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Official Journal of the Asia Oceania Geosciences Society (AOGS)

Geoscience Letters Cover Image

Table 8 Joint CDF and Tand estimated from the empirical copula and MECC

From: Copula–entropy theory for multivariate stochastic modeling in water engineering

C(u,v) P (discharge)
P = 0.8 P = 0.9 P = 0.96 P = 0.98
  P (volume)
Empirical P = 0.8 0.7500 0.7857 0.8036 0.8036
P = 0.9 0.8036 0.8750 0.9107 0.9107
P = 0.96 0.8036 0.9107 0.9464 0.9643
P = 0.98 0.8036 0.9107 0.9643 0.9821
MECC P = 0.8 0.7503 0.7861 0.7940 0.7953
P = 0.9 0.7861 0.8649 0.8946 0.9013
P = 0.96 0.7940 0.8946 0.9429 0.9557
P = 0.98 0.7953 0.9013 0.9557 0.9709
Tand (years) Discharge (cms)
73.20 109.90 170.66 230.59
  Volume (m3)
Empirical 3.18 × 105 6.6667 11.6667 22.9508 42.4242
4.60 × 105 9.6552 13.3333 19.7183 32.5581
6.44 × 105 22.9508 19.7183 37.8378 41.1765
7.71 × 105 42.4242 32.5581 41.1765 45.1613
MECC 3.18 × 105 6.6535 11.6146 29.4142 65.3461
4.60 × 105 11.6146 15.3998 28.9062 46.8990
6.44 × 105 29.4142 28.9062 43.6433 63.4992
7.71 × 105 65.3462 46.8990 63.4992 91.8599