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Joined 2026-09-21
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Maximum-likelihood fitted probability
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Multinomial likelihood
Created
2026-09-29
Updated
2026-10-06
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For
category
counts
y
1
,
…
,
y
k
with fixed total
n
and
probabilities
p
1
,
…
,
p
k
, the
multinomial likelihood
is
L
(
p
1
,
…
,
p
k
)
=
∏
j
y
j
!
n
!
∏
j
p
j
y
j
,
∑
j
p
j
=
1.
(1)
Its
maximum-likelihood fitted probabilities
are
p
j
=
y
j
/
n
.
Total
articles
:
1