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Multiple Decrement Life Tables. Multiple Decrement Life Tables. More than one type of exit Types of exit are mutually exclusive and exhaustive “Competing risks”. Problems that MDLTs can address:. What is the probability that a 20 yr old will eventually die of heart disease?

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multiple decrement life tables2
Multiple Decrement Life Tables
  • More than one type of exit
  • Types of exit are mutually exclusive and exhaustive
      • “Competing risks”
problems that mdlts can address
Problems that MDLTs can address:
  • What is the probability that a 20 yr old will eventually die of heart disease?
  • How many years does cancer subtract from our life expectancy?
  • What would have been the effect of eliminating smallpox in 19th century UK?
cohort mdlt
Cohort MDLT
  • Example in text, p.74
creating a period mdlt see box 4 1 on p 77
Creating a period MDLT(See Box 4.1 on p. 77)
  • Prepare a basic life table
  • Take the nqx series from that table and apportion it to various causes of decrement
  • Compute the number of decrements from cause i in each interval

4. Compute the number of persons aged x* who will eventually leave the table from cause i.

notation
Notation

nqix = (n × nmix ) / {1 + (n-nax)(nmix + nmx-i)}

nqix = nqx × (nmix / nmx )

= nqx × (nDix / nDx)

ndix = nqix × lx

lix = Σ ndia

dependence
Dependence
  • nqix = (n × nmix ) / {1 + (n-nax)(nmix + nmx-i)}
  • Holding nmxi constant, the higher nmx-i is the lower nqxi will be.
    • When nmx-i is higher, more of the potential victims of i will be carried off by other causes in the interval.
what if
What if?
  • Associated single decrement life tables
    • Cause-deleted life tables
    • Section 4.4 provides detailed description of pros and cons of various approaches
  • BOX 4.2, p. 85
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