| algdiv | Compute log(gamma(b)/gamma(a+b)) when b >= 8 |
| b_chi | Compute E[chi_nu]/sqrt(nu) useful for t- and... |
| Bern | Bernoulli Numbers |
| bpser | 'pbeta()' 'bpser' series computation |
| chebyshevPoly | Chebyshev Polynomial Evaluation |
| dbinom_raw | R's C Mathlib (Rmath) dbinom_raw() Binomial Probability pure... |
| dchisqApprox | Approximations of the (Noncentral) Chi-Squared Density |
| dgamma.R | Gamma Density Function Alternatives |
| dgamma-utils | Binomial Deviance - Auxiliary Functions for 'dgamma()' Etc |
| dhyperBinMolenaar | HyperGeometric (Point) Probabilities via Molenaar's Binomial... |
| dltgammaInc | TOMS 1006 - Fast and Accurate Generalized Incomplete Gamma... |
| dnbinomR | Pure R Versions of R's C (Mathlib) dnbinom() Negative... |
| dnt | Non-central t-Distribution Density - Algorithms and... |
| dot_D_utils | Distribution Utilities "dpq" |
| DPQ-package | Density, Probability, Quantile ('DPQ') Computations |
| dpsifn | Psi Gamma Functions Workhorse from R's API |
| dtWV | Asymptotic Noncentral t Distribution Density by Viechtbauer |
| expm1x | Accurate exp(x) - 1 - x (for smallish |x|) |
| format01prec | Format Numbers in [0,1] with "Precise" Result |
| fr_ld_exp | Base-2 Representation and Multiplication of Numbers |
| gam1d | Compute 1/Gamma(x+1) - 1 Accurately |
| gamln1 | Compute log( Gamma(x+1) ) Accurately in [-0.2, 1.25] |
| gammaVer | Gamma Function Versions |
| hyper2binomP | Transform Hypergeometric Distribution Parameters to Binomial... |
| Ixpq | Normalized Incomplete Beta Function "Like" 'pbeta()' |
| lbeta | (Log) Beta and Ratio of Gammas Approximations |
| lfastchoose | R versions of Simple Formulas for Logarithmic Binomial... |
| lgamma1p | Accurate 'log(gamma(a+1))' |
| lgammaAsymp | Asymptotic Log Gamma Function |
| lgammaP11 | Log Gamma(p) for Positive 'p' by Pugh's Method (11 Terms) |
| log1mexp | Compute log(1 - exp(-a)) and log(1 + exp(x)) Numerically... |
| log1pmx | Accurate 'log(1+x) - x' Computation |
| logcf | Continued Fraction Approximation of Log-Related Power Series |
| logspace.add | Logspace Arithmetix - Addition and Subtraction |
| lssum | Compute Logarithm of a Sum with Signed Large Summands |
| lsum | Properly Compute the Logarithm of a Sum (of Exponentials) |
| newton | Simple R level Newton Algorithm, Mostly for Didactical... |
| numer-utils | Numerical Utilities - Functions, Constants |
| p1l1 | Numerically Stable p1l1(t) = (t+1)*log(1+t) - t |
| pbetaRv1 | Pure R Implementation of Old pbeta() |
| phyperAllBin | Compute Hypergeometric Probabilities via Binomial... |
| phyperApprAS152 | Normal Approximation to cumulative Hyperbolic Distribution -... |
| phyperBin | HyperGeometric Distribution via Approximate Binomial... |
| phyperBinMolenaar | HyperGeometric Distribution via Molenaar's Binomial... |
| phyperIbeta | Pearson's incomplete Beta Approximation to the Hyperbolic... |
| phyperMolenaar | Molenaar's Normal Approximations to the Hypergeometric... |
| phyperPeizer | Peizer's Normal Approximation to the Cumulative Hyperbolic |
| phyperR | R-only version of R's original phyper() algorithm |
| phyperR2 | Pure R version of R's C level phyper() |
| phypers | The Four (4) Symmetric 'phyper()' Calls |
| pl2curves | Plot 2 Noncentral Distribution Curves for Visual Comparison |
| pnbeta | Noncentral Beta Probabilities |
| pnchi1sq | (Probabilities of Non-Central Chi-squared Distribution for... |
| pnchisqAppr | (Approximate) Probabilities of Non-Central Chi-squared... |
| pnchisqWienergerm | Wienergerm Approximations to (Non-Central) Chi-squared... |
| pnormAsymp | Asymptotic Approxmation of (Extreme Tail) 'pnorm()' |
| pnormLU | Bounds for 1-Phi(.) - Mill's Ratio related Bounds for pnorm() |
| pnt | Non-central t Probability Distribution - Algorithms and... |
| pow | X to Power of Y - R C API 'R_pow()' |
| pow1p | Accurate (1+x)^y, notably for small |x| |
| ppoisson | Direct Computation of 'ppois()' Poisson Distribution... |
| pt_Witkovsky_Tab1 | Viktor Witosky's Table_1 pt() Examples |
| qbetaAppr | Compute (Approximate) Quantiles of the Beta Distribution |
| qbinomR | Pure R Implementation of R's qbinom() with Tuning Parameters |
| qchisqAppr | Compute Approximate Quantiles of the Chi-Squared Distribution |
| qgammaAppr | Compute (Approximate) Quantiles of the Gamma Distribution |
| qnbinomR | Pure R Implementation of R's qnbinom() with Tuning Parameters |
| qnchisqAppr | Compute Approximate Quantiles of Noncentral Chi-Squared... |
| qnormAsymp | Asymptotic Approximation to Outer Tail of qnorm() |
| qnormR | Pure R version of R's 'qnorm()' with Diagnostics and Tuning... |
| qnormUappr | Approximations to 'qnorm()', i.e., z_alpha |
| qntR | Pure R Implementation of R's qt() / qnt() |
| qpoisR | Pure R Implementation of R's qpois() with Tuning Parameters |
| qtAppr | Compute Approximate Quantiles of the (Non-Central)... |
| qtR | Pure R Implementation of R's C-level t-Distribution Quantiles... |
| qtU | 'uniroot()'-based Computing of t-Distribution Quantiles |
| rexpm1 | TOMS 708 Approximation REXP(x) of expm1(x) = exp(x) - 1 |
| r_pois | Compute Relative Size of i-th term of Poisson Distribution... |
| stirlerr | Stirling's Error Function - Auxiliary for Gamma, Beta, etc |
