IDAX.PCAUCHY - Cumulative Cauchy distribution

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

Syntax

IDAX.PCAUCHY(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 0 or less, PCAUCHY(x, location, scale) is null for all x and location values.

Min: 0.00000000001

Data type: DOUBLE

Returned information

DOUBLE the cumulative probability distribution from minus infinity to point x.