SQL Server NEGBINOMINV Function

Updated 2023-11-03 21:40:38.107000

Description

Use the scalar function NEGBINOMINV to calculate the smallest value of x such that NEGBINOMDISTP(@x, @Number_s, @Probability_s) >= @P.

SELECT [westclintech].[wct].[NEGBINOMINV] (
  <@P, float,>
 ,<@Number_s, float,>
 ,<@Probability_s, float,>)

the cumulative distribution function. @P is an expression of type float or of a type that implicitly converts to float.

is the number of successes. @Number_s is an expression of type float or of a type that implicitly converts to float.

is the probability of success. @Probability_s is an expression of type float or of a type that implicitly converts to float.

float

@P must be greater than zero and less than one (0 < @P < 1).

@Number_s must be greater than or equal to one (1<= @Number_s).

@Number_s is truncated to an integer.

@Probability_s must be greater than zero and less than one (0 < @Probability_s < 1).

Calculate the cumulative distribution function:

SELECT wct.NEGBINOMDISTP(4, 90, 0.975);

This produces the following result.

column 1
0.912840044254324

Calculate the inverse:

SELECT wct.NEGBINOMINV(0.912840044254324, 90, 0.975);

This produces the following result.

column 1
4