C Library Functions  - dexplt (3)

NAME

dexplt(3f) - [M_datapac:LINE_PLOT] generate a double exponential probability plot

CONTENTS

Synopsis
Description
Options
Examples
Author
Maintainer
License
References

SYNOPSIS

SUBROUTINE DEXPLT(X,N)

DESCRIPTION

dexplt(3f) generates a double exponential (laplace) probability plot.

the prototype double exponential distribution used herein has mean = 0 and standard deviation = sqrt(2).

this distribution is defined for all x and has the probability density function

       f(x) = 0.5 * exp(-abs(x)).

as used herein, a probability plot for a distribution is a plot of the ordered observations versus the order statistic medians for that distribution.

the double exponential probability plot is useful in graphically testing the composite (that is, location and scale parameters need not be specified) hypothesis that the underlying distribution from which the data have been randomly drawn is the double exponential distribution.

if the hypothesis is true, the probability plot should be near-linear.

a measure of such linearity is given by the calculated probability plot correlation coefficient.

OPTIONS

X description of parameter
Y description of parameter

EXAMPLES

Sample program:

   program demo_dexplt
   use M_datapac, only : dexplt
   implicit none
   ! call dexplt(x,y)
   end program demo_dexplt

Results:

AUTHOR

The original DATAPAC library was written by James Filliben of the Statistical Engineering Division, National Institute of Standards and Technology.

MAINTAINER

John Urban, 2022.05.31

LICENSE

CC0-1.0

REFERENCES

o FILLIBEN, ’TECHNIQUES FOR TAIL LENGTH ANALYSIS’, PROCEEDINGS OF THE

    EIGHTEENTH CONFERENCE ON THE DESIGN OF EXPERIMENTS IN ARMY RESEARCH

DEVELOPMENT AND TESTING (ABERDEEN, MARYLAND, OCTOBER, 1972), pages 425-450.
o HAHN AND SHAPIRO, STATISTICAL METHODS IN ENGINEERING, 1967, pages 260-308.
o JOHNSON AND KOTZ, CONTINUOUS UNIVARIATE DISTRIBUTIONS--2, 1970, pages 22-36.


Nemo Release 3.1 dexplt (3) July 22, 2023
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