C Library Functions - geoplt (3)
NAME
geoplt(3f) - [M_datapac:LINE_PLOT] generate a geometric probability plot
CONTENTS
Synopsis
Description
Options
Examples
Author
Maintainer
License
References
SYNOPSIS
SUBROUTINE GEOPLT(X,N,P)
DESCRIPTION
geoplt(3f) generates a geometric probability plot (with ’bernoulli probability’ parameter value = p).the geometric distribution used herein has mean = (1-p)/p and standard deviation = sqrt((1-p)/(p*p))). this distribution is defined for all non-negative integer x--x = 0, 1, 2, ... . this distribution has the probability function
f(x) = p * (1-p)**x.the geometric distribution is the distribution of the number of failures before obtaining 1 success in an indefinite sequence of bernoulli (0,1) trials where the probability of success in a precision trial = p.
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 geometric 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 geometric distribution with probability parameter value = p.
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_geoplt use M_datapac, only : geoplt implicit none ! call geoplt(x,y) end program demo_geopltResults:
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 |
FELLER, AN INTRODUCTION TO PROBABILITY THEORY AND ITS APPLICATIONS,
VOLUME 1, EDITION 2, 1957, pages 155-157, 210.
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| Nemo Release 3.1 | geoplt (3) | July 22, 2023 |
