L moment diagrams for censored observations

Water Resources Research

Volumn 34, Issue 5, 1998, Pages 1241-1249

  Zafirakou Koulouris, Antigoni ^a   Vogel, Richard M ^a   Craig, Scott M ^b   Habermeier, Joerg ^c  

^a Tufts University   (United States)

^b Metcalf & Eddy   (United States)

^c Box 4071 ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CENSORED DATA; DATA PROCESSING; GOODNESS OF FIT;

PROBABILITY DISTRIBUTIONS;

CENSORED OBSERVATIONS; ESTIMATION METHODS; GOODNESS OF FIT; MEASURING EQUIPMENTS; MONITORING APPLICATIONS; PARTIAL PROBABILITY WEIGHTED MOMENT; QUANTILE ESTIMATION; RIGHT CENSORING;

GRAPHIC METHODS;

EID: 0031961375     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/97WR03712     Document Type: Article

References (28)

1. Berthouex, P. M., and L. C. Brown, Statistics for Environment Engineers, Lewis, Boca Raton, Fla., 1994.
2. Chowdhury, J. U., J. R. Stedinger, and L.-H. Lu, Goodness-of-fit tests for regional generalized extreme value flood distributions, Water Resour. Res., 27(7), 1765-1776, 1991.
3. Craig, S. M., Application of L-moments in frequency analysis of censored data, M. S. thesis, Tufts Univ., Medford, Mass., Feb. 1997.
4. David, H. A., Order Statistics, John Wiley, New York, 1981.
5. Durrans, S. R., Low-flow analysis with a conditional Weibull tail model, Water Resour. Res., 32(6), 1749-1760, 1996.
6. El-Shaarawi, A. H., Inferences about the mean from censored water quality data, Water Resour. Res., 25(4), 685-690, 1989.
7. Gilliom, R. J., and D. R. Helsel, Estimation of distributional parameters for censored trace level water quality data, 1, Estimation techniques, Water Resour. Res., 22(2), 135-146, 1986.
8. Greenwood, J. A., J. M. Landwehr, N. C. Matalas, and J. R. Wallis, Probability weighted moments: Definitions and relation to parameters of several distributions expressible in inverse form, Water Resour. Res., 15(6), 1049-1054, 1979.
9. Guttman, N. B., Statistical characteristics of US historical climatology network temperature distributions, Clim. Res., 6(1), 33-43, 1996.
10. Guttman, N. B., J. R. M. Hosking, and J. R. Wallis, Regional precipitation quantile values for the continental United States computed from L-moments, J. Clim.., 6(12), 2326-2340, 1993.
11. Habermeier, J., An evaluation of L-moment diagrams for left censored data, M.S. thesis, Tufts Univ., Medford, Mass., Nov. 1996.
12. Helsel, D. R., and R. J. Gilliom, Estimation of distributional parameters for censored trace level water quality data, 2, Validation techniques, Water Resour. Res., 22(2), 147-155, 1986.
13. Helsel, D. R., and R. M. Hirsch, Statistical Methods in Water Resources, Elsevier, New York, 1992.
14. Hosking, J. R. M., L-moments: Analysis and estimation of distributions using linear combinations of order statistics, J. R. Stat. Soc., Ser. B, 52, 105-124, 1990.
15. Hosking, J. R. M., The use of L-moments in the analysis of censored data, in Recent Advances in Life-Testing and Reliability, edited by N. Balakrishnan, chap. 29, pp. 546-560, CRC Press, Boca Raton, Fla., 1995.
16. Hosking, J. R. M., and J. R. Wallis, A comparison of unbiased and plotting-position estimators of L moments, Water Resour. Res., 31(8), 2019-2025, 1995.
17. Hosking, J. R. M., and J. R. Wallis, Regional Frequency Analysis: An Approach Based on L-Moments, Cambridge Univ. Press, New York, 1997.
18. Kirby, W., Algebraic boundedness of sample statistics, Water Resour. Res., 10(2), 220-222, 1974.
19. Kroll, C. N., and J. R. Stedinger, Estimation of moments and quantiles using censored data, Water Resour. Res., 32(4), 1005-1012, 1996.
20. Landwehr, J. M., N. C. Matalas, and J. R. Wallis, Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantiles, Water Resour. Res., 15(5), 1055-1064, 1979.
21. Stedinger, J. R., and T. A. Cohn, Flood frequency analysis with historical and paleoflood information, Water Resour. Res., 22(5), 785-793, 1986.
22. Stedinger, J. R., R. M. Vogel, and E. Foufoula-Geourgiou, Frequency analysis of extreme events, in Handbook of Hydrology, edited by D. A. Maidment, chap. 18, McGraw-Hill, New York, 1993.
23. Vogel, R. M., and N. M. Fennessey, L-moment diagrams should replace product moment diagrams, Water Resour. Res., 29(6), 1745-1752, 1993.
24. Vogel, R. M., and I. Wilson, Probability distribution of annual maximum, mean, and minimum streamflows in the United States, J. Hydrol. Engin., 1(2), 69-76, 1995.
25. Wang, Q. J., Estimation of the GEV distribution from censored samples by method of partial probability weighted moments, J. Hydrol., 120, 103-114, 1990a.
26. Wang, Q. J., Unbiased estimation of probability weighted moments and partial probability weighted moments from systematic and historical flood information and their application to estimating the GEV distribution, J. Hydrol., 120, 115-124, 1990b.
27. Wang, Q. J., Using partial probability weighted moments to fit the extreme value distributions to censored samples, Water Resour. Res., 32(6), 1767-1771, 1996a.
28. Wang, Q. J., Direct sample estimators of L moments. Water Resour. Res., 32(12), 3617-3619, 1996b.