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Mattias Villani
Professor of Statistics at Stockholm University
Workspace
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Public
Statistical distributions
By
Mattias Villani
Edited
Mar 15
Fork of
Binomial distribution
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betabinomPDF
=
function
(
x
,
n
,
alpha
,
beta
)
{
return
jstat
.
combination
(
n
,
x
)
*
jstat
.
betafn
(
x
+
alpha
,
n
-
x
+
beta
)
/
jstat
.
betafn
(
alpha
,
beta
)
}
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n
=
params
[
0
]
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alpha
=
params
[
1
]
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mean
=
n
*
alpha
/
(
alpha
+
beta
)
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variance
=
n
*
alpha
*
beta
*
(
alpha
+
beta
+
n
)
/
(
(
alpha
+
beta
)
**
2
*
(
alpha
+
beta
+
1
)
)
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cdf
=
d3
.
sum
(
pdfdata
.
filter
(
d
=>
d
.
x
<=
quantile
)
.
map
(
d
=>
d
.
pdf
)
)
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params
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quantile
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n
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alpha
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beta
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pdfdata
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mean
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variance
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cdf
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