Approximate confidence intervals for quantiles of gamma and generalized gamma distributions

Journal of Hydrologic Engineering

Volumn 3, Issue 1, 1998, Pages 43-51

  Ashkar, Fahim ^a   Ouarda, Taha B M J ^a,b  

^a UNIVERSITÉ DE MONCTON   (Canada)

^b CENTRE EAU TERRE ENVIRONNEMENT   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CURVE FITTING; ERROR ANALYSIS; HYDROLOGY; PROBABILITY;

CONFIDENCE INTERVALS (CI); FLOOD QUANTILES; GAMMA-RELATED PROBABILITY DISTRIBUTIONS; KRITSKY-MENKEL DISTRIBUTION;

FLOODS;

CONFIDENCE INTERVAL; FLOOD FREQUENCY ANALYSIS; FLOOD QUANTILE; STATISTICAL ANALYSIS;

EID: 0031946159     PISSN: 10840699     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)1084-0699(1998)3:1(43)     Document Type: Article

References (17)

1. Abramowitz, M., and Stegun, I. (eds.) (1965). Handbook of mathematical functions. Dover Publications, New York, N.Y.
2. Ashkar, F., and Bobée, B. (1988). "Confidence intervals for flood events under a Pearson 3 or log-Pearson 3 distribution." Water Resour. Bull., 24(3), 639-650.
3. Ashkar, F., and Ouarda, T. B. M. J. (1994). "Tolerance limits for the gamma and generalized gamma distributions." Scientific Rep. No. STAT-12, Dept. of Math., Univ. of Moncton, Moncton, N.B., Canada.
4. Ashkar, F., Bobée, B., Leroux, D., and Morisette, D. (1988). "The generalized method of moments applied to the generalized gamma distribution." Stochastic Hydrol. and Hydr., 2, 161-174.
5. Bain, L. J., and Engelhardt, M. (1981). "Simple approximate distributional results for confidence and tolerance limits for the Weibull distribution based on maximum likelihood estimators." Technometrics, 23(1), 15-20.
6. Bain, L. J., and Engelhardt, M. (1992). Introduction to probability and mathematical statistics, 2nd Ed., PWS-KENT Publishing Co., Boston, Mass.
7. Bain, L. J., Engelhardt, M., and Shiue, W. K. (1984). "Approximate tolerance limits and confidence limits on reliability for the gamma distribution." IEEE Trans. on Reliability R-33, (2), 184-187.
8. Bobée, B., and Ashkar, F. (1991). The gamma family and derived distributions applied in hydrology. Water Resources Publications, Littleton, Colo.
9. Chowdhury, J. U., and Stedinger, J. R. (1991). "Confidence interval for design floods with estimated skew coefficient." J. Hydr. Engrg., ASCE, 117(7), 811-831.
10. D'Agostino, R. B., and Stephens, M. A. (1986). Goodness-of-fit techniques. Marcel Dekker, New York, N.Y.
11. Hahn, G. J., and Meeker, W. Q. (1991). Statistical intervals/a guide for practitioners. J. Wiley & Sons, Inc., New York, N.Y.
12. Johnson, N. L., and Welch, B. L. (1940). "Applications of the non-central T-distribution." Biometrika, 31, 362-389.
13. Lawless, J. F. (1982). Statistical models and methods for lifetime data. John Wiley & Sons, Inc., New York, N.Y.
14. Mann, N. R., and Fertig, K. W. (1977). "Efficient unbiased quantile estimators for moderate-size complete samples from extreme value and Weibull distributions: confidence bounds and tolerance and prediction intervals." Technometrics, 19, 87-93.
15. Odeh, R. E., and Owen, D. B. (1980). Tables for normal tolerance limits, sampling plans and screening. Marcel Dekker, New York, N.Y.
16. Stedinger, J. R. (1983). "Confidence intervals for design events." J. Hydr. Engrg., ASCE, 109(1), 13-27.
17. Wilson, E. B., and Hilferty, M. M. (1931). "The distribution of chisquare." Proc., Nat. Acad. of Sci., 17(12), 684-688.