# MathCumulativeDistributionLognormal

Calculates the log-normal distribution function of probabilities with the mu and sigma parameters for a random variable x. In case of error it returns NaN.

 double  MathCumulativeDistributionLognormal(    const double  x,              // value of random variable    const double  mu,             // logarithm of the expected value (log mean)    const double  sigma,          // logarithm of the root-mean-square deviation (log standard deviation)    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 log-normal distribution function of probabilities with the mu and sigma parameters for a random variable x. In case of error it returns NaN.

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

Calculates the log-normal distribution function of probabilities with the mu and sigma parameters for an array of random variables x[]. In case of error it returns false. Analog of the plnorm() in R.

 bool  MathCumulativeDistributionLognormal(    const double&  x[],            // array with the values of random variable    const double   mu,             // logarithm of the expected value (log mean)    const double   sigma,          // logarithm of the root-mean-square deviation (log standard deviation)    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 log-normal distribution function of probabilities with the mu and sigma parameters for an array of random variables x[]. In case of error it returns false.

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

mu

[in]  Logarithm of the expected value (log_mean).

sigma

[in]  Logarithm of the root-mean-square deviation (log standard deviation).

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 to obtain the values of the probability function.

Updated: 2016.12.21