# MathProbabilityDensityCauchy

Calculates the value of the probability density function of Cauchy distribution with the a and b parameters for a random variable x. In case of error it returns NaN.

 double  MathProbabilityDensityCauchy(    const double  x,             // value of random variable    const double  a,             // mean parameter of the distribution    const double  b,             // scale parameter of the distribution    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 to store the error code    );

Calculates the value of the probability density function of Cauchy distribution with the a and b parameters for a random variable x. In case of error it returns NaN.

 double  MathProbabilityDensityCauchy(    const double  x,             // value of random variable    const double  a,             // mean parameter of the distribution    const double  b,             // scale parameter of the distribution    int&          error_code     // variable to store the error code    );

Calculates the value of the probability density function of Cauchy distribution with the a and b parameters for an array of random variables x[]. In case of error it returns false. Analog of the dcauchy() in R.

 bool  MathProbabilityDensityCauchy(    const double& x[],            // array with the values of random variable    const double  a,              // mean parameter of the distribution    const double  b,              // scale parameter of the distribution    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 Cauchy distribution with the a and b parameters for an array of random variables x[]. In case of error it returns false.

 bool  MathProbabilityDensityCauchy(    const double& x[],            // array with the values of random variable    const double  a,              // mean parameter of the distribution    const double  b,              // scale parameter of the distribution    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.

a

[in]  mean parameter of the distribution.

b

[in]  scale parameter of the distribution.

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: 2016.12.21