# MathProbabilityDensityNormal

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

 double  MathProbabilityDensityNormal(    const double  x,              // value of random variable    const double  mu,             // mean parameter of the distribution (expected value)    const double  sigma,          // sigma parameter of the distribution (root-mean-square deviation)    const bool    log_mode,       // calculate the logarithm of the value    int&          error_code      // variable to store the error code    );

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

 double  MathProbabilityDensityNormal(    const double  x,              // value of random variable    const double  mu,             // mean parameter of the distribution (expected value)    const double  sigma,          // sigma parameter of the distribution (root-mean-square deviation)    int&          error_code      // variable to store the error code    );

Calculates the value of the probability density function of normal distribution with the mu and sigma parameters for an array of random variables x[]. In case of error it returns false. Analog of the dnorm() in R.

 bool  MathProbabilityDensityNormal(    const double&  x[],            // array with the values of random variable    const double   mu,             // mean parameter of the distribution (expected value)    const double   sigma,          // sigma parameter of the distribution (root-mean-square deviation)    const bool     log_mode,       // calculate the logarithm of the value    double&        result[]        // array for values of the probability density function    );

Calculates the value of the probability density function of normal distribution with the mu and sigma parameters for an array of random variables x[]. In case of error it returns false.

 bool  MathProbabilityDensityNormal(    const double&  x[],            // array with the values of random variable    const double   mu,             // mean parameter of the distribution (expected value)    const double   sigma,          // sigma parameter of the distribution (root-mean-square deviation)    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.

mu

[in]  mean parameter of the distribution (expected value).

sigma

[in]  sigma parameter of the distribution (root-mean-square deviation).

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 get the error code.

result[]

[out]  Array to obtain the values of the probability density function.