Research Article
A New Useful Exponential Model with Applications to Quality Control and Actuarial Data
Table 8
Estimated parameters and S.Es of insurance data.
| Dist. | Parameter | Data 1 | Data 2 | Data 3 | Estimates | S.E | Estimates | S.E | Estimates | S.E |
| EBellE | | 0.028 | 0.007 | 0.0097 | 0.002 | 0.022 | 0.010 | | 10.86 | 3.442 | 13.67 | 3.392 | 1.174 | 0.124 | | 1.34 | 0.325 | 2.334 | 0.345 | 1.510 | 0.274 |
| EEP | | 0.032 | 0.007 | 0.015 | 0.002 | 0.026 | 0.011 | | 11.65 | 3.794 | 18.01 | 4.357 | 1.087 | 0.119 | | 3.183 | 1.410 | 4.326 | 1.456 | 4.400 | 1.496 |
| APEE | | 0.032 | 0.007 | 0.020 | 0.007 | 0.026 | 0.010 | | 0.040 | 0.057 | 0.008 | 0.024 | 0.012 | 0.018 | | 11.48 | 3.714 | 42.11 | 32.12 | 1.087 | 0.119 |
| TGE | | 0.041 | 0.006 | 0.028 | 0.007 | 0.044 | 0.010 | | 0.620 | 0.262 | 0.922 | 0.383 | 0.772 | 0.169 | | 13.63 | 4.445 | 80.09 | 65.40 | 0.938 | 0.117 |
| GEE | | 0.051 | 0.013 | 0.132 | 0.004 | 0.055 | 0.010 | | 11.97 | 8.136 | 2.819 | 0.466 | 1.502 | 0.738 | | 1.354 | 1.139 | 19.49 | 0.875 | 0.557 | 0.277 |
| EE | | 0.048 | 0.006 | 0.043 | 0.017 | 0.063 | 0.010 | | 16.08 | 5.250 | 405.2 | 903.6 | 0.837 | 0.117 |
| MOE | | 0.066 | 0.008 | 0.035 | 0.003 | 0.028 | 0.011 | | 72.13 | 41.02 | 160.9 | 57.75 | 0.213 | 0.106 |
| OWE | | 0.003 | 0.001 | 0.107 | 0.068 | 0.003 | 0.001 | | 14.28 | 7.280 | 0.011 | 0.005 | 11.11 | 2.873 | | 1.911 | 0.180 | 0.245 | 0.156 | 0.763 | 0.055 |
| W | | 0.585 | 0.081 | 0.642 | 0.083 | 0.127 | 0.028 | | 40.33 | 19.12 | 24.49 | 9.451 | 0.823 | 0.061 |
| KE | | 0.073 | 0.023 | 0.127 | 0.003 | 0.008 | 0.005 | | 34.93 | 27.33 | 0.081 | 0.042 | 0.819 | 0.074 | | 0.543 | 0.247 | 0.049 | 0.007 | 6.133 | 3.409 |
| BE | | 0.076 | 0.025 | 0.020 | 0.003 | 0.015 | 0.017 | | 33.00 | 24.58 | 34.708 | 9.900 | 0.818 | 0.107 | | 0.515 | 0.235 | 2.146 | 0.685 | 3.871 | 4.198 |
| TLE | | 0.024 | 0.003 | 0.011 | 0.001 | 0.031 | 0.005 | | 15.98 | 5.190 | 17.35 | 4.216 | 0.838 | 0.117 |
| NH | | 0.003 | 0.001 | 0.003 | 0.001 | 0.229 | 0.070 | | 3.900 | 0.874 | 2.022 | 0.347 | 0.549 | 0.076 | E | | 0.014 | 0.002 | 0.006 | 0.001 | 0.071 | 0.008 |
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