Distribution of curate future lifetime and model of life actuarial on credibility space

In order to make the life actuarial theoretical model more extensive and more effective, this paper based the basic concepts in the credibility space and the conclusion of the credibility distribution of a fuzzy variable takes value on interval, gives that distribution expressions of curtate future lifetime and model of curtate-expectation-of-lifein the credibility space, and deduced the model of actuarial present value for payable at the end of the year of death on the credibility space. The life actuarial theory was extended from probability space to credibility space which is more extensive than the former.