18.1 Lognormal distribution
18.1.1 Probability density function
If μ∈R and σ∈R+, then for y∈R+, LogNormal(y|μ,σ)=1√2π σ1y exp(−12(logy−μσ)2).
18.1.2 Sampling statement
y ~
lognormal
(mu, sigma)
Increment target log probability density with lognormal_lupdf(y | mu, sigma)
.
Available since 2.0
18.1.3 Stan functions
real
lognormal_lpdf
(reals y | reals mu, reals sigma)
The log of the lognormal density of y given location mu and scale
sigma
Available since 2.12
real
lognormal_lupdf
(reals y | reals mu, reals sigma)
The log of the lognormal density of y given location mu and scale
sigma dropping constant additive terms
Available since 2.25
real
lognormal_cdf
(reals y, reals mu, reals sigma)
The cumulative lognormal distribution function of y given location mu
and scale sigma
Available since 2.0
real
lognormal_lcdf
(reals y | reals mu, reals sigma)
The log of the lognormal cumulative distribution function of y given
location mu and scale sigma
Available since 2.12
real
lognormal_lccdf
(reals y | reals mu, reals sigma)
The log of the lognormal complementary cumulative distribution
function of y given location mu and scale sigma
Available since 2.12
R
lognormal_rng
(reals mu, reals sigma)
Generate a lognormal variate with location mu and scale sigma; may
only be used in transformed data and generated quantities blocks.
For a description of argument and return types, see section
vectorized PRNG functions.
Available since 2.22