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Table 4 The MLEs of the parameters and SEs in parentheses and the goodness-of-fit statistics for D2

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 930.893 215.288 0.323 0.854 325.684 0.018 0.157 0.057 0.997
  (151.780) (93.152) (0.224) (0.202)      
Normal 1191.628 500.709    328.303 0.068 0.489 0.083 0.901
  (76.357) (53.993)        
EN 2083.910 52.5006 0.005   325.847 0.020 0.174 0.076 0.9485
  (81.898) (14.640) (0.003)       
BN 2153.003 173.89 0.0496 4.139 325.680 0.017 0.157 0.059 0.996
  (313.548) (512.195) (0.268) (6.681)      
GN 2138.76 251.154 0.101 2.607 326.237 0.020 0.183 0.057 0.998
  (0.036) (0.036) (0.016) (1.319)      
KN 1825.282 71.445 0.0097 0.529 325.4645 0.018 0.162 0.058 0.997
  (288.596) (65.481) (0.019) (0.319)      
LN 748.777 472.416   0.974 326.628 0.026 0.221 0.064 0.991
  (275.414) (71.311)   (0.070)      
OLL-N 1131.115 223.172 0.338   327.292 0.058 0.415 0.125 0.473
  (75.566) (99.640) (0.231)