Calculating inverse cv, skew and pwm functions for pearson-3, log-normal, extreme-value and log-logistic distributions

Communications in Statistics Part B: Simulation and Computation

Volumn 25, Issue 3, 1996, Pages 741-747

  Donaldson, R W ^a,b  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

^b NONE   (United Kingdom)

Author keywords

Estimation; Moments; Numerical approximation; Parametric distributions; Probability weighted moments

Indexed keywords

EID: 1542637758     PISSN: 03610918     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610919608813340     Document Type: Article

References (8)

1. Ahmad, M. I, Sinclair, C.D. and Werritty, A. 1988. Log-logistic flood frequency analysis. Journal of Hydrology, 98 (3-4), 205-224.
2. Cunnane, C. 1989. Statistical distributions for flood frequency analysis. World Meteorological Organisation Operational Hydrology Report 33, Geneva.
3. Hosking, J.R.M. 1986. The theory of probability weighted moments. IBM Research Report RC12210, New York.
4. Hosking, J.R.M. 1990. L-moments: analysis and estimation of distributions using linear combinations of order statistics. Journal of the Royal Statistical Society, series B, 52 (1), 105-124.
5. Hosking, J.R.M, Wallis, J.R. and Wood, E.F. 1985. Estimation of the generalised extreme value distribution by the method of probability weighted moments. Technometrics, 27 (3), 251-261.
6. Landwehr, J.M, Matalas, N.C. and Wallis, J.R. 1979. Probability weighted moments compared with some traditional techniques in estimating Gumbel parameters and quantiles. Water Resources Research, 15 (5), 1055-1064.
7. Ralston, A. and Rabinowitz, P. 1978. A first course in numerical analysis, 2nd edition. McGraw-Hill Kogakusha, Tokyo.
8. Sinclair, C.D. and Ahmad, M.I. 1988. Location-invariant plotting positions for PWM estimation of the parameters of the GEV distribution. Journal of Hydrology, 99 (3-4), 271-279.