Updated: 31 July 2010

Use CAUCHYINV to calculate the inverse lower cumulative distribution of the CAUCHY distribution.

The formula for the lower cumulative distribution function is:

SELECT [wctStatistics].[wct].[CAUCHYINV] (

<@P, float,>

,<@A, float,>

,<@B, float,>)

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**.

is the location parameter. @*A *is an expression of type **float** or of a type that implicitly converts to **float**.

is the shape parameter. @*B *is an expression of type **float** or of a type that implicitly converts to **float**.

float

· *@B* must be greater than zero (B > 0).

· *@*P must be greater than or equal to zero and less than or equal to one (0 ≤* @P* ≤ 1).

Calculate the inverse of the lower cumulative distribution function:

SELECT wct.CAUCHYINV(.75,0,1)

This produces the following result

----------------------

1

(1 row(s) affected)