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Table 1 Computed value for ASE compared between the proposed wavelet estimator in our paper and kernel estimator (defined in lopez(2015)) based on two copulas for various sample sizes

From: Wavelet estimation of copula function based on censored data

Estimation methods

ASE

n = 100

n = 300

n = 500

Wavelet Gumbel (τ = 0.25)

1.07

1.25

1.36

Kernel (h = 0.4) Gumbel (τ = 0.25)

1.32

1.45

1.57

Wavelet Clayton (τ = 0.25)

1.15

1.82

2.02

Kernel (h = 0.4) Clayton (τ = 0.25)

1.37

2.01

2.32

Wavelet Gumbel (τ = 0.75)

6.13

7.32

7.59

Kernel (h = 0.4) Gumbel (τ = 0.75)

6.63

7.66

7.95

Wavelet Clayton (τ = 0.75)

7.20

8.74

9.11

Kernel (h = 0.4) Clayton (τ = 0.75)

7.90

9.31

10.32