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

Table 4

Goodness-of-fit test results for different data transformations. (Threshold level: “leave-out-half” cross-validation threshold.)

DS1	MSE1	MSE2	LL
HBT1(h, lht)	0.112	0.015	−59.704
HBT2(h, lht)	0.131	0.017	−60.634
HAT(h, lht)	0.114	0.014	−60.324
HFT(h, lht)	8.079	0.343	−216.320
HBT1(s, lht)	0.159	0.010	−59.581
HBT2(s, lht)	0.109	0.010	−60.195
HAT(s, lht)	0.115	0.010	−60.118
HFT(s, lht)	0.151	0.010	−59.609
DS2	MSE1	MSE2	LL
HBT1(h, lht)	0.477	0.102	−70.438
HBT2(h, lht)	0.225	0.072	−70.227
HAT(h, lht)	0.263	0.077	−70.663
HFT(h, lht)	0.552	0.125	−71.041
HBT1(s, lht)	0.342	0.027	−69.407
HBT2(s, lht)	0.363	0.030	−69.781
HAT(s, lht)	0.364	0.030	−69.731
HFT(s, lht)	0.351	0.028	−69.446
DS3	MSE1	MSE2	LL
HBT1(h, lht)	0.208	0.032	−55.829
HBT2(h, lht)	0.275	0.041	−56.767
HAT(h, lht)	0.902	0.074	−57.614
HFT(h, lht)	0.323	0.048	−56.411
HBT1(s, lht)	0.573	0.040	−55.847
HBT2(s, lht)	0.486	0.037	−56.649
HAT(s, lht)	0.496	0.037	−56.551
HFT(s, lht)	0.537	0.037	−55.922
DS4	MSE1	MSE2	LL
HBT1(h, lht)	0.288	0.015	−121.008
HBT2(h, lht)	0.132	0.007	−120.942
HAT(h, lht)	0.232	0.013	−121.031
HFT(h, lht)	0.281	0.014	−121.004
HBT1(s, lht)	0.097	0.005	−120.893
HBT2(s, lht)	0.046	0.003	−120.906
HAT(s, lht)	0.050	0.003	−120.907
HFT(s, lht)	0.064	0.004	−120.888
DS5	MSE1	MSE2	LL
HBT1(h, lht)	0.055	0.012	−120.869
HBT2(h, lht)	0.221	0.016	−121.205
HAT(h, lht)	0.228	0.017	−121.195
HFT(h, lht)	0.219	0.017	−120.890
HBT1(s, lht)	0.174	0.007	−120.805
HBT2(s, lht)	0.149	0.006	−120.913
HAT(s, lht)	0.151	0.006	−120.898
HFT(s, lht)	0.158	0.006	−120.806
DS6	MSE1	MSE2	LL
HBT1(h, lht)	0.778	0.025	−166.906
HBT2(h, lht)	0.558	0.017	−166.816
HAT(h, lht)	0.548	0.017	−166.767
HFT(h, lht)	0.540	0.017	−166.673
HBT1(s, lht)	0.288	0.009	−166.432
HBT2(s, lht)	0.282	0.009	−166.532
HAT(s, lht)	0.289	0.010	−166.540
HFT(s, lht)	0.294	0.009	−166.440