Bernoulli Distribution
Catherine Forbes, Merran Evans, Nicholas Hastings, Brian Peacock
Abstract
Catherine Forbes, Merran Evans, Nicholas Hastings, Brian Peacock
Abstract
A Bernoulli trial is a probabilistic experiment that can have one of two outcomes, success (x = 1) or failure (x = 0), and in which the probability of success is p, which is referred as the Bernoulli probability parameter. An example of a Bernoulli trial is the inspection of a random item from a production line with the possible result that the item could be acceptable or faulty. The Bernoulli trial is a basic building block for other discrete distributions such as the binomial, Pascal, geometric, and negative binomial. The chapter also describes random number generation, curtailed Bernoulli trial sequences and urn sampling scheme. Controlled Vocabulary Terms binomial distribution; Polya urn model
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A Bernoulli trial is a probabilistic experiment that can have one of two outcomes, success (x = 1) or failure (x = 0), and in which the probability of success is p, which is referred as the Bernoulli probability parameter. An example of a Bernoulli trial is the inspection of a random item from a production line with the possible result that the item could be acceptable or faulty. The Bernoulli trial is a basic building block for other discrete distributions such as the binomial, Pascal, geometric, and negative binomial. The chapter also describes random number generation, curtailed Bernoulli trial sequences and urn sampling scheme. Controlled Vocabulary Terms binomial distribution; Polya urn model
Key concepts: Binomial distribution, Bernoulli's principle, Bernoulli trial, Bernoulli distribution, Beta-binomial distribution, Bernoulli scheme, Beta negative binomial distribution, Mathematics