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Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 207
/
5
/
a
/
ii
/
Solution
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2022
iii
Paper 207
5
a
ii
2026-09-28
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With common fixed censoring
time
c
, the ordering is known exactly when the earlier
event
occurs by
c
; continuity makes ties have
probability
zero. Thus the informative
event
is
{
min
(
T
1
,
T
2
)
≤
c
}
and
P
(
T
1
<
T
2
∣
informative
)
=
1
−
F
1
(
c
)
F
2
(
c
)
∫
0
c
f
1
(
t
)
F
2
(
t
)
d
t
.
(1)
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ii
a
5
Paper 207
iii
2022
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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