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Table 3 The MLEs of the parameters and SEs in parentheses and the goodness-of-fit statistics for D1

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 2.887 0.532 0.379 -1.639 126.178 0.035 0.331 0.053 0.963
  (0.212) (0.180) (0.192) (1.947)      
Normal 2.557 1.112    128.119 0.092 0.608 0.092 0.445
  (0.121) (0.086)        
EN 1.832 1.337 1.939   128.064 0.075 0.522 0.085 0.557
  (2.366) (0.708) (3.878)       
BN 0.808 2.443 7.113 2.469 128.085 0.074 0.520 0.084 0.562
  (7.151) (8.162) (48.582) (14.619)      
GN 2.805 0.541 0.290 0.197 127.757 0.058 0.438 0.075 0.7105
  (1.059) (0.265) (0.382) (0.216)      
KN 1.654 0.748 0.920 0.320 127.848 0.063 0.469 0.079 0.642
  (1.067) (0.539) (1.017) (0.524)      
LN 3.172 1.079   -7.091 127.570 0.048 0.391 0.066 0.828
  (0.562) (0.094)   (16.134)      
OLL-N 2.626 0.603 0.452   127.062 0.076 0.523 0.095 0.408
  (0.126) (0.218) (0.232)