#include <liarsdice/bayesian/prior_distribution.hpp>

template<typename T = double>

liarsdice::bayesian::GammaPrior class

Base classes

template<typename T = double>

class PriorDistribution<double>

Abstract base class for prior distributions in Bayesian analysis.

Public types

using distribution_type = boost::math::gamma_distribution<T>

Constructors, destructors, conversion operators

GammaPrior(T shape, T rate)

Public functions

auto pdf(T x) const -> T override

Evaluate the probability density at a given point.

auto log_pdf(T x) const -> T override

Evaluate the log probability density.

auto cdf(T x) const -> T override

Evaluate the cumulative distribution function.

auto sample(boost::random::mt19937& gen) const -> T override

Generate a random sample from the distribution.

auto mean() const -> T override

Get the mean of the distribution.

auto variance() const -> T override

Get the variance of the distribution.

auto mode() const -> std::optional<T> override

Get the mode of the distribution (if exists)

auto support() const -> std::pair<T, T> override

Get the support of the distribution.

auto name() const -> std::string override

Get the name of the distribution.

auto clone() const -> std::unique_ptr<PriorDistribution<T>> override

Clone the distribution.

auto is_conjugate_to(const std::string& likelihood_family) const -> bool override

Check if this is a conjugate prior for a given likelihood.

auto alpha() const -> T

Get the shape parameter (alpha)

auto beta() const -> T

Get the rate parameter (beta)

Function documentation