Struct statrs::distribution::Binomial

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pub struct Binomial { /* private fields */ }

Expand description

Implements the Binomial distribution

Examples

use statrs::distribution::{Binomial, Discrete};
use statrs::statistics::Distribution;

let n = Binomial::new(0.5, 5).unwrap();
assert_eq!(n.mean().unwrap(), 2.5);
assert_eq!(n.pmf(0), 0.03125);
assert_eq!(n.pmf(3), 0.3125);

Implementations

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impl Binomial

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pub fn new(p: f64, n: u64) -> Result<Binomial>

Constructs a new binomial distribution with a given p probability of success of n trials.

Errors

Returns an error if p is NaN, less than 0.0, greater than 1.0, or if n is less than 0

Examples

use statrs::distribution::Binomial;

let mut result = Binomial::new(0.5, 5);
assert!(result.is_ok());

result = Binomial::new(-0.5, 5);
assert!(result.is_err());

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pub fn p(&self) -> f64

Returns the probability of success p of the binomial distribution.

Examples

use statrs::distribution::Binomial;

let n = Binomial::new(0.5, 5).unwrap();
assert_eq!(n.p(), 0.5);

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pub fn n(&self) -> u64

Returns the number of trials n of the binomial distribution.

Examples

use statrs::distribution::Binomial;

let n = Binomial::new(0.5, 5).unwrap();
assert_eq!(n.n(), 5);

Trait Implementations

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impl Clone for Binomial

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fn clone(&self) -> Binomial

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 Binomial

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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 Discrete<u64, f64> for Binomial

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fn pmf(&self, x: u64) -> f64

Calculates the probability mass function for the binomial distribution at x

Formula

(n choose k) * p^k * (1 - p)^(n - k)

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fn ln_pmf(&self, x: u64) -> f64

Calculates the log probability mass function for the binomial distribution at x

Formula

ln((n choose k) * p^k * (1 - p)^(n - k))

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impl DiscreteCDF<u64, f64> for Binomial

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fn cdf(&self, x: u64) -> f64

Calculates the cumulative distribution function for the binomial distribution at x

Formula

I_(1 - p)(n - x, 1 + x)

where I_(x)(a, b) is the regularized incomplete beta function

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fn inverse_cdf(&self, p: T) -> K

Due to issues with rounding and floating-point accuracy the default implementation may be ill-behaved Specialized inverse cdfs should be used whenever possible. Read more

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impl Distribution<f64> for Binomial

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fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> f64

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,

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,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F Read more

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impl Distribution<f64> for Binomial

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fn mean(&self) -> Option<f64>

Returns the mean of the binomial distribution

Formula

p * n

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fn variance(&self) -> Option<f64>

Returns the variance of the binomial distribution

Formula

n * p * (1 - p)

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fn entropy(&self) -> Option<f64>

Returns the entropy of the binomial distribution

Formula

(1 / 2) * ln (2 * π * e * n * p * (1 - p))

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fn skewness(&self) -> Option<f64>

Returns the skewness of the binomial distribution

Formula

(1 - 2p) / sqrt(n * p * (1 - p)))

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fn std_dev(&self) -> Option<T>

Returns the standard deviation, if it exists. Read more

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impl Max<u64> for Binomial

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fn max(&self) -> u64

Returns the maximum value in the domain of the binomial distribution representable by a 64-bit integer

Formula

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impl Median<f64> for Binomial

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fn median(&self) -> f64

Returns the median of the binomial distribution

Formula

floor(n * p)

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impl Min<u64> for Binomial

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fn min(&self) -> u64

Returns the minimum value in the domain of the binomial distribution representable by a 64-bit integer

Formula

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impl Mode<Option<u64>> for Binomial

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fn mode(&self) -> Option<u64>

Returns the mode for the binomial distribution

Formula

floor((n + 1) * p)

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impl PartialEq<Binomial> for Binomial

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fn eq(&self, other: &Binomial) -> bool

This method tests for self and other values to be equal, and is used by ==. Read more

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fn ne(&self, other: &Binomial) -> bool

This method tests for !=.

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impl Copy for Binomial

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impl StructuralPartialEq for Binomial

Auto Trait Implementations

impl RefUnwindSafe for Binomial

impl Send for Binomial

impl Sync for Binomial

impl Unpin for Binomial

impl UnwindSafe for Binomial

Blanket Implementations

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

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pub 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,

const: unstable · source

pub 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,

const: unstable · source

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

Mutably borrows from an owned value. Read more

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impl<T> From<T> for T

const: unstable · source

pub fn from(t: T) -> T

Performs the conversion.

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impl<T, U> Into for T where
U: From<T>,

const: unstable · source

pub fn into(self) -> U

Performs the conversion.

