Multivariate Statistical Analysis of Indiana Hydrologic Data

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Rainfall Peak Attributes • Given depth (P) and duration (D), compute the conditional expectation of peak intensity (I) and percentage time to peak (T p) Expectation of peak intensity given P & D Expectation of time to peak (%) given P & D
Temporal Accumulation Curves • Given depth (P) and duration (D), compute the conditional expectation of percentage accumulations at each 10% temporal ordinates (A 10 , A 20 , …, A 90 ) Expectation of % accumulation given P & D
Page 1 and 2: Multivariate Statistical Analysis o
Page 3 and 4: Outline • Background and motivati
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: Estimate of peak intensity for know
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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