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Dakota Reference Manual
Version 6.16
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
is the probability of success per trial
is the number of successful trials
is the number of failuresThe 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.