negative binomial distribution

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negative binomial distribution

[¦neg·əd·iv bī¦nō·mē·əl ‚di·strə′byü·shən]
(statistics)
The distribution of a negative binomial random variable. Also known as Pascal distribution.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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This paper proposes a Bayesian repetitive group sampling plan for the application of attribute quality characteristics under the conditions of gamma-Poisson distribution. The optimal design parameters of the proposed plan such as the sample size and the acceptance numbers are determined based on two points on operating characteristics curve approach and by minimizing the average sample number since any sampling plan with minimum average sample number is always preferred.
Keywords: Repetitive group sampling; gamma-Poisson distribution; risks
Under these situations, Hald [2] derived operating characteristic (OC) function of the single sampling plan based on gamma-Poisson distribution. Vijayaraghavan et al.
Gamma-Poisson distribution, which is also known as the negative binomial distribution, is one of the most widely used models in various areas of statistics such as, food industry, accident analysis etc.

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