الفهرس 
IntroductionOnly 14 pages are availabe for public view
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Abstract
The statistical and actuarial studies indicate that the mortality rates improve continuously in the twentieth century, also all of these studies indicate that; there is an observable improvement in the life expectation in the developing countries. The survival function and the mortality rates functions were derived, consequently, the mortality probability functions. It was found that the MakehamGompertz mortality distribution and the truncated extreme value distribution have the same hazard rate function. We used the hazard rate function derived from these distributions to find the actuarial functions. The actuarial Egyptian experience data was used to calculate these actuarial functions. Lagrangian interpolation method was used to smooth the actual data. It was established that all the values of the actuarial functions or the differences between the values of these functions from two life tables can be approximated from the values at a few ages with sufficient accuracy, it was found that it would be possible (for practical purpose) to replace hypothesis relating to differences between the values from two life tables at all ages (in a certain range) by hypothesis relating to differences at just few ages. This chapter also, examines methods of approximating these functions. Methods for determining whether the life table being used by an insurance company is adequate in this respect was established. That is the actuarial function calculated using standard life table are sufficiently close to those based on the current mortality experience of lives insured by the company. Also, how these functions are sufficiently close to those based on the selected hazard rate function.The main finding in this thesis, is that the interpolated mortality rate experience and the interpolated suggested rate function are very close, and thus it may be concluded that the insurance company could use the standard life table AM92 and we recommended not to use A49 life table.