Trait rstat::ContinuousDistribution

pub trait ContinuousDistribution: Distribution {
    fn pdf(&self, x: <Self::Support as Space>::Value) -> f64 { ... }
    fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64 { ... }
    fn pdf_batch(
        &self, 
        xs: Vector<<Self::Support as Space>::Value>
    ) -> Vector<f64> { ... }
    fn logpdf_batch(
        &self, 
        xs: Vector<<Self::Support as Space>::Value>
    ) -> Vector<f64> { ... }
    fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64 { ... }
}

Provided methods

fn pdf(&self, x: <Self::Support as Space>::Value) -> f64

Evaluates the probability density function (PDF) at x.

The PDF can be interpreted as the relative likelihood that a random variable X takes on a value equal to x. For absolutely continuous univariate distributions it is defined by the derivative of the CDF: f(x) = F'(x). Intuitively, one may think of f(x)dx that as representing the probability that the random variable X lies in the infinitesimal interval [x, x + dx].

Alternatively, one may interpret the PDF, for infinitely small dt, as the following: f(t)dt = P(t < X < t + dt).

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

Evaluates the log PDF at x.

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

Evaluates the PDF element-wise for a batch xs.

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

Evaluates the log PDF element-wise for a batch xs.

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

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Implementors

impl ContinuousDistribution for BivariateNormal

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Dirichlet

fn pdf(&self, xs: Vector<f64>) -> f64

fn logpdf(&self, xs: Vector<f64>) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for MultivariateLogNormal

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for MultivariateNormal

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Arcsine

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Beta

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for BetaPrime

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Cauchy

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Chi

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for ChiSq

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Cosine

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Erlang

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Exponential

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for FDist

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Frechet

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Gamma

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for GeneralisedExtremeValue

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for GeneralisedPareto

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Gumbel

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for InvGamma

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for InvNormal

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Laplace

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Levy

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for LogNormal

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Logistic

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Normal

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Pareto

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Rayleigh

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for StudentT

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Triangular

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Weibull

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Degenerate<f64>

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl ContinuousDistribution for Uniform<f64>

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

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

impl<C: ContinuousDistribution> ContinuousDistribution for Mixture<C> where
    C::Support: Clone,
    <C::Support as Space>::Value: Clone, 

fn pdf(&self, x: <Self::Support as Space>::Value) -> f64

fn logpdf(&self, x: <Self::Support as Space>::Value) -> f64

fn pdf_batch(&self, xs: Vector<<Self::Support as Space>::Value>) -> Vector<f64>

fn logpdf_batch(
    &self,
    xs: Vector<<Self::Support as Space>::Value>
) -> Vector<f64>

fn loglikelihood(&self, xs: Vector<<Self::Support as Space>::Value>) -> f64

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