Application of bivariate extreme value distribution to flood frequency analysis: A case study of Northwestern Mexico

Natural Hazards

Volumn 42, Issue 1, 2007, Pages 37-46

  Escalante Sandoval, Carlos ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

Bivariate extreme value distribution; Flood frequency analysis; Goodness of fit; Maximum likelihood parameter estimation; Mixed distributions

Indexed keywords

FLOOD FREQUENCY; FREQUENCY ANALYSIS; MAXIMUM LIKELIHOOD ANALYSIS; WEIBULL THEORY;

MEXICO [NORTH AMERICA]; NORTH AMERICA;

EID: 34249982101     PISSN: 0921030X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11069-006-9044-7     Document Type: Article

References (26)

1. Alila Y, Mtiraoui A (2002) Implications of heterogeneous flood-frequency distributions on traditional stream-discharge prediction techniques. Hydrol Process 16:1065-1084
2. Cavazos T, Hastenrath S (1990) Convection and rainfall over Mexico and their modulation by the Southern Oscillation. Int J Climatol 10:377-386
3. Cunnane C (1988) Methods and merits of regional flood frequency analysis. J Hydrol 100:269-290
4. De Michele C, Salvadori G, Canossi M, Petaccia A, Rosso R (2005) Bivariate statistical approach to check adequacy of dam spilway. J Hydrol Eng 10(1):50-57
5. Delgadillo J, Rodríguez D, Aguilar T (1999) Los aspectos económicos y sociales de El Niño. In: Los Impactos de El Niño en México. V. Magaña (ed) Dirección General de Protección Civil, Secretaria de Gobernación. México, 238 p (in Spanish)
6. Escalante C (1998a) Multivariate estimation of extreme flood hydrographs. Hydrol Sci Technol 14:19-27
7. Escalante C (1998b) Multivariate extreme value distribution with mixed gumbel marginals. J Am Water Res Assoc 3(2):321-333
8. Escalante C, Domínguez J (1997) Parameter estimation for bivariate extreme value distribution by maximum entropy. Hydrol Sci Technol J 13:1-10
9. Escalante C, Raynal JA (1994) A trivariate extreme value distribution applied to flood frequency analysis. J Natl Inst Stand Technol 99(4):369-375
10. Escalante C, Raynal JA (1998) Multivariate estimation of floods. The trivariate gumbel distribution. J Stat Comput Simulation 61(4):313-340
11. Gumbel EJ (1959) Multivariate distributions with given margins. Revista da faculdade de Ciencias. Serie A 2(2):178-218
12. Gumbel EJ (1960a) Multivariate extremal distributions. Bull Internat Statist Inst 39(2):471-475
13. Gumbel EJ (1960b) Distributions des valeurs extremes en plusiers dimensions. Publ Inst Stat Univ Paris 9:171-173
14. Kite GW (1988) Frequency and risk analyses in hydrology. Water Resources Publication
15. Kuester JL, Mize JH (1973) Optimization techniques with FORTRAN, McGraw-Hill
16. Magaña V, Ambrizzi T (2005) Dynamics of subtropical vertical motions over the Americas during El Niño boreal winters. Atmósfera 18(4):211-233
17. Magaña V, Vázquez J, Pérez J, Pérez JB (2003) Impact of El Niño on precipitation in México. Geofísica Internacional 42(3):313-330
18. Mood A, Graybill F, Boes D (1974) Introduction to the theory of statistics. McGraw-Hill
19. NOAA (1994) Report to the Nation. El Niño and Climate Prediction, 24 p
20. Raynal JA (1985) Bivariate extreme value distributions applied to flood frequency analysis Ph. D. dissertation, Civil Engineering Department, Colorado State University
21. Raynal JA, Salas JD (1987) Multivariate extreme value distributions in hydrological analyses. Water for the future: Hydrology in perspective. Proc Rome Symp 164:111-119
22. Tiago de Oliveira J (1982) Bivariate extremes: Models and statistical decision. Tech Report no 14. Center for stochastic processes, University of North Carolina, USA
23. Yue S (1999) Applying the bivariate normal distribution to flood frequency analysis. Water Int 24(3):248-252
24. Yue S (2000) The bivariate lognormal distribution to model a multivariate flood episode. Hydrol Process 14:2575-2588
25. Yue S (2001) A bivariate gamma distribution for use in multivariate flood frequency analysis. Hydrol Process 15:1033-1045
26. Yue S, Rasmussen P (2002) Bivariate frequency analysis: Discussion of some useful concepts in hydrological application. Hydrol Process 16:2881-2898