The application of the multivariable life model based on Common Shock

Considering that independent condition´s limitation of two-dimensional life model, in this paper we make a research and obtain the result of n-dimensional (n>;2) life model under the Common Shock model. On the base of the model mentioned above, we give the findings of wholesale payment net premium of dead end and the actuarial present value of life annuity. Meanwhile, we would like to extend the model to n-dimensional life model by a plurality of random shocks. In the end, we give the simple application and convenient calculation of the model. The model is realistic and with the value of promotion.