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Poisson distribution
MathProbabilityDensityPoisson

MathProbabilityDensityPoisson

MathProbabilityDensityPoisson

Calculates the value of the probability mass function of Poisson distribution with the lambda parameter for a random variable x. In case of error it returns NaN.

double  MathProbabilityDensityPoisson(
   const double  x,             // value of random variable (integer)
   const double  lambda,        // parameter of the distribution (mean)
   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 mass function of Poisson distribution with the lambda parameter for a random variable x. In case of error it returns NaN.

double  MathProbabilityDensityPoisson(
   const double  x,             // value of random variable (integer)
   const double  lambda,        // parameter of the distribution (mean)
   int&          error_code     // variable to store the error code
   );

Calculates the value of the probability mass function of Poisson distribution with the lambda parameter for an array of random variables x[]. In case of error it returns false. Analog of the dhyper() in R.

bool  MathProbabilityDensityPoisson(
   const double& x[],            // array with the values of random variable
   const double  lambda,         // parameter of the distribution (mean)
   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 mass function of Poisson distribution with the lambda parameter for an array of random variables x[]. In case of error it returns false.

bool  MathProbabilityDensityPoisson(
   const double& x[],            // array with the values of random variable
   const double  lambda,         // parameter of the distribution (mean)
   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.

lambda

[in] Parameter of the distribution (mean).

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.

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MathCumulativeDistributionPoisson