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XLeratorDB/statistics Documentation

SQL Server uniform inverse distribution function


UNIFORMINV

Updated: 31 July 2010

Use UNIFORMINV to calculate the inverse of the lower cumulative distribution of the uniform distribution.
 
The formula for the lower cumulative distribution function is:

UNIFORMINV function for SQL Server
Syntax
SELECT [devdb].[dbo].[UNIFORMINV] (
  <@P, float,>
 ,<@Min, float,>
 ,<@Max, float,>)
Arguments
@P
is the value of the lower cumulative distribution function. @P is an expression of type float or of a type that implicitly converts to float
@Min
is the minimum value of the distribution. @Min is an expression of type float or of a type that implicitly converts to float
@Max
is the maximum value of the distribution. @Max is an expression of type float or of a type that implicitly converts to float
Return Types
float
Remarks
·         @P must be greater than or equal to zero and less than or equal to one (0 ≤ @P ≤ 1).
·         @Max must be greater than or equal to @Min (@Max > @Min).
Examples
Calculate the lower cumulative distribution function:
SELECT wct.UNIFORM(6,1,9,'True')
This produces the following result
----------------------
0.625
 
(1 row(s) affected)


Calculate the inverse of the lower cumulative distribution function:
SELECT wct.UNIFORMINV(0.625,1,9)
 
This produces the following result
----------------------
6
 
(1 row(s) affected)


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