# Struct rand_distr::SkewNormal

source · `pub struct SkewNormal<F>{ /* private fields */ }`

## Expand description

The skew normal distribution `SN(ξ, ω, α)`

.

The skew normal distribution is a generalization of the
`Normal`

distribution to allow for non-zero skewness.
It has location parameter `ξ`

(`xi`

), scale parameter `ω`

(`omega`

),
and shape parameter `α`

(`alpha`

).

The `ξ`

and `ω`

parameters correspond to the mean `μ`

and standard
deviation `σ`

of the normal distribution, respectively.
The `α`

parameter controls the skewness.

## §Density function

It has the density function, for `scale > 0`

,
`f(x) = 2 / scale * phi((x - location) / scale) * Phi(alpha * (x - location) / scale)`

where `phi`

and `Phi`

are the density and distribution of a standard normal variable.

## §Plot

The following plot shows the skew normal distribution with `location = 0`

, `scale = 1`

(corresponding to the `standard normal distribution`

), and
various values of `shape`

.

## §Example

```
use rand_distr::{SkewNormal, Distribution};
// location 2, scale 3, shape 1
let skew_normal = SkewNormal::new(2.0, 3.0, 1.0).unwrap();
let v = skew_normal.sample(&mut rand::thread_rng());
println!("{} is from a SN(2, 3, 1) distribution", v)
```

## §Implementation details

We are using the algorithm from A Method to Simulate the Skew Normal Distribution.

## Implementations§

source§### impl<F> SkewNormal<F>

### impl<F> SkewNormal<F>

source#### pub fn new(location: F, scale: F, shape: F) -> Result<SkewNormal<F>, Error>

#### pub fn new(location: F, scale: F, shape: F) -> Result<SkewNormal<F>, Error>

Construct, from location, scale and shape.

Parameters:

- location (unrestricted)
- scale (must be finite and larger than zero)
- shape (must be finite)

## Trait Implementations§

source§### impl<F> Clone for SkewNormal<F>

### impl<F> Clone for SkewNormal<F>

source§#### fn clone(&self) -> SkewNormal<F>

#### fn clone(&self) -> SkewNormal<F>

1.0.0 · source§#### fn clone_from(&mut self, source: &Self)

#### fn clone_from(&mut self, source: &Self)

`source`

. Read moresource§### impl<F> Debug for SkewNormal<F>

### impl<F> Debug for SkewNormal<F>

source§### impl<'de, F> Deserialize<'de> for SkewNormal<F>

### impl<'de, F> Deserialize<'de> for SkewNormal<F>

source§#### fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>where
__D: Deserializer<'de>,

#### fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>where
__D: Deserializer<'de>,

source§### impl<F> Distribution<F> for SkewNormal<F>

### impl<F> Distribution<F> for SkewNormal<F>

source§### impl<F> PartialEq for SkewNormal<F>

### impl<F> PartialEq for SkewNormal<F>

source§#### fn eq(&self, other: &SkewNormal<F>) -> bool

#### fn eq(&self, other: &SkewNormal<F>) -> bool

`self`

and `other`

values to be equal, and is used
by `==`

.source§### impl<F> Serialize for SkewNormal<F>

### impl<F> Serialize for SkewNormal<F>

### impl<F> Copy for SkewNormal<F>

### impl<F> StructuralPartialEq for SkewNormal<F>

## Auto Trait Implementations§

### impl<F> Freeze for SkewNormal<F>where
F: Freeze,

### impl<F> RefUnwindSafe for SkewNormal<F>where
F: RefUnwindSafe,

### impl<F> Send for SkewNormal<F>where
F: Send,

### impl<F> Sync for SkewNormal<F>where
F: Sync,

### impl<F> Unpin for SkewNormal<F>where
F: Unpin,

### impl<F> UnwindSafe for SkewNormal<F>where
F: UnwindSafe,

## Blanket Implementations§

source§### impl<T> BorrowMut<T> for Twhere
T: ?Sized,

### impl<T> BorrowMut<T> for Twhere
T: ?Sized,

source§#### fn borrow_mut(&mut self) -> &mut T

#### fn borrow_mut(&mut self) -> &mut T

source§### impl<T> CloneToUninit for Twhere
T: Copy,

### impl<T> CloneToUninit for Twhere
T: Copy,

source§#### unsafe fn clone_to_uninit(&self, dst: *mut T)

#### unsafe fn clone_to_uninit(&self, dst: *mut T)

`clone_to_uninit`

)source§### impl<T> CloneToUninit for Twhere
T: Clone,

### impl<T> CloneToUninit for Twhere
T: Clone,

source§#### default unsafe fn clone_to_uninit(&self, dst: *mut T)

#### default unsafe fn clone_to_uninit(&self, dst: *mut T)

`clone_to_uninit`

)