Multivariate Statistical Analysis of Indiana Hydrologic Data

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Extreme Events Feb. 5, 2008 Delphi, Indiana Flooding of Tippecanoe River Sept., 2007 George H. Sparks Reservoir Lithia Springs, Georgia (AP Photo/Journal & Courier, Michael Heinz) (Barry Gillis, http://www.drought.unl.edu/ gallery/ 2007/Georgia/Sparks1.htm)
Outline • Background and motivation – Limitations in univariate approach • Introduction to copulas • Research objectives – Topic 1: Probabilistic structure of surface runoff – Topic 2: Extreme rainfall frequency analysis – Topic 3: Drought frequency analysis • Summary and concluding remarks
Page 1: Multivariate Statistical Analysis o
Page 5 and 6: Bivariate Distribution Example Marg
Page 7 and 8: Use of Copulas in Hydrology • Sin
Page 9 and 10: Topic 1 Probabilistic Structure of
Page 11 and 12: Topic 2 Extreme Rainfall Frequency
Page 13 and 14: Estimate of peak intensity for know
Page 15 and 16: Temporal Accumulation Curves • Gi
Page 17 and 18: US Drought Monitor • Overall drou
Page 19 and 20: Modified SI • Limitations of the
Page 21 and 22: Higher Dimensional Copulas • Limi
Page 23 and 24: Joint Deficit Index (II)
Page 25 and 26: Precipitation vs. Streamflow r = 0.
Page 27 and 28: Conclusions for Drought Frequency A
Page 29 and 30: Acknowledgements • Deepest gratit

Multivariate Statistical Analysis of Indiana Hydrologic Data

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