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Statistics.cpp
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Created
Tue, Apr 23, 17:12
Size
1 KB
Mime Type
text/x-c
Expires
Thu, Apr 25, 17:12 (2 d)
Engine
blob
Format
Raw Data
Handle
17215234
Attached To
R8820 scATAC-seq
Statistics.cpp
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#include <Statistics.hpp>
#include <cmath>
// M_PI, pow(), sqrt(), log(), lgamma()
#include <boost/math/distributions.hpp>
// beta_distribution
#include <boost/random.hpp>
double
normal_pmf
(
double
x
,
double
mean
,
double
sd
)
{
static
double
pi_2
=
2.
*
M_PI
;
return
(
1.
/
(
sd
*
sqrt
(
pi_2
)
))
*
exp
(
-
0.5
*
pow
((
x
-
mean
)
/
sd
,
2.0
)
);
}
double
poisson_pmf
(
int
x
,
double
lambda
)
{
if
((
x
!=
0
)
and
(
lambda
==
0
))
{
return
0.
;
}
else
if
((
x
==
0
)
and
(
lambda
==
0
))
{
return
1.
;
}
// if(x + lambda == 0)
// { return 1. ; }
return
exp
(
x
*
log
(
lambda
)
-
lgamma
(
x
+
1.0
)
-
lambda
);
}
double
poisson_cdf
(
int
x
,
double
lambda
,
bool
lower_tail
)
{
double
prob
=
1.
;
if
(
lambda
!=
0
)
{
boost
::
math
::
poisson_distribution
<>
pois_dist
(
lambda
)
;
prob
=
cdf
(
pois_dist
,
x
)
;
}
// prob of an observation as big as x
if
(
lower_tail
)
{
return
prob
;
}
// prob of an observation at least as big as x (pvalue)
else
{
return
1
-
prob
;
}
}
double
beta_pmf
(
double
x
,
double
alpha
,
double
beta
)
{
boost
::
math
::
beta_distribution
<>
beta_dist
(
alpha
,
beta
)
;
double
y
=
quantile
(
beta_dist
,
x
)
;
return
y
;
}
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