StatsNBinomialPDF

StatsNBinomialPDF (x, k, p)

The StatsNBinomialPDF function returns the negative binomial probability distribution function.

$$\displaystyle f(x ; k, p)=\binom{x+k-1}{k-1} p^{k}(1-p)^{x}, \quad x=0,1,2 \ldots$$

where

$$\displaystyle \binom{a}{b}$$

is the binomial function.

The binomial distribution expresses the probability of the k th success in the x+k trial for two mutually exclusive results (success and failure) and p the probability of success in a single trial.

See Also

Statistical Analysis, StatsNBinomialCDF, StatsInvNBinomialCDF