Density function for the negative binomial distribution with parameters alpha and prob.
dnegbinom(x, alpha, prob, log.p = FALSE)dnegbinom gives the density corresponding to the alpha and prob values provided.
vector of (non-negative integer) quantiles.
target for number of successful trials. Must be strictly positive, need not be integer.
probability of success in each trial. 0 < prob <= 1.
logical; if TRUE, probabilities p are given as log(p).
Sergio Venturini sergio.venturini@unicatt.it,
Jessica A. Myers jmyers6@partners.org
The negative binomial distribution with parameters alpha = \(\alpha\) and prob = \(p\) has density
$$\frac{\Gamma(x + \alpha)}{\Gamma(\alpha) x!} p^\alpha (1-p)^x$$
for \(x = 0,1,\ldots,\alpha > 0\) and \(0 < p \leq 1\).
This represents the number of failures which occur in a sequence of Bernoulli trials before a target number of successes is reached.
DuMouchel W. (1999), "Bayesian Data Mining in Large Frequency Tables, with an Application to the FDA Spontaneous Reporting System". The American Statistician, 53, 177-190.
Myers, J. A., Venturini, S., Dominici, F. and Morlock, L. (2011), "Random Effects Models for Identifying the Most Harmful Medication Errors in a Large, Voluntary Reporting Database". Technical Report.
dmixnegbinom,
dnbinom.