A technique for selecting the threshold in applications of the poisson-exponential flood model

Canadian Journal of Civil Engineering

Volumn 24, Issue 1, 1997, Pages 12-19

  Birikundavyi, S ^a   Rousselle, J ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

Flood frequency analysis; Hydrology; Poisson exponential model; Probability generating function; Probability plots; Threshold level

Indexed keywords

FLOOD FREQUENCY ANALYSIS; MATHEMATICAL TECHNIQUES; MODELLING;

FLOOD MODELLING; PARTIAL DURATION SERIES; POISSON MODEL; THRESHOLD CRITERION;

EID: 0030760111     PISSN: 03151468     EISSN: None     Source Type: Journal    
DOI: 10.1139/l96-083     Document Type: Article

References (27)

1. Ashkar, F., and Rousselle, J. 1983. Some remarks on the truncation used in partial flood series models. Water Resources Research, 19(2): 477-480.
2. Ashkar, F., and Rousselle, J. 1987. Partial duration series modelling under the assumption of a Poisson flood count. Journal of Hydrology, 90(1-2): 135-144.
3. Birikundavyi, S., Ribeiro-Corréa, J., and Rousselle, J. 1994. Regional analysis of partial duration flood series in Quebec. In Stochastic and statistical methods and environmental engineering. Vol. 1. Extreme values: floods and droughts. Edited by K.W. Hipel. Kluwer Academic Publishers, Dordrecht, The Netherlands, pp. 109-121.
4. Bruce, P.C. 1993. Resampling stats: the "new statistics." User guide, Version 3.14. Resampling Stats Inc., Arlington, Va.
5. Coles, S.G. 1989. On goodness-of-fit tests for the two-parameter weibull distribution derived from the stabilized probability plot. Biometrika, 76(3): 593-598.
6. Cruise, J.F., and Arora, K. 1990. A hydroclimatic application strategy for the Poisson partial duration model. Water Resources Bulletin, 26(3): 431-442.
7. Cunnane, C. 1979. A note on the Poisson assumption in partial duration series models. Water Resources Research, 15(2): 489-494.
8. Dalrymple, T. 1960. Flood frequency analysis. U.S. Geological Survey, Water Supply Paper No. 1534A.
9. Fisher, R.A. 1950. The significance of deviations from expectations in Poisson series. Biometrics, 6: 17-24.
10. Gan, F.F., and Koehler, K.J. 1990. Goodness-of-fit tests based on P-P probability plots. Technometrics, 32(3): 289-303.
11. Gan, F.F., and Koehler, K.J. 1992. A Goodness-of-fit test based on P-P probability plots. Journal of Quality Technology, 24(2): 96-102.
12. Gerson, M. 1975. The techniques and uses of probability plotting. The Statistician, 24: 235-257.
13. Irvine, K.N., and Waylen, P.R. 1986. Partial series analysis of high flows in Canadian rivers. Canadian Water Resources Journal, 11(2): 83-91.
14. Konecny, F., and Nachtnebel, H.P. 1985. Extreme value processes and the evaluation of risk in flood analysis. Applied Mathematical Modelling, 9: 11-15.
15. LaBrecque, J. 1977. Goodness-of-fit tests based on nonlinearity in probability plots. Technometrics, 19: 293-306.
16. Looney, S.W., and Gulledge, T.R. 1985. Use of the correlation coefficient with normal probability plots. The American Statistician, 39(1): 75-79.
17. Mathier, L., Roy, R., Bobée, B., Perron, H., and Fortin, V. 1993. Estimation régionale des crues: description des banques de données hydrométriques, météorologiques et physiographiques pour le Québec et l'Ontario. INRS-Eau, Sainte-Foy, Que., Internal Report I-123.
18. Nakamura, M., and Perez-Abreu, V. 1993. Use of an empirical probability generating function for testing a Poisson model. The Canadian Journal of Statistics, 21(2): 149-156.
19. Raby, M., Birikundavyi, S., and Rousselle, J. 1993. Banque de données des séries de durée partielle. Report, École polytechnique de Montréal, Montreal, Que.
20. Rémillard, L. 1989. Analyse de l'aspect saisonnier des débits extrêmes à travers le Canada. M.Sc. thesis, École polytechnique de Montréal, Montréal, Que.
21. Shapiro, S.S., and Brain, C.W. 1981. A review of distributional testing procedures and development of a censored sample distributional test. In Statistical distributions in scientific work. Edided by C. Taillie, G.P. Patil, and B.A. Baldessari. D. Reidel Publishing Co., Dordrecht, The Netherlands, pp. 1-24.
22. Taesombut, V., and Yevjevich, V. 1978. Use of partial duration series for estimating distribution of maximum annual flood peak. Colorado State University, Fort Collins, Colo., Hydrology Paper No. 97.
23. Todorovic, P. 1970. On some problems involving random number of random variables. Annals of Mathematical Statistics, 41(3): 1059-1063.
24. Todorovic, P., and Rousselle, J. 1971. Some problems of flood analysis. Water Resources Research, 7(5): 1144-1150.
25. Todorovic, P., and Zelenhasic, E. 1970. A stochastic model for flood analysis. Water Resources Research, 6(6): 1641-1648.
26. Waylen, P.R., and Woo, M.K. 1983. Stochastic analysis of high flows in some central British Columbia rivers. Canadian Journal of Civil Engineering, 10(2): 639-648.
27. Wilk, M.B., and Gnanadesikan, R. 1968. Probability plotting methods for the analysis of data. Biometrika, 55: 1-17.