In this file we implement functions around the Beta ratio function. More...
#include "../include/STK_Funct_betaRatio.h"#include "../include/STK_Funct_gammaRatio.h"#include "../include/STK_ISerie.h"#include "../include/STK_Algo.h"#include "../include/STK_Funct_gamma.h"#include "../include/STK_Funct_util.h"#include "../include/STK_Funct_raw.h"#include "../../Arrays/include/STK_Vector.h"
Go to the source code of this file.
Namespaces | |
| namespace | STK |
STK means the Statistical ToolKit. | |
| namespace | STK::Funct |
The namespace Funct enclose all usual and special functions. | |
Defines | |
| #define | d1(z) (0.5) |
| #define | d2(z) (z/8. - 1./20.) |
| #define | d3(z) (z*(z/48.-1./40.)+1./105.) |
| #define | d4(z) (z*(z*(z/384.-1./160.)+101./16800.)-3./1400.) |
| #define | d5(z) |
| #define | d6(z) |
| #define | d7(z) |
| #define | d8(z) |
Functions | |
| static Real | STK::Funct::betaRatio_cf (Real const &a, Real const &b, Real const &x, bool lower_tail=true, Integer const &iterMax=1000) |
| Compute the continued fraction of the beta function. | |
| static Real | STK::Funct::betaRatio_ae (Real const &a, Real const &b, Real const &x, bool xm1, bool lower_tail) |
| Compute the incomplete beta function ratio I_x(a,b) using its asymptotic expansion. | |
| static Real | STK::Funct::serie_up (Real const &s, Real const &a, Real const &x, Integer const &n) |
| Compute the recurrence formula of the incomplete beta ratio function. | |
| static Real | STK::Funct::betaRatio_up (Real const &a, Real const &b, Real const &x, bool xm1, bool lower_tail) |
| Compute the incomplete beta function ratio I_x(a,b) using its recurrence formula and its asymptotic expansion. | |
| static Real | STK::Funct::betaRatio_sr (Real const &a, Real const &b, Real const &x, bool lower_tail) |
| Compute the incomplete beta function ratio I_x(a,b) using its series representation. | |
| static Real | STK::Funct::coefs_odd_se (Real const &std, Real const &qmp, Vector &A) |
| compute the odd coefs of the beta Ratio function serie expansion. | |
| static Real | STK::Funct::coefs_even_se (Real const &std, Real const &qmp, Vector &A) |
| compute the even coefs of the beta Ratio function serie expansion. | |
| static Real | STK::Funct::betaRatio_se (Real const &a, Real const &b, Real const &x, bool xm1, bool lower_tail, Integer const &iterMax=20) |
| Compute the incomplete beta function ratio I_x(a,b) using its serie expansion. | |
| Real | STK::Funct::betaRatio (Real const &a, Real const &b, Real const &x, bool lower_tail=true) |
| Compute the incomplete beta function ratio. | |
Detailed Description
In this file we implement functions around the Beta ratio function.
Definition in file STK_Funct_betaRatio.cpp.
Define Documentation
| #define d1 | ( | z | ) | (0.5) |
Definition at line 221 of file STK_Funct_betaRatio.cpp.
Referenced by STK::Svd::diag().
| #define d2 | ( | z | ) | (z/8. - 1./20.) |
Definition at line 222 of file STK_Funct_betaRatio.cpp.
Referenced by STK::Funct::betaRatio_ae(), and STK::Svd::diag().
| #define d3 | ( | z | ) | (z*(z/48.-1./40.)+1./105.) |
Definition at line 223 of file STK_Funct_betaRatio.cpp.
Referenced by STK::Funct::betaRatio_ae().
| #define d4 | ( | z | ) | (z*(z*(z/384.-1./160.)+101./16800.)-3./1400.) |
Definition at line 224 of file STK_Funct_betaRatio.cpp.
Referenced by STK::Funct::betaRatio_ae().
| #define d5 | ( | z | ) |
(z*(z*(z*(z/3840.-1./960.)+61./33600.)-13./8400.) \
+1./1925.)
Definition at line 225 of file STK_Funct_betaRatio.cpp.
Referenced by STK::Funct::betaRatio_ae().
| #define d6 | ( | z | ) |
(z*(z*(z*(z*(z/46080.-1./7680.)+143./403200.) \
-59./112000.)+7999./19404000.)-691./5255250.)
Definition at line 227 of file STK_Funct_betaRatio.cpp.
Referenced by STK::Funct::betaRatio_ae().
| #define d7 | ( | z | ) |
(z*(z*(z*(z*(z*(z/645120.-1./76800.)+41./806400.) \
-11./96000.)+5941./38808000.)-2357./21021000.)+6./175175.)
Definition at line 229 of file STK_Funct_betaRatio.cpp.
Referenced by STK::Funct::betaRatio_ae().
| #define d8 | ( | z | ) |
(z*(z*(z*(z*(z*(z*(z/10321920.-1./921600.)+37./6451200.) \
-73./4032000.)+224137./6209280000.)-449747./10090080000.) \
+52037./1681680000.)-10851./1191190000.)
Definition at line 231 of file STK_Funct_betaRatio.cpp.
Referenced by STK::Funct::betaRatio_ae().
