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Table 2 The AEs, biases and MSEs of the OLLLN distribution for μ=0, σ=1, α=0.2,0.5 and β=−0.5,0.7 varying n

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

   α=0.2 β=−0.5   α=0.5 β=−0.5
n Parameter AE Bias MSE Parameter AE Bias MSE
50 μ -0.0499 -0.0499 0.3033 μ -0.0602 -0.0602 0.2529
  σ 0.9025 -0.0975 0.2581 σ 1.1766 0.1766 42.5479
  α 0.1926 -0.0074 0.0358 α 0.6543 0.1543 20.1315
  β -0.7939 -0.2939 1.6520 β -1.0228 -0.5228 3.4332
150 μ -0.0518 -0.0518 0.2303 μ -0.0003 -0.0003 0.1117
  σ 0.8911 -0.1089 0.1107 σ 0.9765 -0.0235 0.1005
  α 0.1771 -0.0229 0.0137 α 0.4934 -0.0066 0.0487
  β -0.5812 -0.0812 0.4428 β -0.9119 -0.4119 2.1433
300 μ -0.0395 -0.0395 0.1105 μ 0.0037 0.0037 0.0551
  σ 0.8787 -0.1213 0.0772 σ 0.9877 -0.0123 0.0452
  α 0.1737 -0.0263 0.0099 α 0.4973 -0.0027 0.0211
  β -0.5532 -0.0532 0.1873 β -0.7216 -0.2216 0.9713
   α=0.2 β=0.7   α=0.5 β=0.7
n Parameter AE Bias MSE Parameter AE Bias MSE
50 μ 0.0436 0.0436 0.3052 μ 0.0792 0.0792 0.2650
  σ 0.9008 -0.0992 0.1778 σ 1.1175 0.1175 83.1835
  α 0.1933 -0.0067 0.0251 α 0.6144 0.1144 42.5964
  β 0.5943 -0.1057 0.1579 β 0.4014 -0.2986 0.8603
150 μ -0.0064 -0.0064 0.2759 μ 0.0152 0.0152 0.1170
  σ 0.8930 -0.1070 0.1148 σ 0.9899 -0.0101 0.0938
  α 0.1864 -0.0136 0.0151 α 0.5029 0.0029 0.0474
  β 0.6668 -0.0332 0.0500 β 0.6043 -0.0957 0.1170
300 μ 0.0624 0.0624 0.1436 μ -0.0038 -0.0038 0.0616
  σ 0.8393 -0.1607 0.0897 σ 0.9916 -0.0084 0.0460
  α 0.1713 -0.0287 0.0117 α 0.5012 0.0012 0.0227
  β 0.6797 -0.0203 0.0310 β 0.6603 -0.0397 0.0356