Multinomial Distribution

Multinomial

The Multinomial distribution has the probability density function (PDF):

\[f(x_1,..,x_k;p_1,.., p_k) = \frac{n!}{x_1!..x_k!} p_1^{x_1} \cdots p_k^{x_k}\]

where \(\sum{x_i} = n\) is the number of trials and \(p_i>0\) is an event probability.

Usage

e["Distribution"][*index*]["Type"] = "Specific/Multinomial"

Configuration

These are settings required by this module.

Name

Usage: e[“Name”] = string
Description: Defines the name of the distribution.

Random Seed

Usage: e[“Random Seed”] = unsigned integer
Description: Defines the random seed of the distribution.

Range

Usage: e[“Range”] = gsl_rng
Description: Stores the current state of the distribution in hexadecimal notation.

Default Configuration

These following configuration will be assigned by default. Any settings defined by the user will override the given settings specified in these defaults.

{
"Name": "",
"Random Seed": 0,
"Range": ""
}