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Advanced statistical analysis of epidemiological studies

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2 causes <strong>of</strong> death:<br />

In the competing risks model:<br />

P 00 (t) = Prob(alive time t)<br />

= exp(−<br />

∫ t<br />

0<br />

(h 1 (u) + h 2 (u))du).<br />

P 01 (t) = Prob(dead from cause 1 before time t) =<br />

∫ t<br />

0<br />

P 00 (u)h 1 (u)du<br />

<br />

0 u u + du t<br />

✲<br />

time<br />

16

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