Dakota Reference Manual: geometric_uncertain

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geometric_uncertain

Aleatory uncertain discrete variable - geometric

## Topics

This keyword is related to the topics:

- discrete_variables
- aleatory_uncertain_variables

## Specification

Alias: none

Argument(s): INTEGER

Default: no geometric uncertain variables

Child Keywords:

| Required/Optional | Description of Group | Dakota Keyword | Dakota Keyword Description
--- | --- | --- | --- | ---
| Required | probability_per_trial | Geometric distribution parameter
| Optional | initial_point | Initial values for variables
| Optional | descriptors | Labels for the variables

## Description

The geometric distribution represents the number of successful trials that might occur before a failure is observed.

The density function for the geometric distribution is given by:

where `p` is the probability of failure per trial.