[−][src]Struct mathru::statistics::distrib::Normal
Normal distribution
Fore more information: https://en.wikipedia.org/wiki/Normal_distribution
Implementations
impl<T> Normal<T> where
T: Real,
[src]
T: Real,
pub fn new(mean: T, variance: T) -> Self
[src]
Creates a probability distribution
Arguments
mean
: Expected valuevariance
: variance > 0.0
Panics
if variance <= 0.0
Example
use mathru::statistics::distrib::Normal; let distrib: Normal<f64> = Normal::new(0.3, 0.2);
pub fn from_data<'a>(data: &'a Vec<T>) -> Self
[src]
It is assumed that data are normal distributed.
data.len() >= 2
Trait Implementations
impl<T: Clone> Clone for Normal<T>
[src]
impl<T> Continuous<T> for Normal<T> where
T: Real + Gamma + Error,
[src]
T: Real + Gamma + Error,
pub fn pdf(&self, x: T) -> T
[src]
Probability density function
Arguments
x
: x ∈ ℕ
Example
use mathru::statistics::distrib::{Continuous, Normal}; let distrib: Normal<f64> = Normal::new(0.3, 0.2); let x: f64 = 5.0; let p: f64 = distrib.pdf(x);
pub fn cdf(&self, x: T) -> T
[src]
Cumulative distribution function
Arguments
x
:
Example
use mathru::statistics::distrib::{Continuous, Normal}; let distrib: Normal<f64> = Normal::new(0.3, 0.2); let x: f64 = 0.4; let p: f64 = distrib.cdf(x);
pub fn quantile(&self, p: T) -> T
[src]
Quantile: function of inverse cdf
The Percentage Points of the Normal Distribution Author(s): Michael J. Wichura Year 1988 Journal of the Royal Statistical Society 0.0 < p < 1.0
Panics
if p <= 0.0 || p >= 1.0
pub fn mean(&self) -> T
[src]
Expected value
Example
use mathru::{ self, statistics::distrib::{Continuous, Normal}, }; let distrib: Normal<f64> = Normal::new(0.0, 0.2); let mean: f64 = distrib.mean();
pub fn variance(&self) -> T
[src]
Variance
Example
use mathru::{ self, statistics::distrib::{Continuous, Normal}, }; let distrib: Normal<f64> = Normal::new(0.0, 0.2); let var: f64 = distrib.variance();
pub fn skewness(&self) -> T
[src]
Skewness
Example
use mathru::{ self, statistics::distrib::{Continuous, Normal}, }; let mean: f64 = 1.0; let variance: f64 = 0.5; let distrib: Normal<f64> = Normal::new(mean, variance); assert_eq!(0.0, distrib.skewness());
pub fn median(&self) -> T
[src]
Median
Example
use mathru::{ self, statistics::distrib::{Continuous, Normal}, }; let mean: f64 = 0.0; let distrib: Normal<f64> = Normal::new(mean, 0.2); let median: f64 = distrib.median();
pub fn entropy(&self) -> T
[src]
Entropy
Example
use mathru::{ self, statistics::distrib::{Continuous, Normal}, }; use std::f64::consts::{E, PI}; let mean: f64 = 1.0; let variance: f64 = 0.5; let distrib: Normal<f64> = Normal::new(mean, variance); let entropy: f64 = distrib.entropy();
impl<T: Copy> Copy for Normal<T>
[src]
impl<T: Debug> Debug for Normal<T>
[src]
impl<'de, T> Deserialize<'de> for Normal<T> where
T: Deserialize<'de>,
[src]
T: Deserialize<'de>,
pub fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error> where
__D: Deserializer<'de>,
[src]
__D: Deserializer<'de>,
impl<T> Distribution<T> for Normal<T> where
T: Real,
[src]
T: Real,
pub fn random(&self) -> T
[src]
See Knuth The Art of Computer Programming Vol 2 3.4.1 C Algorithm P
pub fn random_sequence(&self, size: u32) -> Vec<T>
[src]
impl<T> Serialize for Normal<T> where
T: Serialize,
[src]
T: Serialize,
Auto Trait Implementations
impl<T> RefUnwindSafe for Normal<T> where
T: RefUnwindSafe,
T: RefUnwindSafe,
impl<T> Send for Normal<T> where
T: Send,
T: Send,
impl<T> Sync for Normal<T> where
T: Sync,
T: Sync,
impl<T> Unpin for Normal<T> where
T: Unpin,
T: Unpin,
impl<T> UnwindSafe for Normal<T> where
T: UnwindSafe,
T: UnwindSafe,
Blanket Implementations
impl<T> Any for T where
T: 'static + ?Sized,
[src]
T: 'static + ?Sized,
impl<T> Borrow<T> for T where
T: ?Sized,
[src]
T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized,
[src]
T: ?Sized,
pub fn borrow_mut(&mut self) -> &mut T
[src]
impl<T> DeserializeOwned for T where
T: for<'de> Deserialize<'de>,
[src]
T: for<'de> Deserialize<'de>,
impl<T> From<T> for T
[src]
impl<T, U> Into<U> for T where
U: From<T>,
[src]
U: From<T>,
impl<T> ToOwned for T where
T: Clone,
[src]
T: Clone,
type Owned = T
The resulting type after obtaining ownership.
pub fn to_owned(&self) -> T
[src]
pub fn clone_into(&self, target: &mut T)
[src]
impl<T, U> TryFrom<U> for T where
U: Into<T>,
[src]
U: Into<T>,
type Error = Infallible
The type returned in the event of a conversion error.
pub fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>
[src]
impl<T, U> TryInto<U> for T where
U: TryFrom<T>,
[src]
U: TryFrom<T>,
type Error = <U as TryFrom<T>>::Error
The type returned in the event of a conversion error.
pub fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>
[src]
impl<V, T> VZip<V> for T where
V: MultiLane<T>,
V: MultiLane<T>,