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Table 5 The MLEs of the parameters and SEs in parentheses and the goodness-of-fit statistics for D3

From: The odd log-logistic logarithmic generated family of distributions with applications in different areas

Model μ σ α β \(\hat \ell _{n}\) W A K-S p-value
OLLLN 102.050 7.879 0.100 0.521 188.193 0.024 0.206 0.076 0.9705
  (5.611) (5.275) (0.119) (0.381)      
Normal 110.214 37.873    192.021 0.109 0.671 0.144 0.378
  (6.144) (4.344)        
EN 169.145 13.261 0.062   191.360 0.074 0.491 0.113 0.674
  (26.432) (13.067) (0.142)       
BN 172.325 18.326 0.109 1.785 191.273 0.068 0.465 0.105 0.759
  (22.216) (14.485) (0.160) (2.635)      
GN 172.393 17.696 0.102 1.340 191.263 0.068 0.465 0.106 0.752
  (20.263) (15.038) (0.159) (2.564)      
KN 129.188 13.163 0.082 0.361 191.071 0.065 0.450 0.111 0.695
  (30.610) (5.980) (0.104) (0.297)      
LN 62.065 33.056   0.997 190.819 0.059 0.417 0.109 0.717
  (23.996) (6.044)   (0.011)      
OLL-N 105.546 7.830 0.098   188.655 0.034 0.271 0.110 0.7025
  (4.163) (4.921) (0.110)