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Past exam of the mathematics course of the University of Cambridge
/
2022
/
ii
/
Paper 2
/
5J
/
a
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Mathematics course of the University of Cambridge
Past exam of the mathematics course of the University of Cambridge
2022
ii
Paper 2
5J
Created
2026-09-23
Updated
2026-09-24
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Solution
a
Solution
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a
A
one-
parameter
exponential family
has
densities
f
(
y
;
θ
)
=
h
(
y
)
exp
{
θT
(
y
)
−
A
(
θ
)}
,
(1)
with support independent of the
natural parameter
θ
. In the
present
canonical setting the natural statistic is
T
(
y
)
=
y
.
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5J
Paper 2
ii
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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