Geometric Distribution
Catherine Forbes, Merran Evans, Nicholas Hastings, Brian Peacock
Abstract
Catherine Forbes, Merran Evans, Nicholas Hastings, Brian Peacock
Abstract
This chapter begins with an example where for an interview, a set of established criteria must be met in order to consider a candidate as acceptable. The geometric distribution would be used to describe the number of interviews that would have to be conducted in order to get the first acceptable candidate. Given a sequence of independent Bernoulli trials, where the probability of success at each trial is p, the geometric variate G: p is the number of trials or failures before the first success. The geometric distribution is a discrete analogue of the continuous exponential distribution and only these are characterized by a “lack of memory.” An alternative form of the geometric distribution involves the number of trials up to and including the first success. The chapter also describes variate relationships and random number generation for geometric distribution. Controlled Vocabulary Terms binomial distribution; control variate; geometric distribution; probability
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This chapter begins with an example where for an interview, a set of established criteria must be met in order to consider a candidate as acceptable. The geometric distribution would be used to describe the number of interviews that would have to be conducted in order to get the first acceptable candidate. Given a sequence of independent Bernoulli trials, where the probability of success at each trial is p, the geometric variate G: p is the number of trials or failures before the first success. The geometric distribution is a discrete analogue of the continuous exponential distribution and only these are characterized by a “lack of memory.” An alternative form of the geometric distribution involves the number of trials up to and including the first success. The chapter also describes variate relationships and random number generation for geometric distribution. Controlled Vocabulary Terms binomial distribution; control variate; geometric distribution; probability
Key concepts: Geometric distribution, Random variate, Bernoulli distribution, Beta negative binomial distribution, Binomial distribution, Mathematics, Geometric progression, Bernoulli trial