Struct Normal 

pub struct Normal { /* private fields */ }

Normal (Gaussian) distribution N(μ, σ²).

Mathematical Definition

• PDF: φ(x) = (1/(σ√(2π))) exp(−(x−μ)²/(2σ²))
• CDF: Φ((x−μ)/σ) (via standard normal CDF)
• Mean: μ
• Variance: σ²

Implementations

impl Normal

pub fn new(mu: f64, sigma: f64) -> Result<Self, DistributionError>

Creates a new normal distribution N(μ, σ).

Errors

Returns Err if sigma ≤ 0 or parameters are not finite.

pub fn mu(&self) -> f64

pub fn sigma(&self) -> f64

pub fn mean(&self) -> f64

pub fn variance(&self) -> f64

pub fn std_dev(&self) -> f64

pub fn pdf(&self, x: f64) -> f64

PDF: (1/(σ√(2π))) exp(−(x−μ)²/(2σ²)).

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

CDF: Φ((x−μ)/σ).

pub fn quantile(&self, p: f64) -> Option<f64>

Inverse CDF (quantile): μ + σ·Φ⁻¹(p).

Returns None if p is outside (0, 1).

Trait Implementations

impl Clone for Normal

fn clone(&self) -> Normal

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for Normal

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

Formats the value using the given formatter.

impl PartialEq for Normal

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

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl StructuralPartialEq for Normal