Table 12 Parameter estimate and goodness-of fit statistics data set III.

From: A new (T-X\(^\theta\)) family of distributions: properties, discretization and estimation with applications

Model

Estimates

-\({\hat{ll}}\)

AIC

BIC

AICc

K-S

p-value

E-X\(^{\theta }\)E\((\alpha , \theta )\)

(0.348, 1.185)

38.37

80.73

80.83

81.18

0.063

0.999

E-X\(^{\theta }\)G\((\alpha , \theta ,{\beta })\)

(0.857, 1.905, 0.87)

38.86

83.7

82.2

84.6

0.065

0.999

G-X\(^{\theta }\)E\(({\alpha },{\theta },{\beta })\)

(1, 1.425, 1.96)

38.17

82.35

80.85

83.2

0.061

1

BU-X\(^{\theta }\)E\((\alpha , \beta \theta )\)

(0.254, 1.36, 1.83)

38.82

83.62

82.14

84.56

0.083

0.973

CIR(\({\alpha },{\beta }\))

(1.198, 1.97)

39.96

83.93

86.72

84.37

0.097

0.914

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