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3.2.5 Negative Binomial Distribution - 國立臺灣大學

www.math.ntu.edu.tw

3.2.5 Negative Binomial Distribution In a sequence of independent Bernoulli(p) trials, let the random variable X denote the trialat which the rth success occurs, where r is a fixed integer. Then P(X = x|r,p) = µ x−1 r −1 pr(1−p)x−r, x = r,r +1,..., (1) and we say that X has a negative binomial(r,p) distribution. The negative binomial distribution is sometimes defined in terms …

  Distribution, Negative, Binomial, Negative binomial, Negative binomial distribution

Notes on the Negative Binomial Distribution

www.johndcook.com

John D. Cook October 28, 2009 Abstract These notes give several properties of the negative binomial distri-bution. 1. Parameterizations 2. The connection between the negative binomial distribution and the binomial theorem 3. The mean and variance 4. The negative binomial as a Poisson with gamma mean

  Distribution, John, Negative, Binomial, Butions, Distri, Negative binomial distribution, Negative binomial distri bution

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