Negative Binomial Distribution

Fit parameters of the negative binomial distribution to data, evaluate the distribution or its inverse, generate pseudorandom samples

Statistics and Machine Learning Toolbox™ offers multiple ways to work with the negative binomial distribution.

Create a NegativeBinomialDistribution object and use NegativeBinomialDistribution object functions.
Use distribution-specific functions with specified distribution parameters. The functions can accept parameters of multiple negative binomial distributions.
Use the generic distribution functions with the specified distribution name "Negative Binomial" and corresponding parameters.

To learn about the negative binomial distribution, see Negative Binomial Distribution.

Functions

`makedist`	Create probability distribution object
`fitdist`	Fit probability distribution object to data

`cdf`	Cumulative distribution function
`gather`	Gather properties of Statistics and Machine Learning Toolbox object from GPU (Since R2020b)
`icdf`	Inverse cumulative distribution function
`iqr`	Interquartile range of probability distribution
`mean`	Mean of probability distribution
`median`	Median of probability distribution
`negloglik`	Negative loglikelihood of probability distribution
`paramci`	Confidence intervals for probability distribution parameters
`pdf`	Probability density function
`plot`	Plot probability distribution object (Since R2022b)
`proflik`	Profile likelihood function for probability distribution
`random`	Random numbers
`std`	Standard deviation of probability distribution
`truncate`	Truncate probability distribution object
`var`	Variance of probability distribution

`nbincdf`	Negative binomial cumulative distribution function
`nbinpdf`	Negative binomial probability density function
`nbininv`	Negative binomial inverse cumulative distribution function
`nbinstat`	Negative binomial mean and variance
`nbinfit`	Negative binomial parameter estimates
`nbinrnd`	Negative binomial random numbers

`cdf`	Cumulative distribution function
`icdf`	Inverse cumulative distribution function
`pdf`	Probability density function
`random`	Random numbers
`mle`	Maximum likelihood estimates

`NegativeBinomialDistribution`	Negative binomial distribution object
`NegativeBinomialDistribution`	Negative binomial distribution object

Fit probability distributions to data

Negative Binomial Distribution
The negative binomial distribution models the number of failures before a specified number of successes is reached in a series of independent, identical trials.