Unlike the negative binomial distribution this model is independent of the mean density.

Negative binomial distribution - 2 or more identical phases in sequence.

Suppose we used the negative binomial distribution to model the number of days a certain machine works before it breaks down.

Some textbooks may define the negative binomial distribution slightly differently than it is done here.

Under some circumstances, the problem of overdispersion can be solved by using a negative binomial distribution instead.

It is a truncated version of the negative binomial distribution for which estimation methods have been studied.

In this way, the negative binomial distribution is seen to be a compound Poisson distribution.

These forward links may be added in a randomized way with a geometric / negative binomial distribution.

The family of negative binomial distributions is a two-parameter family; several parametrizations are in common use.

Because of this, the negative binomial distribution is also known as the "'gamma-Poisson (mixture) distribution"'.

The negative binomial distributions, (number of failures before n successes with probability p of success on each trial).

According to his analysis, both Poisson distribution and negative binomial distribution provided an adequate fit to results of football games.

Also notice that the marginal is simply the integral of the posterior over all , which turns out to be a negative binomial distribution.

It can be defined using the convolution of a negative binomial distribution with a Poisson distribution.

The distribution of A.lumbricoides among human hosts is best described empirically by the negative binomial distribution.

Comparing these formulas to those of the binomial distributions explains the name 'negative binomial distribution'.

Suppose 'K' is a random variable with a negative binomial distribution with parameters 'r' and 'p'.

In this sense, the negative binomial distribution is the "inverse" of the binomial distribution.

A Poisson compounded with Log(p)-distributed random variables has a negative binomial distribution.

For the special case where "r" is an integer, the negative binomial distribution is known as the "'Pascal distribution"'.

The series of ball passing between players during football matches was successfully analyzed using negative binomial distribution by Reep and Benjamin in 1968.

The negative binomial distribution, especially in its alternative parameterization described above, can be used as an alternative to the Poisson distribution.

Among the discrete distributions, the negative binomial distribution is sometimes considered the discrete analogue of the Gamma distribution.

Negative binomial distribution / (1:D)

The number of trials needed to get r successes, which has a negative binomial distribution NB(r, p)