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Table 4 Numerical results for different sites and various approaches

From: Optimization of the distribution of wind speeds using convexly combined Weibull densities

  Site 1 Site 2 Site 3
Weibull PDF    
 k 1.459 2.947 2.436
 c 4.044 4.474 5.688
 KS test statistic value 0.084 0.089 0.091
Bimodal Weibull PDF    
 \(\lambda _1\) 0.002 0.397 0.070
 \(k_1\) 1.294 5.451 2.310
 \(c_1\) 50.000 3.114 10.095
 \(\lambda _2\) 0.998 0.603 0.930
 \(k_2\) 1.869 3.789 3.521
 \(c_2\) 4.023 5.222 5.299
 KS test statistic value 0.051 0.035 0.019
Gamma–Weibull PDF    
 \(\lambda _1\) 0.765 0.514 0.979
 \(\alpha \) 3.353 15.843 8.344
 \(\beta \) 1.268 0.194 0.586
 \(\lambda _2\) 0.235 0.486 0.022
 k 3.351 4.076 3.746
 c 1.852 5.462 14.424
 KS test statistic value 0.079 0.025 0.020
Convexly combined Weibull PDF    
 \(\lambda _1\) 0.000 0.039 0.065
 \(k_1\) 3.400 9.134 11.811
 \(c_1\) 10.644 6.812 5.666
 \(\lambda _2\) 0.311 0.021 0.100
 \(k_2\) 3.229 6.800 4.251
 \(c_2\) 3.044 3.409 7.414
 \(\lambda _3\) 0.018 0.000 0.087
 \(k_3\) 3.523 1.000 5.551
 \(c_3\) 2.733 5.773 3.165
 \(\lambda _4\) 0.160 0.011 0.052
 \(k_4\) 5.669 12.425 4.891
 \(c_4\) 6.523 7.931 2.612
 \(\lambda _5\) 0.010 0.032 0.045
 \(k_5\) 3.525 18.863 18.392
 \(c_5\) 5.607 4.731 4.921
 \(\lambda _6\) 0.002 0.148 0.000
 \(k_6\) 1.289 9.826 1.000
 \(c_6\) 50.000 3.949 3.081
 \(\lambda _7\) 0.001 0.047 0.121
 \(k_7\) 2.405 5.713 4.676
 \(c_7\) 11.741 5.077 5.114
 \(\lambda _8\) 0.186 0.000 0.005
 \(k_8\) 5.608 2.828 19.063
 \(c_8\) 5.772 4.997 11.806
 \(\lambda _9\) 0.274 0.302 0.358
 \(k_9\) 3.214 6.298 5.062
 \(c_9\) 1.806 2.736 5.980
 \(\lambda _{10}\) 0.019 0.082 0.025
 \(k_{10}\) 2.827 14.432 3.242
 \(c_{10}\) 3.512 3.365 13.675
 \(\lambda _{11}\) 0.000 0.000 0.139
 \(k_{11}\) 4.720 5.270 9.266
 \(c_{11}\) 6.344 4.508 4.048
 \(\lambda _{12}\) 0.020 0.319 0.004
 \(k_{12}\) 26.295 5.217 4.399
 \(c_{12}\) 7.201 5.553 5.338
 KS test statistic value 0.017 0.024 0.012