IDAX.QCAUCHY - Inverse Cauchy distribution

Given that the peak location and the interquartile range are specified, the QCAUCHY function returns the value x of a variable that follows the Cauchy distribution for which the probability of being smaller or equal to x is equal to the specified percentage.

Syntax

IDAX.QCAUCHY(DOUBLE percentage, double location, double
scale)

Parameter descriptions

percentage

Mandatory.

The requested limit of the percentage.

If percentage is not in the range of 0 - 1, QCAUCHY(percentage,location,scale) is null for all location values and scale values.

Min: 0.00000000001

Max: 0.99999999999

Data type: DOUBLE

location

Mandatory.

The location of the peak of the Cauchy distribution.

Data type: DOUBLE

scale

Mandatory.

A value that corresponds to half of the interquartile range.

The interquartile range measures variability based on dividing a data set into quartiles.

Smaller values result in a narrower peak.

If scale is 0 or less, QCAUCHY(perc,location,scale) is null for all perc values and location values.

Min: 0.00000000001

Data type: DOUBLE

If PCAUCHY(x,location,scale)=perc, QCAUCHY(perc,location,scale)=x for all x values and location values, and for all positive scale values.

Returned information

DOUBLE the point x where PCAUCHY(x,location,scale)=percentage.