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Table 3 Parameter estimates for the carbon fibers data

From: T-normal family of distributions: a new approach to generalize the normal distribution

Distribution

Exponential-

Exponentiated

Weibull-

gamma-

 

N{exponential}

exponential-

N{exponential}

N{exponential}

  

N{exponential}

  

Parameter

θ ̂ =0.1612

α ̂ =6.0389

ĉ=2.4062

α ̂ =4.7966

Estimates

(0.0198)*

(1.3675)

(0.2226)

(0.8076)

  

λ ̂ =0.3919

γ ̂ =6.9991

β ̂ =1.2932

  

(0.0434)

(0.3780)

(0.2296)

Log-likelihood

-114.8292

-87.0385

-86.0629

-85.9070

AIC

231.6584

178.0770

176.1258

175.8140

K-S

0.2768

0.0854

0.0894

0.0693

K-S p-value

0.0001

0.7215

0.6676

0.9090

  1. *standard error.