QLOGIS_H - High-tail inverse logistic distribution

The QLOGIS_H function returns the value x of a variable that follows the logistic distribution for which the probability of being greater than x is equal to the specified percentage.

Syntax

IDAX.QLOGIS_H(DOUBLE percentage, DOUBLE mean, DOUBLE
scale)

Parameter descriptions

percentage
Mandatory.
The requested limit of the percentage.
If percentage is not in the range of 0 - 1, QLOGIS_H(percentage,mean,scale) is null for all mean values and positive scale values.
Min: 0.00000000001
Max: 0.99999999999
Data type: DOUBLE
mean
Mandatory.
The mean value of the distribution.
Data type: DOUBLE
scale
Mandatory.
The scale of the distribution.
If scale is 0 or less, QLOGIS_H(percentage,mean,scale) is null for all percentage values and mean values.
Min: 0.000000001
Data type: DOUBLE

QLOGIS_H(perc,mean,scale)=QLOGIS(1-perc,mean,scale) for perc values in the range of 0 - 1, mean values, and positive scale values.

If PLOGIS_H(x,mean,scale)=perc, QLOGIS_H(perc,mean,scale)=x for all x values, mean values, positive scale values.

Returned information

DOUBLE the point x where PLOGIS_H(x,mean,scale)=percentage.