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3.2.5 Negative Binomial Distribution - 國立臺灣大學

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

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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