MathCumulativeDistributionNoncentralF

Calculates the value of the probability distribution function of noncentral Fisher’s F-distribution with the nu1, nu2 and sigma parameters for a random variable x. In case of error it returns NaN.

double  MathCumulativeDistributionNoncentralF(
   const double  x,             // value of random variable
   const double  nu1,           // the first parameter of distribution (number of degrees of freedom)
   const double  nu2,           // the second parameter of distribution (number of degrees of freedom)
   const double  sigma,         // noncentrality parameter
   const bool    tail,          // flag of calculation, if true, then the probability of random variable not exceeding x is calculated
   const bool    log_mode,      // flag to calculate the logarithm of the value, if log_mode=true, then the natural logarithm of the probability is calculated
   int&          error_code     // variable to store the error code
   );

Calculates the value of the probability distribution function of noncentral Fisher’s F-distribution with the nu1, nu2 and sigma parameters for a random variable x. In case of error it returns NaN.

double  MathCumulativeDistributionNoncentralF(
   const double  x,             // value of random variable
   const double  nu1,           // the first parameter of distribution (number of degrees of freedom)
   const double  nu2,           // the second parameter of distribution (number of degrees of freedom)
   const double  sigma,         // noncentrality parameter
   int&          error_code     // variable to store the error code
   );

Calculates the value of the probability distribution function of noncentral Fisher’s F-distribution with the nu1, nu2 and sigma parameters for an array of random variables x[]. In case of error it returns false. Analog of the pf() in R.

bool  MathCumulativeDistributionNoncentralF(
   const double& x[],            // array with the values of random variable
   const double  nu1,            // the first parameter of distribution (number of degrees of freedom)
   const double  nu2,            // the second parameter of distribution (number of degrees of freedom)
   const double  sigma,          // noncentrality parameter
   const bool    tail,           // flag of calculation, if true, then the probability of random variable not exceeding x is calculated
   const bool    log_mode,       // flag to calculate the logarithm of the value, if log_mode=true, then the natural logarithm of the probability is calculated
   double&       result[]        // array for values of the probability function
   );

bool  MathCumulativeDistributionNoncentralF(
   const double& x[],            // array with the values of random variable
   const double  nu1,            // the first parameter of distribution (number of degrees of freedom)
   const double  nu2,            // the second parameter of distribution (number of degrees of freedom)
   const double  sigma,          // noncentrality parameter
   double&       result[]        // array for values of the probability function
   );

Parameters

x: [in] Value of random variable.
x[]: [in] Array with the values of random variable.
nu1: [in] The first parameter of distribution (number of degrees of freedom).
nu2: [in] The second parameter of distribution (number of degrees of freedom).
sigma: [in] Noncentrality parameter.
tail: [in] Flag of calculation. If true, then the probability of random variable not exceeding x is calculated.
log_mode: [in] Flag to calculate the logarithm of the value. If log_mode=true, then the natural logarithm of the probability is calculated.
error_code: [out] Variable to store the error code.
result[]: [out] Array for values of the probability function.

Last updated on 2026-07-24

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