| The proposed Method | The copula mixture method [10] | Benjamini & Heller method [9] | The rank product method [8] | ||||
---|---|---|---|---|---|---|---|---|
 | α=0.1 | α=0.05 | α=0.1 | α=0.05 | α=0.1 | α=0.05 | α=0.1 | α=0.05 |
γ=80% | 0.996(0.002) | 0.997(0.0017) | 0.009(0.0058) | 0.025(0.0152) | 0.994(0.0021) | 0.999(0.001) | 1(0) | 1(0) |
γ=60% | 0.998(9e-04) | 0.999(7e-04) | 0.029(0.0075) | 0.057(0.0144) | 0.997(0.0015) | 0.999(7e-04) | 1(0) | 1(0) |
γ=40% | 0.999(7e-04) | 0.999(6e-04) | 0.07(0.0136) | 0.139(0.0268) | 0.999(7e-04) | 1(4e-04) | 1(0) | 1(0) |
γ=20% | 0.999(4e-04) | 0.999(3e-04) | 0.999(9e-04) | 1(4e-04) | 1(3e-04) | 1(1e-04) | 1(0) | 1(0) |
γ=10% | 0.999(4e-04) | 1(3e-04) | 1(1e-04) | 1(1e-04) | 1(1e-04) | 1(1e-04) | 1(2e-04) | 1(1e-04) |
γ=5% | 1(3e-04) | 1(3e-04) | 1(1e-04) | 1(0) | 1(1e-04) | 1(0) | 1(3e-04) | 1(1e-04) |
γ=1% | 1(3e-04) | 1(3e-04) | 1(1e-04) | 1(0) | 1(0) | 1(0) | 1(4e-04) | 1(2e-04) |