Research Article
The Compound Binomial Risk Model with Randomly Charging Premiums and Paying Dividends to Shareholders
Table 3
Exact values and asymptotic values for the distribution function of the deficit at ruin.
| | | | | | | | E.V | A.V | E.V | A.V | E.V | A.V | E.V | A.V |
| 0 | 0.6387 | — | 0.4492 | — | 0.6523 | — | 0.5457 | — | 1 | 0.6236 | — | 0.4406 | — | 0.6434 | — | 0.5347 | — | 2 | 0.6129 | — | 0.4351 | — | 0.6347 | — | 0.5238 | — | 3 | 0.6012 | — | 0.4273 | — | 0.6265 | — | 0.5124 | — | 4 | 0.5984 | — | 0.4198 | — | 0.6153 | — | 0.5004 | — | 5 | 0.5837 | — | 0.4102 | — | 0.6048 | — | 0.4961 | — | 6 | 0.5710 | 0.5894 | 0.4064 | 0.4219 | 0.5937 | 0.6174 | 0.4874 | 0.4984 | 7 | 0.5654 | 0.5804 | 0.4009 | 0.4155 | 0.5895 | 0.6110 | 0.4806 | 0.4932 | 8 | 0.5635 | 0.5716 | 0.3995 | 0.4091 | 0.5843 | 0.6047 | 0.4754 | 0.4881 | 9 | 0.5578 | 0.5629 | 0.3953 | 0.4029 | 0.5804 | 0.5984 | 0.4705 | 0.4831 | 10 | 0.5499 | 0.5543 | 0.3894 | 0.3968 | 0.5776 | 0.5923 | 0.4659 | 0.4781 | 20 | 0.4359 | 0.4403 | 0.3103 | 0.3152 | 0.4971 | 0.5068 | 0.3947 | 0.4091 | 30 | 0.3738 | 0.3776 | 0.2674 | 0.2703 | 0.4502 | 0.4567 | 0.3604 | 0.3687 | 40 | 0.3201 | 0.3239 | 0.2286 | 0.2318 | 0.4074 | 0.4117 | 0.3294 | 0.3323 | 50 | 0.2754 | 0.2778 | 0.1964 | 0.1988 | 0.3683 | 0.3710 | 0.2957 | 0.2995 | 60 | 0.2364 | 0.2383 | 0.1688 | 0.1705 | 0.3305 | 0.3344 | 0.2673 | 0.2699 | 80 | 0.1746 | 0.1753 | 0.1246 | 0.1255 | 0.2704 | 0.2716 | 0.2184 | 0.2193 | 100 | 0.1287 | 0.1289 | 0.0920 | 0.0923 | 0.2206 | 0.2207 | 0.1779 | 0.1781 |
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