Struct rand_distr::StudentT

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pub struct StudentT<F>{ /* private fields */ }
Expand description

The Student t-distribution t(ν).

The t-distribution is a continuous probability distribution parameterized by degrees of freedom ν (nu), which arises when estimating the mean of a normally-distributed population in situations where the sample size is small and the population’s standard deviation is unknown. It is widely used in hypothesis testing.

For ν = 1, this is equivalent to the standard Cauchy distribution, and as ν diverges to infinity, t(ν) converges to StandardNormal.

§Plot

The plot shows the t-distribution with various degrees of freedom.

T-distribution

§Example

use rand_distr::{StudentT, Distribution};

let t = StudentT::new(11.0).unwrap();
let v = t.sample(&mut rand::thread_rng());
println!("{} is from a t(11) distribution", v)

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impl<F> StudentT<F>

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pub fn new(nu: F) -> Result<StudentT<F>, ChiSquaredError>

Create a new Student t-distribution with ν (nu) degrees of freedom.

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impl<F> Clone for StudentT<F>

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

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

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

This method 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 StudentT<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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impl<F> Copy for StudentT<F>

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impl<F> StructuralPartialEq for StudentT<F>

Auto Trait Implementations§

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

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

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

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

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

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impl<F> UnwindSafe for StudentT<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> 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<T> CloneToUninit for T
where T: Copy,

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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> CloneToUninit for T
where T: Clone,

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default 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 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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impl<T> ToOwned for T
where 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 T
where 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 T
where 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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impl<V, T> VZip<V> for T
where V: MultiLane<T>,

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fn vzip(self) -> V

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impl<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,