# DPQ v0.3-3

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Monthly downloads

## Density, Probability, Quantile ('DPQ') Computations

Computations for approximations and alternatives for the 'DPQ'
(Density (pdf), Probability (cdf) and Quantile) functions for probability
distributions in R.
Primary focus is on (central and non-central) beta, gamma and related
distributions such as the chi-squared, F, and t.
--
This is for the use of researchers in these numerical approximation
implementations, notably for my own use in order to improve R`s own
pbeta(), qgamma(), ..., etc: {'"dpq"'-functions}.
-- We plan to complement with 'DPQmpfr' to be suggested later.

## Functions in DPQ

Name | Description | |

dgamma.R | Gamma Density Function Alternatives | |

dtWV | Noncentral t Distribution Density by W.V. | |

dchisqApprox | Approximations of the (Noncentral) Chisquared Density | |

lbeta | (Log) Beta Approximations | |

format01prec | Format Numbers in [0,1] with "Precise" Result | |

b_chi | Compute \(E[\chi_\nu] / \sqrt{\nu}\) useful for t- and chi-Distributions | |

dgamma-utils | Utility Functions for dgamma() -- Pure R Versions | |

dnt | Non-central t-Distribution Density - Algorithms and Approximations | |

DPQ-package | DPQ | |

algdiv | Compute log(gamma(b)/gamma(a+b)) when b >= 8 | |

numer-utils | Numerical Utilities - Functions, Constants | |

lssum | Compute Logarithm of a Sum with Signed Large Summands | |

qbetaAppr | Compute (Approximate) Quantiles of the Beta Distribution | |

ppoisson | Direct Computation of 'ppois()' Poisson Distribution Probabilities | |

logspace.add | Logspace Arithmetix -- Addition and Subtraction | |

pnchi1sq | (Probabilities of Non-Central Chisquared Distribution for Special Cases | |

pbetaRv1 | Pure R Implementation of Old pbeta() | |

pnchisqAppr | (Approximate) Probabilities of Non-Central Chisquared Distribution | |

log1mexp | Compute f(a) = \(\mathrm{log}\)(1 - \(\mathrm{exp}\)(-a)) Numerically Optimally | |

lgamma1p | Accurate log(gamma(a+1)) | |

pl2curves | Plot 2 Noncentral Distribution Curves for Visual Comparison | |

log1pmx | Accurate log(1+x) - x | |

pnbeta | Noncentral Beta Probabilities | |

qnchisqAppr | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | |

qnormAppr | Approximations to 'qnorm()', i.e., \(z_\alpha\) | |

pnt | Non-central t Probability Distribution - Algorithms and Approximations | |

r_pois | Compute Relative Size of i-th term of Poisson Distribution Series | |

qtAppr | Compute Approximate Quantiles of Non-Central t Distribution | |

pnchisqWienergerm | Wienergerm Approximations to (Non-Central) Chisquare Probabilities | |

logcf | Continued Fraction Approximation of Log-Related Series | |

lsum | Properly Compute the Logarithm of a Sum | |

newton | Simple R level Newton Algorithm, Mostly for Didactical Reasons | |

qchisqAppr | Compute Approximate Quantiles of the Chi-Squared Distribution | |

qgammaAppr | Compute (Approximate) Quantiles of the Gamma Distribution | |

No Results! |

## Vignettes of DPQ

Name | ||

Noncentral-Chisq.Rnw | ||

R-numerics.bib | ||

comp-beta.Rnw | ||

No Results! |

## Last month downloads

## Details

Date | 2019-09-24 |

SuggestsNote | Matrix only for its "test-tools-1.R"; mgcv,scatt..,akima: some tests/ |

License | GPL (>= 2) |

Encoding | UTF-8 |

Repository | CRAN |

Repository/R-Forge/Project | specfun |

Repository/R-Forge/Revision | 111 |

Repository/R-Forge/DateTimeStamp | 2019-09-24 13:38:29 |

Date/Publication | 2019-10-02 09:00:02 UTC |

NeedsCompilation | yes |

Packaged | 2019-09-24 13:50:27 UTC; rforge |

suggests | akima , Matrix , mgcv , Rmpfr , scatterplot3d |

imports | graphics , methods , sfsmisc , stats , utils |

depends | R (>= 3.5.0) |

Contributors | R-core R-core@R-project.org, Ross Ihaka, Morten Welinder, Wolfgang Viechtbauer |

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