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# Negative Binomial Distribution

## Parameters

- number of successes (positive integer)
- continuous probability of a single success ()

(discrete)

## Cumulative Distribution Function

where is the Binomial Coefficient "a Choose b".

## Worksheet and VBA Functions

The following worksheet and VBA functions are available for this distribution:

 Description VBA Functions Worksheet Functions Distribution Fitting - ``` =DistFit("NegBinomial";Data;[Options]```1```) ``` Probability Density Function `NegBinomialPdf(x,n,p)` ``` =NegBinomialPdf(n;p) =DistPdf("NegBinomial(n;p)";x) ``` Cumulative Distribution Function `NegBinomialCdf(x,n,p)` ``` =NegBinomialCdf(n;p) =DistCdf("NegBinomial(n;p)";x) ``` Survival Function `NegBinomialSurv(x,n,p)` ``` =DistSurv("NegBinomial(n;p)";x) ``` Random Numbers `NegBinomialRand(n,p)` ``` =NegBinomialRand(n;p) =DistRand("NegBinomial(n;p)") ``` Mode `NegBinomialMode(n,p)` ``` =DistMode("NegBinomial(n;p)") ``` Mean `NegBinomialMean(n,p)` ``` =NegBinomialMean(n;p) =DistMean("NegBinomial(n;p)") ``` Variance `NegBinomialVar(n,p)` ``` =NegBinomialVar(n;p) =DistVar("NegBinomial(n;p)") ``` Standard Deviation `NegBinomialStdev(n,p)` ``` =NegBinomialStdev(n;p) =DistStdev("NegBinomial(n;p)") ``` Skewness `NegBinomialSkew(n,p)` ``` =DistSkew("NegBinomial(n;p)") ``` (Excess) Kurtosis `NegBinomialKurt(n,p)` ``` =DistKurt("NegBinomial(n;p)") ```

1. The `Options` parameter is optional. Possible options: "n=value"  (example: "n=10")