Gumbel

scirs2_core::ndarray::distributions

Struct Gumbel 

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

The Gumbel distribution Gumbel(μ, β).

The Gumbel distribution is a continuous probability distribution with location parameter μ (mu) and scale parameter β (beta). It is used to model the distribution of the maximum (or minimum) of a number of samples of various distributions.

§Density function

f(x) = exp(-(z + exp(-z))) / β, where z = (x - μ) / β.

§Plot

The following plot illustrates the Gumbel distribution with various values of μ and β. Note how the location parameter μ shifts the distribution along the x-axis, and the scale parameter β changes the density around μ. Note also the asymptotic behavior of the distribution towards the right.

Gumbel distribution

§Example

use rand::prelude::*;
use rand_distr::Gumbel;

let val: f64 = rand::rng().sample(Gumbel::new(0.0, 1.0).unwrap());
println!("{}", val);

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impl<F> Gumbel<F>
where F: Float, OpenClosed01: Distribution<F>,

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pub fn new(location: F, scale: F) -> Result<Gumbel<F>, Error>

Construct a new Gumbel distribution with given location and scale.

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

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fn clone(&self) -> Gumbel<F>

Returns a duplicate 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 Gumbel<F>
where F: Debug + Float, OpenClosed01: Distribution<F>,

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

Formats the value using the given formatter. Read more
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impl<F> Distribution<F> for Gumbel<F>
where F: Float, OpenClosed01: Distribution<F>,

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

Generate a random value of T, using rng as the source of randomness.
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fn sample_iter<R>(self, rng: R) -> Iter<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) -> Map<Self, F, T, S>
where F: Fn(T) -> S, Self: Sized,

Map sampled values to type S Read more
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impl<F> PartialEq for Gumbel<F>
where F: PartialEq + Float, OpenClosed01: Distribution<F>,

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fn eq(&self, other: &Gumbel<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> Copy for Gumbel<F>
where F: Copy + Float, OpenClosed01: Distribution<F>,

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impl<F> StructuralPartialEq for Gumbel<F>
where F: Float, OpenClosed01: Distribution<F>,

Auto Trait Implementations§

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impl<F> Freeze for Gumbel<F>
where F: Freeze,

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impl<F> RefUnwindSafe for Gumbel<F>
where F: RefUnwindSafe,

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impl<F> Send for Gumbel<F>
where F: Send,

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impl<F> Sync for Gumbel<F>
where F: Sync,

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impl<F> Unpin for Gumbel<F>
where F: Unpin,

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impl<F> UnwindSafe for Gumbel<F>
where F: UnwindSafe,

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impl<T> Any for T
where 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> Az for T

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fn az<Dst>(self) -> Dst
where T: Cast<Dst>,

Casts the value.
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impl<T> Borrow<T> for T
where 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 T
where 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<Src, Dst> CastFrom<Src> for Dst
where Src: Cast<Dst>,

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fn cast_from(src: Src) -> Dst

Casts the value.
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impl<T> CheckedAs for T

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fn checked_as<Dst>(self) -> Option<Dst>
where T: CheckedCast<Dst>,

Casts the value.
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impl<Src, Dst> CheckedCastFrom<Src> for Dst
where Src: CheckedCast<Dst>,

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fn checked_cast_from(src: Src) -> Option<Dst>

Casts the value.
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<D, T> DistributionExt<T> for D
where D: Distribution<T>,

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fn random_array<R: Rng, Dim: Dimension>( &self, rng: &mut Random<R>, shape: Dim, ) -> Array<T, Dim>
where Self: Copy,

Create a random array with values from this distribution
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fn sample_vec<R: Rng>(&self, rng: &mut Random<R>, size: usize) -> Vec<T>
where Self: Copy,

Create a random vector with values from this distribution
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impl<T> Downcast<T> for T

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fn downcast(&self) -> &T

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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> Instrument for T

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fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided Span, returning an Instrumented wrapper. Read more
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Instruments this type with the current Span, returning an Instrumented wrapper. Read more
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impl<T, U> Into<U> for T
where 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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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn overflowing_as<Dst>(self) -> (Dst, bool)
where T: OverflowingCast<Dst>,

Casts the value.
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where Src: OverflowingCast<Dst>,

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fn overflowing_cast_from(src: Src) -> (Dst, bool)

Casts the value.
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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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Dereferences the given pointer. Read more
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Mutably dereferences the given pointer. Read more
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where T: ?Sized,

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where T: Policy<B, E>, P: Policy<B, E>,

Create a new Policy that returns Action::Follow only if self and other return Action::Follow. Read more
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where T: Policy<B, E>, P: Policy<B, E>,

Create a new Policy that returns Action::Follow if either self or other returns Action::Follow. Read more
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type Output = T

Should always be Self
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fn saturating_as<Dst>(self) -> Dst
where T: SaturatingCast<Dst>,

Casts the value.
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impl<Src, Dst> SaturatingCastFrom<Src> for Dst
where Src: SaturatingCast<Dst>,

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fn saturating_cast_from(src: Src) -> Dst

Casts the value.
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where SS: SubsetOf<SP>,

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Checks if self is actually part of its subset T (and can be converted to it).
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Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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where T: Clone,

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where T: UnwrappedCast<Dst>,

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where Src: UnwrappedCast<Dst>,

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Casts the value.
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where T: WrappingCast<Dst>,

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