Struct statrs::distribution::LogNormal [−][src]
pub struct LogNormal { /* fields omitted */ }
Expand description
Implements the Log-normal distribution
Examples
use statrs::distribution::{LogNormal, Continuous}; use statrs::statistics::Distribution; use statrs::prec; let n = LogNormal::new(0.0, 1.0).unwrap(); assert_eq!(n.mean().unwrap(), (0.5f64).exp()); assert!(prec::almost_eq(n.pdf(1.0), 0.3989422804014326779399, 1e-16));
Implementations
impl LogNormal
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impl LogNormal
[src]pub fn new(location: f64, scale: f64) -> Result<LogNormal>
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pub fn new(location: f64, scale: f64) -> Result<LogNormal>
[src]Constructs a new log-normal distribution with a location of location
and a scale of scale
Errors
Returns an error if location
or scale
are NaN
.
Returns an error if scale <= 0.0
Examples
use statrs::distribution::LogNormal; let mut result = LogNormal::new(0.0, 1.0); assert!(result.is_ok()); result = LogNormal::new(0.0, 0.0); assert!(result.is_err());
Trait Implementations
impl Continuous<f64, f64> for LogNormal
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impl Continuous<f64, f64> for LogNormal
[src]impl ContinuousCDF<f64, f64> for LogNormal
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impl ContinuousCDF<f64, f64> for LogNormal
[src]fn cdf(&self, x: f64) -> f64
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fn cdf(&self, x: f64) -> f64
[src]Calculates the cumulative distribution function for the log-normal
distribution
at x
Formula
(1 / 2) + (1 / 2) * erf((ln(x) - μ) / sqrt(2) * σ)
where μ
is the location, σ
is the scale, and erf
is the
error function
fn inverse_cdf(&self, p: T) -> K
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fn inverse_cdf(&self, p: T) -> K
[src]Due to issues with rounding and floating-point accuracy the default
implementation may be ill-behaved.
Specialized inverse cdfs should be used whenever possible.
Performs a binary search on the domain of cdf
to obtain an approximation
of F^-1(p) := inf { x | F(x) >= p }
. Needless to say, performance may
may be lacking. Read more
impl Distribution<f64> for LogNormal
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impl Distribution<f64> for LogNormal
[src]fn mean(&self) -> Option<f64>
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fn mean(&self) -> Option<f64>
[src]Returns the mean of the log-normal distribution
Formula
e^(μ + σ^2 / 2)
where μ
is the location and σ
is the scale
fn variance(&self) -> Option<f64>
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fn variance(&self) -> Option<f64>
[src]Returns the variance of the log-normal distribution
Formula
(e^(σ^2) - 1) * e^(2μ + σ^2)
where μ
is the location and σ
is the scale
fn entropy(&self) -> Option<f64>
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fn entropy(&self) -> Option<f64>
[src]Returns the entropy of the log-normal distribution
Formula
ln(σe^(μ + 1 / 2) * sqrt(2π))
where μ
is the location and σ
is the scale
impl Distribution<f64> for LogNormal
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impl Distribution<f64> for LogNormal
[src]fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> f64
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fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> f64
[src]Generate a random value of T
, using rng
as the source of randomness.
fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T> where
R: Rng,
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fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T> where
R: Rng,
[src]Create an iterator that generates random values of T
, using rng
as
the source of randomness. Read more
impl Copy for LogNormal
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impl StructuralPartialEq for LogNormal
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Auto Trait Implementations
impl RefUnwindSafe for LogNormal
impl Send for LogNormal
impl Sync for LogNormal
impl Unpin for LogNormal
impl UnwindSafe for LogNormal
Blanket Implementations
impl<T> BorrowMut<T> for T where
T: ?Sized,
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impl<T> BorrowMut<T> for T where
T: ?Sized,
[src]pub fn borrow_mut(&mut self) -> &mut T
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pub fn borrow_mut(&mut self) -> &mut T
[src]Mutably borrows from an owned value. Read more
impl<T> Same<T> for T
impl<T> Same<T> for T
type Output = T
type Output = T
Should always be Self
impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,
impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,
pub fn to_subset(&self) -> Option<SS>
pub fn to_subset(&self) -> Option<SS>
The inverse inclusion map: attempts to construct self
from the equivalent element of its
superset. Read more
pub fn is_in_subset(&self) -> bool
pub fn is_in_subset(&self) -> bool
Checks if self
is actually part of its subset T
(and can be converted to it).
pub fn to_subset_unchecked(&self) -> SS
pub fn to_subset_unchecked(&self) -> SS
Use with care! Same as self.to_subset
but without any property checks. Always succeeds.
pub fn from_subset(element: &SS) -> SP
pub fn from_subset(element: &SS) -> SP
The inclusion map: converts self
to the equivalent element of its superset.
impl<T> ToOwned for T where
T: Clone,
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impl<T> ToOwned for T where
T: Clone,
[src]type Owned = T
type Owned = T
The resulting type after obtaining ownership.
pub fn to_owned(&self) -> T
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pub fn to_owned(&self) -> T
[src]Creates owned data from borrowed data, usually by cloning. Read more
pub fn clone_into(&self, target: &mut T)
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pub fn clone_into(&self, target: &mut T)
[src]🔬 This is a nightly-only experimental API. (toowned_clone_into
)
recently added
Uses borrowed data to replace owned data, usually by cloning. Read more
impl<V, T> VZip<V> for T where
V: MultiLane<T>,
impl<V, T> VZip<V> for T where
V: MultiLane<T>,