Investigation and comparison of sampling properties of L-moments and conventional moments

Journal of Hydrology

Volumn 218, Issue 1-2, 1999, Pages 13-34

  Sankarasubramanian, A ^a,b   Srinivasan, K ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

^b TUFTS UNIVERSITY   (United States)

Author keywords

Generalised Normal, Pearson distributions; L moments; L skewness; Sampling methods

Indexed keywords

COMPUTER SIMULATION; FLOODS; METHOD OF MOMENTS; MONTE CARLO METHODS; PROBABILITY DISTRIBUTIONS; REGRESSION ANALYSIS;

CATCHMENT AREAS; GENERALISED EXTREME VALUE; GENERALISED NORMAL; GENERALISED PARETO; L-MOMENTS; L-SKEWNESS; PEARSON DISTRIBUTIONS; SAMPLING METHODS;

HYDROLOGY;

FLOOD FREQUENCY; HYDROMETEOROLOGY; SAMPLING; STATISTICAL ANALYSIS;

INDIA;

EID: 0033542131     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1694(99)00018-9     Document Type: Article

References (36)

1. Chowdhury, J.U., Stedinger, J. R., Lu, L.H., 1991. Goodness-of-fit tests for regional GEV flood distributions. Water Resour. Res. 27 (7), 1765-1776.
2. Durrans, S.R., 1994. A Pareto-based FOS distribution for hydrologie frequency analysis. In: Hipel, K.W. (Ed.). Stochastic and Statistical Methods in Hydrology and Environment Engineering, Kluwer Academic, Boston, MA, pp. 273.
3. Finlayson, B.L., McMahon, T.A., 1992. Global runoff. Encyclopedia of Earth System Science, 2. Academic Press, San Diego, CA.
4. Greenwood, J.A., Landwehr, J.M., Matalas, N.C., Wallis, J.R., 1979. Probability weighted moments: definitions and relation to parameters of several distributions expressed in inverse form. Water Resour. Res. 15 (6), 1049-1054.
5. Hosking, J.R.M., Wallis, J.R., Wood, E.F., 1985. Estimation of the generalized extreme-value distribution by the method of probability-weighted moments. Technometrics 27 (3), 251-261.
6. Hosking, J.R.M., 1986. The theory of probability weighted moments, Res. Report RC12210, IBM Research, Yorktown Heights.
7. Hosking, J.R.M., Wallis, J.R., 1987. An Index-flood procedure for regional rainfall frequency analysis. Eos Trans. AGU 68, 312.
8. Hosking, J.R.M., 1990. L-Moments: Analysis and estimation of distributions using linear combinations of order statistics. J. Royal Stat. Soc. Ser. B 52, 105-124.
9. Hosking, J.R.M., 1991. Approximations for use in constructing L-moment ratio diagrams. Res. Rep. RC 16635 (#73810), IBM Res. Div. T. J. Watson Res. Ctr. Yorktown Heights, NY.
10. Hosking, J.R.M., 1991. Fortran routines for use with the method of L-moments, Version 2.01, IBM Research Report RC 17097 (Updated).
11. Hosking, J.R.M., Wallis, J.R., 1993. Some statistics useful in regional frequency analysis. Water Resour. Res. 29 (2), 271-281.
12. Hosking, J.R.M., Wallis, J.R., 1997. Regional Frequency Analysis-An Approach Based on L-Moments. Cambridge University Press.
13. Karim, M.A., Chowdhury, J.U., 1993. A comparison of five distributions used in flood frequency analysis in Bangladesh, Proc. Int. Conf. on Hydro, and Water Resour.
14. Kirby, W., 1974. Algebraic boundedness of sample statistics. Water Resour. Res. 10 (2), 220-222.
15. Landwehr, J. M., Matalas, N.C., Wallis, J.R., 1979. Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantiles. Water Resour. Res. 15 (5), 1055-1064.
