability-weighted moments estimators. C. R. Acad. Sci. Paris, Sér. 7, pp. 629-634.
5. Hoeffding W. A class of statistics with asymptotically normal distribution. Ann. Math. Statist. 19 (1948) 293-325
6. Hosking J.R.M., and Wallis J.R. Parameter and quantile estimation for the generalized Pareto distribution. Technometrics 29 (1987) 339-349
7. Katz R., Parlange M., and Naveau P. Extremes in hydrology. Adv. Water Resour. 25 (2002) 1287-1304
8. Landwehr J., Matalas N., and Wallis J. Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantiles. Water Resour. Res. 15 (1979) 1055-1064
9. Lee A.J. U-Statistics Theory and Practice (1990), Marcel Dekker Inc., New York
10. Shaked M., and Shanthikumar J. Stochastic Orders and Their Applications (1994), Academic Press, New York