# Struct rand_distr::StudentT

source · `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.

## §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)
```

## Implementations§

## Trait Implementations§

source§### impl<F> Clone for StudentT<F>where
F: Float + Clone,
StandardNormal: Distribution<F>,
Exp1: Distribution<F>,
Open01: Distribution<F>,

### impl<F> Clone for StudentT<F>where
F: Float + Clone,
StandardNormal: Distribution<F>,
Exp1: Distribution<F>,
Open01: Distribution<F>,

source§### impl<F> Debug for StudentT<F>where
F: Float + Debug,
StandardNormal: Distribution<F>,
Exp1: Distribution<F>,
Open01: Distribution<F>,

### impl<F> Debug for StudentT<F>where
F: Float + Debug,
StandardNormal: Distribution<F>,
Exp1: Distribution<F>,
Open01: Distribution<F>,

source§### impl<'de, F> Deserialize<'de> for StudentT<F>where
F: Float + Deserialize<'de>,
StandardNormal: Distribution<F>,
Exp1: Distribution<F>,
Open01: Distribution<F>,

### impl<'de, F> Deserialize<'de> for StudentT<F>where
F: Float + Deserialize<'de>,
StandardNormal: Distribution<F>,
Exp1: Distribution<F>,
Open01: Distribution<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>,

Deserialize this value from the given Serde deserializer. Read more

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

### impl<F> Distribution<F> for StudentT<F>

source§### impl<F> PartialEq for StudentT<F>where
F: Float + PartialEq,
StandardNormal: Distribution<F>,
Exp1: Distribution<F>,
Open01: Distribution<F>,

### impl<F> PartialEq for StudentT<F>where
F: Float + PartialEq,
StandardNormal: Distribution<F>,
Exp1: Distribution<F>,
Open01: Distribution<F>,

source§### impl<F> Serialize for StudentT<F>where
F: Float + Serialize,
StandardNormal: Distribution<F>,
Exp1: Distribution<F>,
Open01: Distribution<F>,

### impl<F> Serialize for StudentT<F>where
F: Float + Serialize,
StandardNormal: Distribution<F>,
Exp1: Distribution<F>,
Open01: Distribution<F>,

### impl<F> Copy for StudentT<F>where
F: Float + Copy,
StandardNormal: Distribution<F>,
Exp1: Distribution<F>,
Open01: Distribution<F>,

### impl<F> StructuralPartialEq for StudentT<F>

## Auto Trait Implementations§

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

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

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

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

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

### impl<F> UnwindSafe for StudentT<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

Mutably borrows from an owned value. Read more

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)

🔬This is a nightly-only experimental API. (

`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)

🔬This is a nightly-only experimental API. (

`clone_to_uninit`

)