Table 8 Model comparisons: MSE and R2 for different models with for DS-III.
No. | Model name | Estimated parameters | Comparison criteria | |
|---|---|---|---|---|
MSE | \(\:{\varvec{R}}^{2}\) | |||
1 | Delayed S-Shaped | \(\:a=153\:,\:b=0.04\) | 138 | 0.889 |
2 | GO model | \(\:a=617\:,\:b=0.003\) | 95.40 | 0.923 |
3 | Inflection S-shaped | \(\:a=905\:,\:b=0.009\:,\:\beta\:=3.96\) | 86.02 | 0.932 |
4 | S-shaped change-point | \(\:a=\:131,\:{b}_{1}=0.04\:,\:{b}_{2}=2.16\:\) | 77.97 | 0.939 |
5 | Pham-Zhang | \(\:a=627\:,\:b=\:0.03,\:c=14.12\:,\:\alpha\:=1.02\:,\:\beta\:=34.4\) | 92.72 | 0.929 |
6 | Pure error generation | \(\:a=12\:,\:b=0.14\:,\:\alpha\:=1.03\) | 85.07 | 0.933 |
7 | Roy-Mahapatra-Dey model | \(\:a=\:176,\:b=0.001\:,\:\alpha\:=7.16\:,\:\beta\:=0.02\) | 91.88 | 0.929 |
8 | Yamada Exponential | \(\:a=962\:,\:\alpha\:=7.68\:,\:\beta\:=0.0002\:,\:\gamma\:=0.96\) | 96.06 | 0.925 |
9 | Yamada Imperfect 1 | \(\:a=612\:,\:b=\:0.002,\:\alpha\:=0.007\) | 84.61 | 0.933 |
10 | Yamada Imperfect 2 | \(\:a=6\:,\:b=0.23\:,\:\alpha\:=0.31\) | 98.78 | 0.922 |
11 | Yamada Rayleigh model | \(\:a=161\:,\:\alpha\:=0.79\:,\:\beta\:=0.0007\:,\:\gamma\:=1.99\) | 177.4 | 0.86 |
12 | Proposed Model | \(\:\varvec{N}=\:147,\:{\varvec{b}}_{1}=0.01,\:{\varvec{b}}_{2}=8.27,\:\) \(\:{\varvec{\alpha\:}}_{1}=0.0001,\:{\varvec{\alpha\:}}_{2}=0.401,\:{\varvec{\upsigma\:}}_{1}=0.6212,\:{\varvec{\upsigma\:}}_{2}=1.647\) | 6.03 | 0.995 |
