Table 10 Goodness-of fit statistics for data set I.

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

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

(1.255, 1, 4.15, 0.29)

317.16

640.3

640.6

640.0

0.041

0.994

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

(0.026, 0.602)

317.89

639.7

639.9

641.1

0.043

0.987

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

(2.03, 1.015, 5)

317.60

641.2

641.4

640.9

0.048

0.969

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

(0.356, 1.54, 1.324)

319.36

644.7

644.9

644.4

0.052

0.933

L-G{F}(\(\alpha , \gamma\))

(0.1392, 0.0657)

318.55

642.2

642.3

643.5

0.051

0.949

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