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Table 3 Parameter estimate (standard error in parentheses) for USS Halfbeak diesel engine data

From: On generating T-X family of distributions using quantile functions

 

Four-parameter NW{C}

McDonald-gamma

Kumaraswamy-gamma

MLE (SEb)

μ ^ =6.072 (1.514)

α ^ = 99.865 (0.294)

α ^ = 6.384 (0.992)

σ ^ =4.217 (1.207)

β ^ = 2.030 (0.022)

β ^ = 0.1996 (0.040)

c ^ = 1.448 (0.161)

a ^ = 0.0421 (0.006)

b ^ = 2.403 (0.001)

γ ^ = 10.073 (0.936)

b ^ =200.040 (60.178)

c ^ =0.0013 (0.000)

c ^ =0.2796 (0.014)

Log-likelihood

-196.45

-217.35

-239.2

AIC

400.9

444.7

486.4

K-S

0.0811

0.2635

0.2849

P-value

0.739

1.045e-04

1.974e-05

  1. b: standard error of the MLE.