modest overdispersion, this may produce substantially similar results to an overdispersed Poisson distribution. The negative binomial distribution is also commonly used to model data in the form of discrete sequence read counts from high-throughput RNA and DNA sequencing experiments. History This distribution was first studied in 1713, by Montmort, as the distribution of the number of trials required in an experiment to obtain a given number of successes. It had previously been mentioned by Pascal. See also Coupon collector's problem Beta negative binomial distribution Extended negative binomial distribution Negative multinomial distribution Binomial distribution Poisson distribution Compound Poisson distribution Exponential family Negative binomial regression Vector generalized linear model References Discrete distributions Exponential family distributions Compound probability distributions Factorial and binomial topics Infinitely divisible probability distributions