Table 4 Model comparisons: MSE and R2 for different models for DS-I.
No. | Model Name | Estimated Parameters | Comparison criteria | |
|---|---|---|---|---|
MSE | \(\:{\varvec{R}}^{2}\) | |||
1 | Delayed S-Shaped | \(\:a=374\:,\:b=0.19\) | 200.2 | 0.983 |
2 | GO model | \(\:a=750\:,\:b=0.17\) | 166 | 0.986 |
3 | Inflection S-shaped | \(\:a=380\:,\:b=0.17\:,\:\beta\:=2.88\) | 105.7 | 0.991 |
4 | S-shaped change-point | \(\:a=\:393,\:{b}_{1}=0.19\:,\:{b}_{2}=0.17\:\) | 219.2 | 0.984 |
5 | Pham-Zhang | \(\:a=330\:,\:b=\:0.28,\:c=21.03\:,\:\alpha\:=9.49\:,\:\) \(\:\beta\:=10.20\) | 141.6 | 0.990 |
6 | Pure error generation | \(\:a=52.4\:,\:b=0.46\:,\:\alpha\:=0.93\) | 177.0 | 0.986 |
7 | Roy-Mahapatra-Dey model | \(\:a=\:180,\:b=0.05\:,\:\alpha\:=2.99\:,\:\beta\:=0.22\) | 155.4 | 0.988 |
8 | Yamada Exponential | \(\:a=1238\:,\:\alpha\:=5.29\:,\:\beta\:=0.01\:,\:\gamma\:=0.26\) | 192.7 | 0.986 |
9 | Yamada Imperfect 1 | \(\:a=682\:,\:b=\:0.03,\:\alpha\:=0.002\) | 178.6 | 0.986 |
10 | Yamada Imperfect 2 | \(\:a=589\:,\:b=0.04\:,\:\alpha\:=\)0.001 | 313.7 | 0.976 |
11 | Yamada Rayleigh model | \(\:a=423\:,\:\alpha\:=1.73\:,\:\beta\:=0.01\:,\:\gamma\:=0.96\) | 362.9 | 0.974 |
12 | Proposed Model | \(\:\varvec{N}=423,\:{\varvec{b}}_{1}=0.05,\:{\varvec{b}}_{2}=0.04,\:{\varvec{\alpha\:}}_{1}=0.001,\) \(\:{\varvec{\alpha\:}}_{2}=0.004,\:{\varvec{\upsigma\:}}_{1}=0.247,\:{\varvec{\upsigma\:}}_{2}=0.058\) | 105.3 | 0.992 |
