DPQ v0.3-3
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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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