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Table 3

Parameter estimations and K-S statistic DKS test of five candidate marginal distributions for variables

VariableHS1S2S3
Gumbel  40.3 40.6 39.5 37.2 
 17.8 14.9 15.1 14.5 
DKS 0.025 0.024 0.026 0.026 
Gamma  0.4 0.3 0.3 0.3 
 103.4 129.7 153.2 106.5 
DKS 0.148 0.122 0.141 0.153 
Pearson type III  0.20 0.24 0.20 0.19 
 0.0056 0.0067 0.0050 0.0063 
 6.02 4.43 5.27 4.59 
DKS 0.034 0.028 0.029 0.031 
Log Normal  2.83 2.11 2.43 2.57 
 1.17 1.46 1.28 1.26 
DKS 0.016 0.013 0.017 0.015 
Normal  41.08 38.27 38.43 34.69 
 49.57 49.85 41.19 43.03 
DKS 0.074 0.062 0.075 0.064 
VariableHS1S2S3
Gumbel  40.3 40.6 39.5 37.2 
 17.8 14.9 15.1 14.5 
DKS 0.025 0.024 0.026 0.026 
Gamma  0.4 0.3 0.3 0.3 
 103.4 129.7 153.2 106.5 
DKS 0.148 0.122 0.141 0.153 
Pearson type III  0.20 0.24 0.20 0.19 
 0.0056 0.0067 0.0050 0.0063 
 6.02 4.43 5.27 4.59 
DKS 0.034 0.028 0.029 0.031 
Log Normal  2.83 2.11 2.43 2.57 
 1.17 1.46 1.28 1.26 
DKS 0.016 0.013 0.017 0.015 
Normal  41.08 38.27 38.43 34.69 
 49.57 49.85 41.19 43.03 
DKS 0.074 0.062 0.075 0.064 

Note: values in bold denote that the distribution model passes the goodness-of-fit test at 0.05 significance level.

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