Tables of multiple decrement transition probabilities can be useful, particularly in discrete models. Because of the importance of multi-decrement applications, special notation is sometimes used. Here is common notation used in the US and Canada.
Tables of multiple decrement transition probabilities can be useful, particularly in discrete models. Because of the importance of multi-decrement applications, special notation is sometimes used. Here is common notation used in the US and Canada.
| Notation | ||
| Concept | Multiple State | Multi-Decrement |
| Transition Probability | (_t p_x^{0j}) | (_t q_x^{(j)}) |
| Total Transition Probability | (_t p_x^{0bullet}) | (_t q_x^{(tau)}) |
| Survival Probability | (_t p_x^{00}) | (_t p_x^{(tau)}) |
| Transition Forces | (mu_{x+t}^{0j}) | (mu_{x+t}^{(j)}=mu_{x}^{(j)}(t)) |
| Total Transition Forces | (mu_{x+t}^{0bullet}) | (mu_{x+t}^{(tau)}=mu_{x}^{(tau)}(t)) |