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# MathQuantileCauchy

For the specified probability, the function calculates the value of inverse Cauchy distribution function with the a and b parameters. In case of error it returns NaN.

 double  MathQuantileCauchy(    const double  probability,    // probability value of random variable occurrence    const double  a,              // mean parameter of the distribution    const double  b,              // scale parameter of the distribution    const bool    tail,           // flag of calculation, if false, then calculation is performed for 1.0-probability    const bool    log_mode,       // flag of calculation, if log_mode=true, calculation is performed for Exp(probability)    int&          error_code      // variable to store the error code    );

For the specified probability, the function calculates the value of inverse Cauchy distribution function with the a and b parameters. In case of error it returns NaN.

 double  MathQuantileCauchy(    const double  probability,    // probability value of random variable occurrence    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    );

For the specified probability[] array of probability values, the function calculates the value of inverse Cauchy distribution function with the a and b parameters. In case of error it returns false. Analog of the qcauschy() in R.

 double  MathQuantileCauchy(    const double& probability[],  // array with probability values of random variable    const double  a,              // mean parameter of the distribution    const double  b,              // scale parameter of the distribution    const bool    tail,           // flag of calculation, if false, then calculation is performed for 1.0-probability    const bool    log_mode,       // flag of calculation, if log_mode=true, calculation is performed for Exp(probability)    double&       result[]        // array with values of quantiles    );

For the specified probability[] array of probability values, the function calculates the value of inverse Cauchy distribution function with the a and b parameters. In case of error it returns false.

 bool  MathQuantileCauchy(    const double& probability[],  // array with probability values of random variable    const double  a,              // mean parameter of the distribution    const double  b,              // scale parameter of the distribution    double&       result[]        // array with values of quantiles    );

Parameters

probability

[in]  Probability value of random variable.

probability[]

[in]  Array with probability values of random variable.

a

[in]  mean parameter of the distribution.

b

[in]  scale parameter of the distribution.

tail

[in]  Flag of calculation, if false, then calculation is performed for 1.0-probability.

log_mode

[in]  Flag of calculation, if log_mode=true, calculation is performed for Exp(probability).

error_code

[out]  Variable to get the error code.

result[]

[out]  Array with values of quantiles.

Updated: 2016.12.21