1. Examples of Multiple Decrement Models

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Multiple Decrement Models

1. Examples of Multiple Decrement Models

Special Case 1. Cause-Specific Death Model

Special Case 2. Pension Plan Termination and Retirement Model

2. Mutliple Decrement Probabilities

3. Multiple Decrement Tables

4. Fractional Age Assumptions

5. Associated Single Decrement Models

6. Building Mult-Decrement Tables from Associated Single Life Functions

1. Examples of Multiple Decrement Models

Multiple decrement models can be formulated as a special case of multiple state models. As with a multiple state model, we consider a life aged

$x$ who, at time point

$t$ (age

$x+t$ ) is in one of

$n+1$ potential outcomes,

$0,1, \ldots, n$ . Specifically, we let

$Y(t)$ (sometimes denoted as

$Y(x+t)$ ) be a categorical random variable with potential outcomes

$0,1, \ldots, n$ .

In a multiple decrement model, we start in state 0 but all other states are absorbing states, where it is not possible to leave.

Figure 1. Multidecrement Model as a MultiState Representation.

Both the ``Alive-Dead'' and the ``Accidental Death'' Models are special cases of multiple decrement models. For some other special cases, consider the following.

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