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revision 1.1.2.5 by bjg, Sat Jun 28 18:08:40 2003 UTC revision 1.1.2.6 by bjg, Sun Jul 20 15:02:50 2003 UTC
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1  @cindex cumulative distribution functions  @cindex cumulative distribution functions
2    
3  This chapter describes functions for evaluating cumulative distribution  This chapter describes routines for evaluating cumulative distribution
4  functions (CDF) of random variates.  The cumulative distribution  functions and quantile functions, also know as inverse cumulative
5  functions can be computed separately for @math{P(x)}, the lower tail of  distribution functions.  The cumulative distribution functions and their
6  the distribution, and @math{Q(x)}, the upper tail of the distribution,  inverses can be computed separately for upper and lower tails of the
7  allowing full accuracy to be retained for small results.  distribution, allowing full accuracy to be retained for small results.
8    
9  The functions described in this section are declared in  The functions described in this section are declared in
10  @file{gsl_cdf.h}.  @file{gsl_cdf.h}.
11    
12  @menu  @menu
13  * The Gaussian CDF::              * The Gaussian CDF::            
14    * The Gamma Distribution::      
15    * The Chi-squared Distribution::  
16    * The Exponential Distribution::  
17    * The t-distribution::          
18    * The F-distribution::          
19    * The Beta Distribution::      
20  * The Gaussian Quantile Function::    * The Gaussian Quantile Function::  
21  * The Gamma CDF::                * The Gamma CDF::              
22  * CDF Examples::                  * CDF Examples::                
# Line 20  The functions described in this section Line 26  The functions described in this section
26  @node The Gaussian CDF  @node The Gaussian CDF
27  @section The Gaussian Cumulative Distribution Function  @section The Gaussian Cumulative Distribution Function
28    
29    
30    @node The Gamma Distribution
31    @section The Gamma Distribution
32    
33    
34    @node The Chi-squared Distribution
35    @section The Chi-squared Distribution
36    
37    @node The Exponential Distribution
38    @section The Exponential Distribution
39    
40    @node The t-distribution
41    @section The t-distribution
42    
43    @node The F-distribution
44    @section The F-distribution
45    
46    @node The Beta Distribution
47    @section The Beta Distribution
48    
49    
50    
51    
52  @deftypefun double gsl_cdf_gauss_P (double @var{z})  @deftypefun double gsl_cdf_gauss_P (double @var{z})
53  @deftypefunx double gsl_cdf_gauss_Q (double @var{z})  @deftypefunx double gsl_cdf_gauss_Q (double @var{z})
54  This function computes the probability @math{Pr(Z<x)} for a  This function computes the probability @math{Pr(Z<x)} for a

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