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Dakota Reference Manual
Version 6.15
Explore and Predict with Confidence
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Aleatory uncertain discrete variable - negative binomial
This keyword is related to the topics:
Alias: none
Argument(s): INTEGER
Default: no negative binomial uncertain variables
Child Keywords:
Required/Optional | Description of Group | Dakota Keyword | Dakota Keyword Description | |
---|---|---|---|---|
Required | probability_per_trial | A negative binomial distribution parameter | ||
Required | num_trials | A negative binomial distribution parameter | ||
Optional | initial_point | Initial values for variables | ||
Optional | descriptors | Labels for the variables |
The density function for the negative binomial distribution is given by:
where
The negative binomial distribution is typically used to predict the number of failures observed when repeating a test until a total of n
successes have occurred, where each test has a probability p
of success.