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Fig 1.

The pdf curves of the NCTPF distribution for different parametric values.

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Fig 1 Expand

Fig 2.

The hrf curves of the NCTPF distribution for different parametric values.

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Fig 2 Expand

Table 1.

The mean, variance, DI, CS, and CK of the NCTPF distribution for (θ = 1).

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Table 1 Expand

Table 2.

Simulation results for (λ = -0.9,α = 0.5).

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Table 2 Expand

Table 3.

Simulation results for (λ = -0.5,α = 0.5).

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Table 3 Expand

Table 4.

Simulation results for (λ = 0.5,α = 0.5).

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Table 4 Expand

Table 5.

Simulation results for (λ = 0.5,α = 2.0).

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Table 5 Expand

Table 6.

Simulation results for (λ = 0.5,α = 3.0).

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Table 6 Expand

Fig 3.

Boxplot and TTT plots for both datasets.

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Fig 3 Expand

Table 7.

Descriptive statistics for the data sets.

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Table 7 Expand

Table 8.

ML estimates, AIC, BIC statistics under-considered distributions based on data set.

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Table 8 Expand

Fig 4.

Fitting performance of the NCTPF distribution.

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Fig 4 Expand

Fig 5.

The PP plots for the dataset using different estimation methods.

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Fig 5 Expand

Table 9.

Different estimation methods for the dataset.

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Table 9 Expand