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Beta.h
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1//* This file is part of the MOOSE framework
2//* https://mooseframework.inl.gov
3//*
4//* All rights reserved, see COPYRIGHT for full restrictions
5//* https://github.com/idaholab/moose/blob/master/COPYRIGHT
6//*
7//* Licensed under LGPL 2.1, please see LICENSE for details
8//* https://www.gnu.org/licenses/lgpl-2.1.html
9
10#pragma once
11
12#include "Distribution.h"
13
17class Beta : public Distribution
18{
19public:
21
23
24 virtual Real pdf(const Real & x) const override;
25 virtual Real cdf(const Real & x) const override;
26 virtual Real quantile(const Real & p) const override;
27
28 static Real pdf(const Real & x, const Real & alpha, const Real & beta);
29 static Real cdf(const Real & x, const Real & alpha, const Real & beta);
30 static Real quantile(const Real & p, const Real & alpha, const Real & beta);
31
33 static Real betaFunction(const Real & a, const Real & b);
39 static Real incompleteBeta(const Real & a, const Real & b, const Real & x);
44 static Real incompleteBetaInv(const Real & a, const Real & b, const Real & p);
45
46protected:
48 const Real & _alpha;
50 const Real & _beta;
51};
const std::vector< double > x
const Real p
A class used to generate a Beta distribution.
Definition Beta.h:18
const Real & _alpha
Shape parameter 1.
Definition Beta.h:48
static Real incompleteBetaInv(const Real &a, const Real &b, const Real &p)
Inverse of lower incomplete beta function.
Definition Beta.C:124
static Real incompleteBeta(const Real &a, const Real &b, const Real &x)
Lower incomplete beta function.
Definition Beta.C:82
virtual Real cdf(const Real &x) const override
Definition Beta.C:64
static Real betaFunction(const Real &a, const Real &b)
Beta function: B(a,b) = Gamma(a)Gamma(b)/Gamma(a+b)
Definition Beta.C:76
virtual Real pdf(const Real &x) const override
Definition Beta.C:58
virtual Real quantile(const Real &p) const override
Definition Beta.C:70
const Real & _beta
Shape parameter 2.
Definition Beta.h:50
static InputParameters validParams()
Definition Beta.C:17
const InputParameters & parameters() const