norsf(3f) - [M_datapac:SPARSITY] compute the normal sparsity function
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Input Arguments
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SUBROUTINE NORSF(P,Sf)
REAL(kind=wp),intent(in) :: P REAL(kind=wp),intent(out) :: Sf
NORSF(3f) computes the sparsity function value for the normal (Gaussian) distribution with mean = 0 and standard deviation = 1.This distribution is defined for all X and has the probability density function
f(X) = (1/sqrt(2*pi))*exp(-x*x/2)Note that the sparsity function of a distribution is the derivative of the percent point function, and also is the reciprocal of the probability density function (but in units of P rather than X).
P The value at which the sparsity function is to be evaluated. P should be between 0.0 and 1.0, exclusively.
SF The sparsity function value.
Sample program:
program demo_norsf use M_datapac, only : norsf implicit none ! call norsf(x,y) end program demo_norsfResults:
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o Filliben, Simple and Robust Linear Estimation of the Location Parameter of a Symmetric Distribution (Unpublished PH.D. Dissertation, Princeton University), 1969, pages 21-44, 229-231. o Filliben, ’The Percent Point Function’, (Unpublished Manuscript), 1970, pages 28-31. o Johnson and Kotz, Continuous Univariate Distributions--1, 1970, pages 40-111.
Nemo Release 3.1 | norsf (3) | February 23, 2025 |