A frequent force of mortality used in actuarial science is λ(w) = aebw + c. Find the cdf and pdf associated with this Makeham’s law.

Answer:

Step 1 of 1 :

Since a frequent force of mortality used in actuarial science is

Our goal is to find

The cdf and pdf associated with this Makeham’s law.

Now we have to find the conditional distribution function and probability distribution function

We know that

The function H will be given by,

Therefore

Here