MathCumulativeDistributionNoncentralBeta

Calculates the probability distribution function of noncentral beta distribution with the a, b and lambda parameters for a random variable x. In case of error it returns NaN.

double  MathCumulativeDistributionNoncentralBeta(
   const double  x,             // value of random variable
   const double  a,             // the first parameter of beta distribution (shape1)
   const double  b,             // the second parameter of beta distribution (shape2)
   const double  lambda,        // 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,      // calculate the logarithm of the value, if log_mode=true, then the natural logarithm of the probability is returned
   int&          error_code     // variable to store the error code
   );

Calculates the probability distribution function of noncentral beta distribution with the a, b and lambda parameters for a random variable x. In case of error it returns NaN.

double  MathCumulativeDistributionNoncentralBeta(
   const double  x,             // value of random variable
   const double  a,             // the first parameter of beta distribution (shape1)
   const double  b,             // the second parameter of beta distribution (shape2)
   const double  lambda,        // noncentrality parameter
   int&          error_code     // variable to store the error code
   );

Calculates the probability distribution function of noncentral beta distribution with the a, b and lambda parameters for an array of random variables x[]. In case of error it returns false. Analog of the pbeta() in R.

bool  MathCumulativeDistributionNoncentralBeta(
   const double& x[],            // array with the values of random variable
   const double  a,              // the first parameter of beta distribution (shape1)
   const double  b,              // the second parameter of beta distribution (shape2)
   const double  lambda,         // 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
   );

Calculates the probability distribution function of noncentral beta distribution with the a, b and lambda parameters for an array of random variables x[]. In case of error it returns false.

bool  MathCumulativeDistributionNoncentralBeta(
   const double& x[],            // array with the values of random variable
   const double  a,              // the first parameter of beta distribution (shape1)
   const double  b,              // the second parameter of beta distribution (shape2)
   const double  lambda,         // 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.
a: [in] The first parameter of beta distribution (shape 1).
b: [in] The second parameter of beta distribution (shape 2)
lambda: [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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