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Past exam of the mathematics course of the University of Cambridge
/
2015
/
iii
/
Paper 35
/
7
/
3
/
Solution
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Past exam of the mathematics course of the University of Cambridge
2015
iii
Paper 35
7
3
Created
2026-10-03
Updated
2026-10-06
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Integrate the type-
A
first
-
event
density
from zero to
t
.
The type-
A
cumulative incidence is
F
A
(
t
)
=
Pr
(
T
≤
t
,
J
=
A
)
=
∫
0
t
α
e
−
(
α
+
β
)
u
d
u
=
α
+
β
α
(
1
−
e
−
(
α
+
β
)
t
)
.
(1)
This is the
cumulative incidence function
in the
competing risks model
, distinct from the hypothetical
net
risk
1
−
e
−
α
t
obtained by removing
B
.
Ancestors
(11)
3
7
Paper 35
iii
2015
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
University of Cambridge
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