extrem(3f) - [M_datapac:STATISTICS] determine whether a type 1 or type 2 extreme value distribution better fits a given data set
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SUBROUTINE EXTREM(X,N)
extrem(3f) performs an extreme value analysis on the data in the input vector x.this analysis consists of determining that particular extreme value type 1 or extreme value type 2 distribution which best fits the data set.
the goodness of fit criterion is the maximum probability plot correlation coefficient criterion.
after the best-fit distribution is determined, estimates are computed and printed out for the location and scale parameters.
two probability plots are also printed out-- the best-fit type 2 probability plot (if the best fit was in fact a type 2), and the type 1 probability plot.
predicted extremes for various return periods are also computed and printed out.
X description of parameter Y description of parameter
Sample program:
program demo_extrem use M_datapac, only : extrem implicit none ! call extrem(x,y) end program demo_extremResults:
The original DATAPAC library was written by James Filliben of the Statistical Engineering Division, National Institute of Standards and Technology.
John Urban, 2022.05.31
CC0-1.0
o FILLIBEN (1972), TECHNIQUES FOR TAIL LENGTH ANALYSIS, PROCEEDINGS
RESEARCH AND TESTING, pages 425-450.
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FILLIBEN, THE PERCENT POINT FUNCTION, UNPUBLISHED MANUSCRIPT.
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Nemo Release 3.1 | extrem (3) | February 23, 2025 |