DPQmpfr-package {DPQmpfr}R Documentation

DPQ (Density, Probability, Quantile) Distribution Computations using MPFR

Description

An extension to the 'DPQ' package with computations for 'DPQ' (Density (pdf), Probability (cdf) and Quantile) functions, where the functions here partly use the 'Rmpfr' package and hence the underlying 'MPFR' and 'GMP' C libraries.

Details

The DESCRIPTION file:

Package: DPQmpfr
Title: DPQ (Density, Probability, Quantile) Distribution Computations using MPFR
Version: 0.3-2
Date: 2023-12-04
Authors@R: person("Martin","Maechler", role=c("aut","cre"), email="maechler@stat.math.ethz.ch", comment = c(ORCID = "0000-0002-8685-9910"))
Description: An extension to the 'DPQ' package with computations for 'DPQ' (Density (pdf), Probability (cdf) and Quantile) functions, where the functions here partly use the 'Rmpfr' package and hence the underlying 'MPFR' and 'GMP' C libraries.
Depends: R (>= 3.6.0)
Imports: DPQ (>= 0.5-3), Rmpfr (>= 0.9-0), gmp, sfsmisc, stats, graphics, methods, utils
Suggests: Matrix
SuggestsNote: Matrix for its test-tools-1.R
License: GPL (>= 2)
Encoding: UTF-8
URL: https://specfun.r-forge.r-project.org/, https://r-forge.r-project.org/R/?group_id=611, https://r-forge.r-project.org/scm/viewvc.php/pkg/DPQmpfr/?root=specfun, svn://svn.r-forge.r-project.org/svnroot/specfun/pkg/DPQmpfr
BugReports: https://r-forge.r-project.org/tracker/?atid=2462&group_id=611
Author: Martin Maechler [aut, cre] (<https://orcid.org/0000-0002-8685-9910>)
Maintainer: Martin Maechler <maechler@stat.math.ethz.ch>

Index of help topics: 

DPQmpfr-package         DPQ (Density, Probability, Quantile)
                        Distribution Computations using MPFR
dbetaD94                Ding(1994) (non-central) Beta Distribution
                        Functions
dhyperQ                 Exact Hypergeometric Distribution Probabilites
dntJKBm                 Non-central t-Distribution Density
ldexp                   Numeric / Mpfr Utilities for DPQmpfr
pnormAsymp              Asymptotic Approximations of Extreme Tail
                        'pnorm()' and 'qnorm()'
pnormL_LD10             Bounds for 1-Phi(.) - Mill's Ratio related
                        Bounds for pnorm()
qbBaha2017              Accurate qbeta() values from Baharev et al
                        (2017)'s Program
stirlerrM               Stirling Formula Approximation Error

Author(s)

Martin Maechler [aut, cre] (<https://orcid.org/0000-0002-8685-9910>)

Maintainer: Martin Maechler <maechler@stat.math.ethz.ch>

See Also

Packages DPQ, Rmpfr are both used by this package.

Examples

## An example how mpfr-numbers  "just work" with reasonable R functions:
.srch <- search() ; doAtt <- is.na(match("Rmpfr:package", .srch))
if(doAtt) require(Rmpfr)
nu.s <- 2^seqMpfr(mpfr(-30, 64), mpfr(100, 64), by = 1/mpfr(4, 64))
b0 <- DPQ::b_chi(nu.s)
b1 <- DPQ::b_chi(nu.s, one.minus=TRUE)
stopifnot(inherits(b0,"mpfr"), inherits(b1, "mpfr"),
          b0+b1 == 1,  diff(log(b1)) < 0)
plot(nu.s,          log(b1),  type="l", log="x")
plot(nu.s[-1], diff(log(b1)), type="l", log="x")
if(doAtt) # detach the package(s) we've attached above
  for(pkg in setdiff(search(), .srch)) detach(pkg, character.only=TRUE)
[Package DPQmpfr version 0.3-2 Index]