Struct average::Kurtosis

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pub struct Kurtosis { /* private fields */ }
Available on crate features std or libm only.
Expand description

Estimate the arithmetic mean, the variance, the skewness and the kurtosis of a sequence of numbers (“population”).

This can be used to estimate the standard error of the mean.

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impl Kurtosis

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pub fn new() -> Kurtosis

Create a new kurtosis estimator.

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pub fn is_empty(&self) -> bool

Determine whether the sample is empty.

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pub fn mean(&self) -> f64

Estimate the mean of the population.

Returns NaN for an empty sample.

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pub fn len(&self) -> u64

Return the sample size.

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pub fn sample_variance(&self) -> f64

Calculate the sample variance.

This is an unbiased estimator of the variance of the population.

Returns NaN for samples of size 1 or less.

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pub fn population_variance(&self) -> f64

Calculate the population variance of the sample.

This is a biased estimator of the variance of the population.

Returns NaN for an empty sample.

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pub fn error_mean(&self) -> f64

Estimate the standard error of the mean of the population.

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pub fn skewness(&self) -> f64

Estimate the skewness of the population.

Returns NaN for an empty sample.

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pub fn kurtosis(&self) -> f64

Estimate the excess kurtosis of the population.

Returns NaN for an empty sample.

Trait Implementations§

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impl Clone for Kurtosis

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fn clone(&self) -> Kurtosis

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 Debug for Kurtosis

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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 Default for Kurtosis

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fn default() -> Kurtosis

Returns the “default value” for a type. Read more
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impl<'de> Deserialize<'de> for Kurtosis

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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 Estimate for Kurtosis

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fn add(&mut self, x: f64)

Add an observation sampled from the population.
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fn estimate(&self) -> f64

Estimate the statistic of the population.
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impl<'a> Extend<&'a f64> for Kurtosis

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fn extend<T>(&mut self, iter: T)
where T: IntoIterator<Item = &'a f64>,

Extends a collection with the contents of an iterator. Read more
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fn extend_one(&mut self, item: A)

🔬This is a nightly-only experimental API. (extend_one)
Extends a collection with exactly one element.
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fn extend_reserve(&mut self, additional: usize)

🔬This is a nightly-only experimental API. (extend_one)
Reserves capacity in a collection for the given number of additional elements. Read more
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impl Extend<f64> for Kurtosis

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fn extend<T>(&mut self, iter: T)
where T: IntoIterator<Item = f64>,

Extends a collection with the contents of an iterator. Read more
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fn extend_one(&mut self, item: A)

🔬This is a nightly-only experimental API. (extend_one)
Extends a collection with exactly one element.
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fn extend_reserve(&mut self, additional: usize)

🔬This is a nightly-only experimental API. (extend_one)
Reserves capacity in a collection for the given number of additional elements. Read more
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impl<'a> FromIterator<&'a f64> for Kurtosis

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fn from_iter<T>(iter: T) -> Kurtosis
where T: IntoIterator<Item = &'a f64>,

Creates a value from an iterator. Read more
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impl FromIterator<f64> for Kurtosis

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fn from_iter<T>(iter: T) -> Kurtosis
where T: IntoIterator<Item = f64>,

Creates a value from an iterator. Read more
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impl<'a> FromParallelIterator<&'a f64> for Kurtosis

Available on crate feature rayon only.
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fn from_par_iter<I>(par_iter: I) -> Kurtosis
where I: IntoParallelIterator<Item = &'a f64>, Self: Merge,

Creates an instance of the collection from the parallel iterator par_iter. Read more
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impl FromParallelIterator<f64> for Kurtosis

Available on crate feature rayon only.
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fn from_par_iter<I>(par_iter: I) -> Kurtosis
where I: IntoParallelIterator<Item = f64>, Self: Merge,

Creates an instance of the collection from the parallel iterator par_iter. Read more
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impl Merge for Kurtosis

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fn merge(&mut self, other: &Kurtosis)

Merge the other estimator into this one. Read more
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impl Serialize for Kurtosis

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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

Auto Trait Implementations§

Blanket Implementations§

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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<S, T> Cast<T> for S
where T: Conv<S>,

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fn cast(self) -> T

Cast from Self to T Read more
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fn try_cast(self) -> Result<T, Error>

Try converting from Self to T Read more
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impl<S, T> CastApprox<T> for S
where T: ConvApprox<S>,

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fn try_cast_approx(self) -> Result<T, Error>

Try approximate conversion from Self to T Read more
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fn cast_approx(self) -> T

Cast approximately from Self to T Read more
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impl<S, T> CastFloat<T> for S
where T: ConvFloat<S>,

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fn cast_trunc(self) -> T

Cast to integer, truncating Read more
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fn cast_nearest(self) -> T

Cast to the nearest integer Read more
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fn cast_floor(self) -> T

Cast the floor to an integer Read more
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fn cast_ceil(self) -> T

Cast the ceiling to an integer Read more
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fn try_cast_trunc(self) -> Result<T, Error>

Try converting to integer with truncation Read more
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fn try_cast_nearest(self) -> Result<T, Error>

Try converting to the nearest integer Read more
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fn try_cast_floor(self) -> Result<T, Error>

Try converting the floor to an integer Read more
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fn try_cast_ceil(self) -> Result<T, Error>

Try convert the ceiling to an integer 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> IntoEither for T

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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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impl<T> Pointable for T

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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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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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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<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,