Research Article

A Comparative Study of Data Transformations for Wavelet Shrinkage Estimation with Application to Software Reliability Assessment

Table 3

Goodness-of-fit test results for different data transformations. (Threshold level: universal threshold.)

DS1 MSE1 MSE2 LL

HBT1(h, ut) 4.180 0.327 −153.759
HBT2(h, ut) 2.401 0.316 −144.850
HAT(h, ut) 2.573 0.317 −145.390
HFT(h, ut) 9.842 0.403 −383.785
HBT1(s, ut) 4.180 0.327 −153.759
HBT2(s, ut) 2.401 0.316 −144.850
HAT(s, ut) 2.573 0.317 −145.390
HFT(s, ut) 3.231 0.320 −148.023

DS2 MSE1 MSE2 LL

HBT1(h, ut) 12.449 1.141 −197.109
HBT2(h, ut) 11.600 1.138 −196.904
HAT(h, ut) 11.725 1.138 −196.953
HFT(h, ut) 11.847 1.138 −196.806
HBT1(s, ut) 12.450 1.141 −197.109
HBT2(s, ut) 11.600 1.138 −196.904
HAT(s, ut) 11.725 1.138 −196.953
HFT(s, ut) 11.847 1.138 −196.806

DS3 MSE1 MSE2 LL

HBT1(h, ut) 10.159 0.719 −143.181
HBT2(h, ut) 9.055 0.791 −192.903
HAT(h, ut) 9.286 0.793 −193.178
HFT(h, ut) 9.653 0.796 −167.025
HBT1(s, ut) 12.954 1.037 −212.321
HBT2(s, ut) 10.528 1.035 −213.978
HAT(s, ut) 10.813 1.035 −213.496
HFT(s, ut) 11.496 1.037 −213.419

DS4 MSE1 MSE2 LL

HBT1(h, ut) 2.065 0.304 −171.605
HBT2(h, ut) 1.781 0.304 −171.491
HAT(h, ut) 1.822 0.304 −171.504
HFT(h, ut) 1.864 0.304 −171.516
HBT1(s, ut) 2.065 0.304 −171.605
HBT2(s, ut) 1.781 0.304 −171.491
HAT(s, ut) 1.822 0.304 −171.504
HFT(s, ut) 1.864 0.304 −171.516

DS5 MSE1 MSE2 LL

HBT1(h, ut) 14.013 0.586 −304.198
HBT2(h, ut) 12.781 0.581 −301.073
HAT(h, ut) 12.941 0.581 −301.447
HFT(h, ut) 13.200 0.582 −301.841
HBT1(s, ut) 14.054 0.601 −312.551
HBT2(s, ut) 12.804 0.596 −309.709
HAT(s, ut) 12.968 0.597 −310.005
HFT(s, ut) 13.227 0.598 −310.480

DS6 MSE1 MSE2 LL

HBT1(h, ut) 12.707 0.521 −378.932
HBT2(h, ut) 11.899 0.525 −380.497
HAT(h, ut) 12.053 0.526 −380.987
HFT(h, ut) 12.186 0.526 −381.071
HBT1(s, ut) 13.546 0.585 −423.335
HBT2(s, ut) 12.505 0.584 −421.480
HAT(s, ut) 12.670 0.584 −421.729
HFT(s, ut) 12.810 0.584 −421.866