Creates a Hypergeometric distribution object (Discrete Distribution).

A random variable X is defined to have a Hypergeometric distribution if the discrete density function of X is given by pf= [(Combination(K, x)*Combination(M-K, n-x))/Combination(M, n) , for x=1,2,...,N] or 0 otherwise.

M is a positive integer, K is a nonnegative integer that is at most M, and n is a positive integer that is at most M. The mean of a Hypergeometric distribution is n*(K/M) and the variance n*(K/M)*((M-K)/M)*((M-n)/(M-1)).

Let X denote the number of defectives in a sample of size n, when sampling is done without replacement from an urn containing M balls, K of which are defective.

Then X has a Hypergeometric distribution.

The string 'Key' resulting from a successful construction of this distribution object can be passed to the following functions in order to query (mean, std deviation and variance) or execute functions (probability function, cumulative density function etc...) based on this distribution object : DDistributionMean(), DDistributionVar(), DDistributionSTD(), DDistributionPF() or DDistributionCDF(). In addition, the string 'Key' resulting from a successful construction of this distribution object will also allow you to construct a process generator object via a call to PGHypergDistribution(). A process generator object allows you to generate large amounts of random numbers based on this distribution.

Even though PGHypergDistribution() is the process generator object, the function RandomHyperg() is the actual function that obtains the random numbers given a count parameter and the process generator string 'key'.

This function creates an object and returns a string-key value to represent this created object.
The TAG value of the string-key returned (second part of the key) is : "Hyperg"

String CTStatDistributions.HypergDistribution( _
String Key, _
Long Reload, _
Long ndef, _
Long nSize, _
Long nLotSize)

=CT.STAT.HypergDistribution(
Excel String Cell Key,
Excel Numeric Cell Reload,
Excel Numeric Cell ndef,
Excel Numeric Cell nSize,
Excel Numeric Cell nLotSize)

static std::string HypergDistribution(
std::string Key,
long Reload,
long ndef,
long nSize,
long nLotSize);

System.String CTStatDistributionsSA.HypergDistribution(
System.String Key,
System.Int32 Reload,
System.Int32 ndef,
System.Int32 nSize,
System.Int32 nLotSize);

The C# example below contains all the sub-function calls leading up to this function call. As a result, the example can contain a lot of code.

The VB.NET, J#, C++.NET, Java, Excel VBA, Visual Basic 6 (via COM) and C++ examples below contain function code stubs for the calls leading up to this function call. However, the function call for this function is displayed.
You can easily reproduce the stub functions code from the C# example.