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Mattias Villani
Professor of Statistics at Stockholm University
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Statistical distributions
By
Mattias Villani
Edited
Sep 30, 2023
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Kumaraswamy distribution
Statistical distributions
Bernoulli distribution
Beta distribution
Beta distribution (generalized three-parameter)
Beta distribution (generalized four-parameter)
Beta-Binomial distribution
Binomial distribution
Cauchy distribution
Chi2-distribution
Compound-Gamma distribution
Dirichlet Distribution
Exponential distribution
F-distribution
Generalized extreme value distribution
Geometric distribution
Gamma distribution
Gumbel distribution
Hypergeometric distribution
Inverse Gamma distribution
Inverse Gaussian (Wald) distribution
Kumaraswamy distribution
Laplace distribution
Logistic distribution
LogitNormal distribution
LogNormal distribution
Mixture of Normals distribution
Mixture of Poissons
Multivariate LogitNormal Distribution
Multivariate normal distribution
Negative binomial distribution
Non-central Chi2-distribution
Normal (Gaussian) distribution
Pareto distribution
Poisson distribution
Poisson-Gamma distribution
Pólya-Gamma distribution
Scaled inverse chi2 distribution
Skellam distribution
Skew-normal distribution
Split-Normal distribution
Split-t distribution
Student-t distribution (three-parameter)
Triangular distribution
Truncated Normal Distribution
Uniform distribution
von Mises distribution
Weibull distribution
Z-distribution
Zero-inflated Poisson distribution
Zipf distribution
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mathjs
=
require
(
'mathjs'
)
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pdf_func
=
function
(
x
,
mu
,
s
)
{
return
Math
.
exp
(
-
(
x
-
mu
)
/
s
)
/
(
(
s
*
(
1
+
Math
.
exp
(
-
(
x
-
mu
)
/
s
)
)
)
**
2
)
}
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cdf_func
=
function
(
x
,
mu
,
s
)
{
return
1
/
(
1
+
Math
.
exp
(
-
(
x
-
mu
)
/
s
)
)
}
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params
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dist_quantile
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moments
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jstat
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s
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quantile
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mean
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variance
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pdfdata
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