geometric_uncertain

Aleatory uncertain discrete variable - geometric

Topics

discrete_variables, aleatory_uncertain_variables

Specification

  • Alias: None

  • Arguments: 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:

\[f(x) = {p}{(1-p)^{x}},\]

where \(p\) is the probability of failure per trial.