IDAX.PCAUCHY_H - High-tail cumulative Cauchy distribution

Given that the peak location and the interquartile range are specified, the PCAUCHY_H function returns the probability that the value of a variable that follows the Cauchy distribution is greater than x.

Syntax

IDAX.PCAUCHY_H(DOUBLE x, DOUBLE location, DOUBLE scale)

Parameter descriptions

x

Mandatory.

The value that is to be computed.

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

Min: 0.00000000001

Data type: DOUBLE

PCAUCHY_H(x,location,scale)=1-PCAUCHY(x,location,scale) for all x and location values, and for scale values in the range of 0 - 1.

Returned information

DOUBLE the cumulative probability distribution from x to plus infinity.