Evaluation of probabilistic point estimate methods in uncertainty analysis for environmental engineering applications

Journal of Environmental Engineering

Volumn 131, Issue 3, 2005, Pages 387-395

  Tsai, Christina W ^a   Franceschini, Samuela ^a  

^a UNIVERSITY AT BUFFALO   (United States)

Author keywords

Environmental engineering; Probabilistic methods; Settling velocity; Uncertainty analysis

Indexed keywords

MATHEMATICAL MODELS; PROBABILISTIC LOGICS; PROBLEM SOLVING; STATISTICAL METHODS;

COMPUTATIONAL EFFICIENCY; PROBABILISTIC POINT ESTIMATE METHODS; QUANTITATIVE PERFORMANCE INDEX; UNCERTAINTY ANALYSIS;

ENVIRONMENTAL ENGINEERING;

SETTLING VELOCITY;

EID: 14644442342     PISSN: 07339372     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9372(2005)131:3(387)     Document Type: Article

References (25)

1. American Water Works Association (AWWA). (1999). Water quality and treatment. A handbook of community water supplies, 5th Ed., McGraw-Hill, New York.
2. Bolle, A. (1994). "How to manage the spatial variability of natural soils." NATO ASI Series E, Vol. 269, NATO, Cachan, France.
3. Bolle, A. (2003). "Influence of the spatial variability on the slope stability of mainly cohesive deposits." Proc. Ninth International Conference on Applications of Statistics and Probability in CSEE, San Francisco.
4. Chang, C. H., Yang, J. C., and Tung, Y. K. (1997). "Uncertainty analysis by point estimate methods incorporating marginal distribution." J. Hydraul. Eng., 123(3), 244-250.
5. Chang, C. H., Tung, Y. K., and Yang, J. C. (1995). "Evaluation of probability point estimate methods." Appl. Math. Model., 19(2), 95-105.
6. Cheng, S. T., Yen, B. C., and Tang, W. H. (1993). "Stochastic risk modeling of dam overtopping." Reliability and uncertainty analysis in hydraulic design, B. C. Yen and Y. K. Tung, eds., ASCE, Reston, Va, 123-132.
7. Christian, J. T., and Baecher, G. B. (1999). "Point-estimate method as numerical quadrature." J. Geotech. Geoenviron. Eng., 125(9), 779-786.
8. Christiansen, E. B., and Barker, D. H. (1965). "The effect of shape and density on the free settling of particles at high Reynolds numbers." AIChE J., 11(1), 145-150.
9. Grivas, A. D., and Stiefel, U. C. (1983). "Reliability assessment based on point estimates of probability moments." Proc., Int. Conf. on Mathematical Modeling, Zurich, Switzerland.
10. Han, K.-Y., Kim, S.-H., and Bae, D.-H. (2001). "Stochastic water quality analysis using reliability method." J. Am. Water Resources Assoc., 37(3), 695-708.
11. Harr, M. E. (1989). "Probability estimate for multivariate analysis." Appl. Math. Model., 13(5), 313-318.
12. Li, K. S. (1992). "Point estimate method for calculating statistical moments." J. Eng. Mech., 118(7), 1506-1511.
13. Lian, Y., and Yen, C. B. (2003). "Comparison of risk calculation methods for a culvert." J. Hydraul. Eng., 129(2), 140-152.
14. Melching, C. S., and Anmangandla, S. (1992). "Improved first-order uncertainty method for water-quality modeling." J. Environ. Eng., 118(5), 791-805.
15. Melching, C. S., and Bauwens, W. (2001). "Uncertainty in coupled nonpoint source and stream water-quality models." J. Water Resour. Plan. Manage., 127(6), 403-413.
16. Melching, C. S., and Yoon, C. G. (1996). "Key sources of uncertainty in QUAL2E model of Passaic River." J. Water Resour. Plan. Manage., 122(2), 105-113.
17. Rosenblueth, E. (1975). "Point estimates for probability moments." Proc. Natl. Acad. Sci. U.S.A., 72(10), 3812-3814.
18. Rosenblueth, E. (1981). "Point estimates for probability." Appl. Math. Model., 5, 329-335.
19. Salas, J. D., and Shin, H.-S. (1999). "Uncertainty analysis of reservoir sedimentation." J. Hydraul. Eng., 125(4), 339-350.
20. Tsai, C. W.-S. (2000). "Uncertainty analysis of flood wave propagation." Proc., 8th IAHR Int. Symp. on Stochastic Hydraulics ISSH 2000, Beijing, 647-655.
21. Tsai, C. W.-S., and Franceschini, S. (2002). "Uncertainty analysis using an improved point estimate method." Proc., American Geophysical Union 2002 Fall Meeting, San Francisco.
22. Tyagi, A., and Haan, C. T. (2001a). "Reliability, risk, and uncertainty analysis using generic expectation functions." J. Environ. Eng., 127(10), 938-945.
23. Tyagi, A., and Haan, C. T. (2001b). "Uncertainty analysis using corrected first-order approximation method." Water Resour. Res., 37(6), 1847-1858.
24. Tung, Y. K., and Yen, B. C. (1993). "Some recent progress in uncertainty analysis for hydraulic design." Reliability and uncertainty analysis in hydraulic design, B. C. Yen and Y. K. Tung, eds., ASCE, Reston, Va, 17-34.
25. Yu, P. S., Yang, T. C., and Chen, S. J. (2001). "Comparison of uncertainty analysis methods for a distributed rainfall-runoff model." J. Hydrol., 244, 43-59.