16. Madsen, H., Pearson, C. P., Rosbjerg, D., 1997. Comparison of annual maximum series and partial duration series methods for modeling extreme hydrologie events, 2. Regional modeling. Water Resour. Res. 33 (4), 759-769.
17. McMohan, T.A., Finlayson, B.L., Haines, A.T., Srikanthan, R., 1992. Global Runoff-Continental Comparisons of Annual Flows and Peak Discharges. Catena, Cremlingen-Destedt.
18. NIH, 1990-91. Regional flood frequency analysis for Godavari basin subzone-3(f), National Institute of Hydrology, Roorkee, India. Rep. No. TR-59.
19. NIH, 1994-95a. Regional flood frequency analysis for upper Narmada and Tapi subzone-3(c), National Institute of Hydrology, Roorkee, India. Rep. No. TR (BR) 133.
20. NIH, 1994-95b. Development of regional flood formula for Mahanadi subzone-3(d), , National Institute of Hydrology, Roorkee, India, Rep. No. TR(BR) 134.
21. NIH, 1995-96. Relationship between frequency of rainfall and frequency of flood for a catchment of Upper Narmada and Tapi Subzone-3(c), National Institute of Hydrology, Roorkee, India, Tech. Rep. No. CS(AR)206.
22. Onoz, B., Bayazit, M., 1995. Best-fit distributions of largest available flood samples. J. Hydrol. (Amsterdam) 167, 208.
23. Pearson, C.P., 1991. New Zealand regional flood frequency analysis using L-moments. J. Hydrol. (New Zealand) 30 (2), 53-64.
24. Pilon, P.J., Adamowski, K., 1992. The value of regional information to flood frequency analysis using the method of L-moments. Can. J. Civ. Engng 19, 137-147.
25. Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., 1986. Numerical recipes in Fortran, The Art of Scientific Computing. Cambridge University Press.
26. Rao, A.R., Hamed, K.H., 1994. Frequency analysis of upper Cauvery flood data by L-moments. Water Resour. Mgmt 8, 183-201.
27. R.D.S.O., 1991. Estimation of design discharge based on regional flood frequency approach for subzones 3(a), 3(b), 3(c) and 3(e), Research Designs and Standards Organization, Bridges and Floods wing, Rep. No. RBF-20.
28. Stedinger, J.R., Vogel, R.M., Georgiou, F.F., 1993. Frequency analysis of extreme events Chap. 18. In: Maidment, D.J. (Ed.). Handbook of Hydrology, McGraw Hill, New York.
29. Vogel, R.M., Fennessey, N.M., 1993. L-Moment diagrams should replace product moment diagrams. Water Resour. Res. 29 (6), 1745-1752.
30. Vogel, R.M., Thomas, W.O., McMahon, T.A., 1993a. Floodflow frequency model selection in southwestern U.S.A. J. Water Resour. Plan. Mgmt ASCE 119 (3), 353-366.
31. Vogel, R.M., McMahon, T.A., Chiew, F.H.S., 1993b. Floodflow frequency model selection in Australia. J. Hydrol. (Amsterdam) 146 (a), 421-449.
32. Vogel, R.M., Wilson, L, 1996. Probability distribution of annual maximum, mean, and minimum streamflows in the United States. J. Hydrol. Engng ASCE 2(1), 69-76.
33. Wallis, J.R., Matalas, N.C., Slack, J.R., 1974. Just a moment. Water Resour. Res. 10 (2), 211-219.
34. Wallis, J.R., 1988. Catastrophes, computing and containment: living with our restless habitat. Speculation in Sei. Tech. 11 (4), 295-324.
35. Wallis, J.R., Regional frequency studies using L-Moments, Res. Report 14597, IBM Res. Div. T.J. Watson Res. Cent. Yorktown Heights, NY. 1-17,1989
36. Wang, Q.J., 1996. Direct sample estimators of L-Moments. Water Resour. Res. 32 (12), 3617-3619.