Research Article
On the Usefulness of the Logarithmic Skew Normal Distribution for Describing Claims Size Data
Table 5
:Limited expected value for the different distributions considered and different values of the fixed amount deductible
for hospital costs dataset.
| | Limited expected value |
| | Deductible | Empirical | Pareto | PAT | LSN | | 6.00 | 6.00000 | 6.00000 | 5.99853 | 5.99810 | | 6.15 | 6.14978 | 6.14346 | 6.14740 | 6.14661 | | 6.30 | 6.29677 | 6.27480 | 6.29568 | 6.29419 | | 6.45 | 6.44047 | 6.39529 | 6.44308 | 6.44044 | | 6.60 | 6.58092 | 6.50605 | 6.58927 | 6.58482 | | 6.75 | 6.71905 | 6.60806 | 6.73373 | 6.72666 | | 6.90 | 6.85458 | 6.70218 | 6.87580 | 6.86517 | | 7.05 | 6.98883 | 6.78918 | 7.01456 | 6.99940 | | 7.20 | 7.11933 | 6.86973 | 7.14881 | 7.12827 | | 7.35 | 7.24475 | 6.94442 | 7.27702 | 7.25059 | | 7.50 | 7.36489 | 7.01380 | 7.39730 | 7.36506 | | 7.65 | 7.47366 | 7.07833 | 7.50753 | 7.47039 | | 7.80 | 7.57179 | 7.13843 | 7.60564 | 7.56533 | | 7.95 | 7.65844 | 7.19450 | 7.69007 | 7.64882 | | 8.10 | 7.73372 | 7.24686 | 7.76028 | 7.72019 | | 8.25 | 7.79120 | 7.29582 | 7.81694 | 7.77925 | | 8.40 | 7.83213 | 7.34167 | 7.86162 | 7.82640 | | 8.55 | 7.86265 | 7.38465 | 7.89634 | 7.86260 | | 8.70 | 7.88567 | 7.42498 | 7.92311 | 7.88928 | | 8.85 | 7.90437 | 7.46287 | 7.94369 | 7.90813 | | 9.00 | 7.91949 | 7.49850 | 7.95951 | 7.92088 | | 9.15 | 7.93157 | 7.53205 | 7.97170 | 7.92914 | | 9.30 | 7.94065 | 7.56367 | 7.98111 | 7.93427 | | 9.45 | 7.94438 | 7.59349 | 7.98839 | 7.93731 | | 9.60 | 7.94527 | 7.62165 | 7.99406 | 7.93905 | | 9.75 | 7.94537 | 7.64826 | 7.99848 | 7.94001 | | 9.90 | 7.94537 | 7.67342 | 8.00194 | 7.94051 | | 10.00 | 7.94537 | 7.68945 | 8.00383 | 7.94070 |
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