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impl<T> Same<T> for T

type Output = T

Should always be Self

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impl<T> Scalar for T where
T: Copy + PartialEq<T> + Debug + Any,

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pub fn inlined_clone(&self) -> T

Performance hack: Clone doesn’t get inlined for Copy types in debug mode, so make it inline anyway.

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fn is<T>() -> bool where
T: Scalar,

Tests if Self the same as the type T Read more

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impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,

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pub fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more

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pub fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).

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pub fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.

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pub fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.

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impl<T> ToOwned for T where
T: Clone,

type Owned = T

The resulting type after obtaining ownership.

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pub fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more

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pub fn clone_into(&self, target: &mut T)

🔬 This is a nightly-only experimental API. (toowned_clone_into)

Uses borrowed data to replace owned data, usually by cloning. Read more

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impl<T, U> TryFrom for T where
U: Into<T>,

type Error = Infallible

The type returned in the event of a conversion error.

const: unstable · source

pub fn try_from(value: U) -> Result<T, <T as TryFrom>::Error>

Performs the conversion.

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impl<T, U> TryInto for T where
U: TryFrom<T>,

type Error = >::Error

The type returned in the event of a conversion error.

const: unstable · source

pub fn try_into(self) -> Result<U, >::Error>

Performs the conversion.

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

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Struct statrs::distribution::Binomial

Implementations

impl Binomial

pub fn new(p: f64, n: u64) -> Result<Binomial>

pub fn p(&self) -> f64

pub fn n(&self) -> u64

Trait Implementations

impl Clone for Binomial

fn clone(&self) -> Binomial

fn clone_from(&mut self, source: &Self)

impl Debug for Binomial

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

impl Discrete<u64, f64> for Binomial

fn pmf(&self, x: u64) -> f64

fn ln_pmf(&self, x: u64) -> f64

impl DiscreteCDF<u64, f64> for Binomial

fn cdf(&self, x: u64) -> f64

fn inverse_cdf(&self, p: T) -> K

impl Distribution<f64> for Binomial

fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> f64

fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T> where R: Rng,

fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S> where F: Fn(T) -> S,

impl Distribution<f64> for Binomial

fn mean(&self) -> Option<f64>

fn variance(&self) -> Option<f64>

fn entropy(&self) -> Option<f64>

fn skewness(&self) -> Option<f64>

fn std_dev(&self) -> Option<T>

impl Max<u64> for Binomial

fn max(&self) -> u64

impl Median<f64> for Binomial

fn median(&self) -> f64

impl Min<u64> for Binomial

fn min(&self) -> u64

impl Mode<Option<u64>> for Binomial

fn mode(&self) -> Option<u64>

impl PartialEq<Binomial> for Binomial

fn eq(&self, other: &Binomial) -> bool

fn ne(&self, other: &Binomial) -> bool

impl Copy for Binomial

impl StructuralPartialEq for Binomial

Auto Trait Implementations

impl RefUnwindSafe for Binomial

impl Send for Binomial

impl Sync for Binomial

impl Unpin for Binomial

impl UnwindSafe for Binomial

Blanket Implementations

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

pub fn type_id(&self) -> TypeId

impl<T> Borrow<T> for T where T: ?Sized,

pub fn borrow(&self) -> &T

impl<T> BorrowMut<T> for T where T: ?Sized,

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

impl<T> From<T> for T

pub fn from(t: T) -> T

impl<T, U> Into<U> for T where U: From<T>,

pub fn into(self) -> U

impl<T> Same<T> for T

type Output = T

impl<T> Scalar for T where T: Copy + PartialEq<T> + Debug + Any,

pub fn inlined_clone(&self) -> T

fn is<T>() -> bool where T: Scalar,

impl<SS, SP> SupersetOf<SS> for SP where SS: SubsetOf<SP>,

pub fn to_subset(&self) -> Option<SS>

pub fn is_in_subset(&self) -> bool

pub fn to_subset_unchecked(&self) -> SS

pub fn from_subset(element: &SS) -> SP

impl<T> ToOwned for T where T: Clone,

type Owned = T

pub fn to_owned(&self) -> T

pub fn clone_into(&self, target: &mut T)

impl<T, U> TryFrom<U> for T where U: Into<T>,

type Error = Infallible

pub fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

impl<T, U> TryInto<U> for T where U: TryFrom<T>,

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

pub fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

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

pub fn vzip(self) -> V

fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T> where
R: Rng,

fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S> where
F: Fn(T) -> S,

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

impl<T> Borrow<T> for T where
T: ?Sized,

impl<T> BorrowMut<T> for T where
T: ?Sized,

impl<T, U> Into<U> for T where
U: From<T>,

impl<T> Scalar for T where
T: Copy + PartialEq<T> + Debug + Any,

fn is<T>() -> bool where
T: Scalar,

impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,

impl<T> ToOwned for T where
T: Clone,

impl<T, U> TryFrom<U> for T where
U: Into<T>,

impl<T, U> TryInto<U> for T where
U: TryFrom<T>,

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