Dakota Reference Manual: probability_per_trial

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probability_per_trial

A negative binomial distribution parameter

## Specification

Alias: prob_per_trial

Argument(s): REALLIST

## Description

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.

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 failures