# Struct rand_distr::Frechet

``````pub struct Frechet<F>where
F: Float,
OpenClosed01: Distribution<F>,{ /* private fields */ }``````
Expand description

The Fréchet distribution `Fréchet(α, μ, σ)`.

The Fréchet distribution is a continuous probability distribution with location parameter `μ` (`mu`), scale parameter `σ` (`sigma`), and shape parameter `α` (`alpha`). It describes the distribution of the maximum (or minimum) of a number of random variables. It is also known as the Type II extreme value distribution.

## §Density function

`f(x) = [(x - μ) / σ]^(-1 - α) exp[-(x - μ) / σ]^(-α) α / σ`

## §Plot

The plot shows the Fréchet distribution with various values of `μ`, `σ`, and `α`. Note how the location parameter `μ` shifts the distribution along the x-axis, the scale parameter `σ` stretches or compresses the distribution along the x-axis, and the shape parameter `α` changes the tail behavior.

## §Example

``````use rand::prelude::*;
use rand_distr::Frechet;

let val: f64 = thread_rng().sample(Frechet::new(0.0, 1.0, 1.0).unwrap());
println!("{}", val);``````

## Implementations§

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### impl<F> Frechet<F>where F: Float, OpenClosed01: Distribution<F>,

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

Construct a new `Frechet` distribution with given `location`, `scale`, and `shape`.

## Trait Implementations§

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### impl<F> Clone for Frechet<F>where F: Float + Clone, OpenClosed01: Distribution<F>,

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

Returns a copy of the value. Read more
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#### fn clone_from(&mut self, source: &Self)

Performs copy-assignment from `source`. Read more
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### impl<F> Debug for Frechet<F>where F: Float + Debug, OpenClosed01: Distribution<F>,

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#### fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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### impl<'de, F> Deserialize<'de> for Frechet<F>where F: Float + Deserialize<'de>, OpenClosed01: Distribution<F>,

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

Deserialize this value from the given Serde deserializer. Read more
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### impl<F> Distribution<F> for Frechet<F>where F: Float, OpenClosed01: Distribution<F>,

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#### fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> F

Generate a random value of `T`, using `rng` as the source of randomness.
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#### fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T> ⓘwhere R: Rng, Self: Sized,

Create an iterator that generates random values of `T`, using `rng` as the source of randomness. Read more
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#### fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>where F: Fn(T) -> S, Self: Sized,

Create a distribution of values of ‘S’ by mapping the output of `Self` through the closure `F` Read more
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### impl<F> PartialEq for Frechet<F>where F: Float + PartialEq, OpenClosed01: Distribution<F>,

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

Tests for `self` and `other` values to be equal, and is used by `==`.
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#### fn ne(&self, other: &Rhs) -> bool

Tests for `!=`. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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### impl<F> Serialize for Frechet<F>where F: Float + Serialize, OpenClosed01: Distribution<F>,

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#### fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>where __S: Serializer,

Serialize this value into the given Serde serializer. Read more
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## Blanket Implementations§

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### impl<T> Any for Twhere T: 'static + ?Sized,

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#### fn type_id(&self) -> TypeId

Gets the `TypeId` of `self`. Read more
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### impl<T> Borrow<T> for Twhere T: ?Sized,

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#### fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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### impl<T> BorrowMut<T> for Twhere T: ?Sized,

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

Mutably borrows from an owned value. Read more
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### impl<T> CloneToUninit for Twhere T: Clone,

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

🔬This is a nightly-only experimental API. (`clone_to_uninit`)
Performs copy-assignment from `self` to `dst`. Read more
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### impl<T> From<T> for T

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#### fn from(t: T) -> T

Returns the argument unchanged.

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### impl<T, U> Into<U> for Twhere U: From<T>,

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#### fn into(self) -> U

Calls `U::from(self)`.

That is, this conversion is whatever the implementation of `From<T> for U` chooses to do.

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

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#### type Owned = T

The resulting type after obtaining ownership.
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#### fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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#### fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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### impl<T, U> TryFrom<U> for Twhere U: Into<T>,

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#### type Error = Infallible

The type returned in the event of a conversion error.
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#### fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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### impl<T, U> TryInto<U> for Twhere U: TryFrom<T>,

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#### type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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#### fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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