Template:Standard actuarial method

Standard Actuarial Method
The standard actuarial model is a variation of the simple actuarial model that involves adjusting the value for the number of operating units in an interval. The Kaplan-Meier and simple actuarial methods assume that the suspensions in a time period or interval occur at the end of that interval, after the failures have occurred. The standard actuarial model assumes that the suspensions occur in the middle of the interval, which has the effect of reducing the number of available units in the interval by half of the suspensions in that interval or:


 * $$n_{i}^{\prime }={{n}_{i}}-\frac{2}$$

With this adjustment, the calculations are carried out just as they were for the simple actuarial model or:


 * $$\widehat{R}({{t}_{i}})=\underset{j=1}{\overset{i}{\mathop \prod }}\,\left( 1-\frac{n_{j}^{\prime }} \right),\text{ }i=1,...,m$$

Example 3: