# MathProbabilityDensityNoncentralT

Calculates the value of the probability density function of noncentral Student's t-distribution with the nu and delta parameters for a random variable x. In case of error it returns NaN.

 double  MathProbabilityDensityNoncentralT(    const double  x,             // value of random variable    const double  nu,            // parameter of distribution (number of degrees of freedom)    const double  delta,         // noncentrality parameter    const bool    log_mode,      // calculate the logarithm of the value, if log_mode=true, then the natural logarithm of the probability density is calculated    int&          error_code     // variable for the error code    );

Calculates the value of the probability density function of noncentral Student's t-distribution with the nu and delta parameters for a random variable x. In case of error it returns NaN.

 double  MathProbabilityDensityNoncentralT(    const double  x,             // value of random variable    const double  nu,            // parameter of distribution (number of degrees of freedom)    const double  delta,         // noncentrality parameter    int&          error_code     // variable for the error code    );

Calculates the value of the probability density function of noncentral Student's t-distribution with the nu and delta parameters for an array of random variables x[]. In case of error it returns false. Analog of the dt() in R.

 bool  MathProbabilityDensityNoncentralT(    const double& x[],            // array with the values of random variable    const double  nu,             // parameter of distribution (number of degrees of freedom)    const double  delta,          // noncentrality parameter    const bool    log_mode,       // flag to calculate the logarithm of the value, if log_mode=true, then the natural logarithm of the probability density is calculated    double&       result[]        // array for values of the probability density function    );

Calculates the value of the probability density function of noncentral Student's t-distribution with the nu and delta parameters for an array of random variables x[]. In case of error it returns false.

 bool  MathProbabilityDensityNoncentralT(    const double& x[],            // array with the values of random variable    const double  nu,             // parameter of distribution (number of degrees of freedom)    const double  delta,          // noncentrality parameter    double&       result[]        // array for values of the probability density function    );

Parameters

x

[in]  Value of random variable.

x[]

[in]  Array with the values of random variable.

nu

[in]  Parameter of distribution (number of degrees of freedom).

delta

[in]  Noncentrality parameter.

log_mode

[in]  Flag to calculate the logarithm of the value. If log_mode=true, then the natural logarithm of the probability density is returned.

error_code

[out]  Variable to store the error code.

result[]

[out]  Array for values of the probability density function.

Updated: 2017.07.16