| dbinom_raw | R's C Mathlib (Rmath) dbinom_raw() Binomial Probability pure R Function | 
| dchisqAsym | Approximations of the (Noncentral) Chi-Squared Density | 
| dgamma.R | Gamma Density Function Alternatives | 
| dhyperBinMolenaar | HyperGeometric (Point) Probabilities via Molenaar's Binomial Approximation | 
| dltgammaInc | TOMS 1006 - Fast and Accurate Generalized Incomplete Gamma Function | 
| dnbinom.mu | Pure R Versions of R's C (Mathlib) dnbinom() Negative Binomial Probabilities | 
| dnbinomR | Pure R Versions of R's C (Mathlib) dnbinom() Negative Binomial Probabilities | 
| dnchisqBessel | Approximations of the (Noncentral) Chi-Squared Density | 
| dnchisqR | Approximations of the (Noncentral) Chi-Squared Density | 
| dnoncentchisq | Approximations of the (Noncentral) Chi-Squared Density | 
| dntJKBf | Non-central t-Distribution Density - Algorithms and Approximations | 
| dntJKBf1 | Non-central t-Distribution Density - Algorithms and Approximations | 
| dpois_raw | Binomial Deviance - Auxiliary Functions for 'dgamma()' Etc | 
| dpois_simpl | Binomial Deviance - Auxiliary Functions for 'dgamma()' Etc | 
| dpois_simpl0 | Binomial Deviance - Auxiliary Functions for 'dgamma()' Etc | 
| DPQ | Density, Probability, Quantile ('DPQ') Computations | 
| dpsifn | Psi Gamma Functions Workhorse from R's API | 
| dtWV | Asymptotic Noncentral t Distribution Density by Viechtbauer | 
| lbetaI | (Log) Beta and Ratio of Gammas Approximations | 
| lbetaM | (Log) Beta and Ratio of Gammas Approximations | 
| lbetaMM | (Log) Beta and Ratio of Gammas Approximations | 
| lbeta_asy | (Log) Beta and Ratio of Gammas Approximations | 
| lb_chi0 | Compute E[chi_nu]/sqrt(nu) useful for t- and chi-Distributions | 
| lb_chi00 | Compute E[chi_nu]/sqrt(nu) useful for t- and chi-Distributions | 
| lb_chiAsymp | Compute E[chi_nu]/sqrt(nu) useful for t- and chi-Distributions | 
| ldexp | Base-2 Representation and Multiplication of Numbers | 
| lfastchoose | R versions of Simple Formulas for Logarithmic Binomial Coefficients | 
| lgamma1p | Accurate 'log(gamma(a+1))' | 
| lgamma1p. | Accurate 'log(gamma(a+1))' | 
| lgamma1pC | Accurate 'log(gamma(a+1))' | 
| lgamma1p_series | Accurate 'log(gamma(a+1))' | 
| lgammaAsymp | Asymptotic Log Gamma Function | 
| lgammacor | Stirling's Error Function - Auxiliary for Gamma, Beta, etc | 
| 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 Optimally | 
| log1mexpC | Compute log(1 - exp(-a)) and log(1 + exp(x)) Numerically Optimally | 
| log1pexpC | Compute log(1 - exp(-a)) and log(1 + exp(x)) Numerically Optimally | 
| log1pmx | Accurate 'log(1+x) - x' Computation | 
| log1pmxC | Accurate 'log(1+x) - x' Computation | 
| logcf | Continued Fraction Approximation of Log-Related Power Series | 
| logcfR | Continued Fraction Approximation of Log-Related Power Series | 
| logcfR_vec | Continued Fraction Approximation of Log-Related Power Series | 
| logQab_asy | (Log) Beta and Ratio of Gammas Approximations | 
| logr | Numerical Utilities - Functions, Constants | 
| logspace.add | Logspace Arithmetix - Addition and Subtraction | 
| logspace.sub | 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) | 
| p1l1 | Numerically Stable p1l1(t) = (t+1)*log(1+t) - t | 
| p1l1. | Numerically Stable p1l1(t) = (t+1)*log(1+t) - t | 
| p1l1p | Numerically Stable p1l1(t) = (t+1)*log(1+t) - t | 
| p1l1ser | Numerically Stable p1l1(t) = (t+1)*log(1+t) - t | 
| pbetaRv1 | Pure R Implementation of Old pbeta() | 
| pchisqV | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities | 
| pchisqW | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities | 
| pchisqW. | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities | 
| pchisqW.R | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities | 
| pdhyper | Pure R version of R's C level phyper() | 
| phyper1molenaar | Molenaar's Normal Approximations to the Hypergeometric Distribution | 
| phyper2molenaar | Molenaar's Normal Approximations to the Hypergeometric Distribution | 
| phyperAllBin | Compute Hypergeometric Probabilities via Binomial Approximations | 
| phyperAllBinM | Compute Hypergeometric Probabilities via Binomial Approximations | 
| phyperApprAS152 | Normal Approximation to cumulative Hyperbolic Distribution - AS 152 | 
| phyperBin.1 | HyperGeometric Distribution via Approximate Binomial Distribution | 
| phyperBin.2 | HyperGeometric Distribution via Approximate Binomial Distribution | 
| phyperBin.3 | HyperGeometric Distribution via Approximate Binomial Distribution | 
| phyperBin.4 | HyperGeometric Distribution via Approximate Binomial Distribution | 
| phyperBinMolenaar | HyperGeometric Distribution via Molenaar's Binomial Approximation | 
| phyperBinMolenaar.1 | HyperGeometric Distribution via Molenaar's Binomial Approximation | 
| phyperBinMolenaar.2 | HyperGeometric Distribution via Molenaar's Binomial Approximation | 
| phyperBinMolenaar.3 | HyperGeometric Distribution via Molenaar's Binomial Approximation | 
| phyperBinMolenaar.4 | HyperGeometric Distribution via Molenaar's Binomial Approximation | 
| phyperIbeta | Pearson's incomplete Beta Approximation to the Hyperbolic Distribution | 
| 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 | 
| plRpois | Compute Relative Size of i-th term of Poisson Distribution Series | 
| pnbetaAppr2 | Noncentral Beta Probabilities | 
| pnbetaAppr2v1 | Noncentral Beta Probabilities | 
| pnbetaAS310 | Noncentral Beta Probabilities | 
| pnchi1sq | (Probabilities of Non-Central Chi-squared Distribution for Special Cases | 
| pnchi3sq | (Probabilities of Non-Central Chi-squared Distribution for Special Cases | 
| pnchisq | (Approximate) Probabilities of Non-Central Chi-squared Distribution | 
| pnchisqAbdelAty | (Approximate) Probabilities of Non-Central Chi-squared Distribution | 
| pnchisqBolKuz | (Approximate) Probabilities of Non-Central Chi-squared Distribution | 
| pnchisqIT | (Approximate) Probabilities of Non-Central Chi-squared Distribution | 
| pnchisqPatnaik | (Approximate) Probabilities of Non-Central Chi-squared Distribution | 
| pnchisqPearson | (Approximate) Probabilities of Non-Central Chi-squared Distribution | 
| pnchisqRC | (Approximate) Probabilities of Non-Central Chi-squared Distribution | 
| pnchisqSankaran_d | (Approximate) Probabilities of Non-Central Chi-squared Distribution | 
| pnchisqT93 | (Approximate) Probabilities of Non-Central Chi-squared Distribution | 
| pnchisqT93.a | (Approximate) Probabilities of Non-Central Chi-squared Distribution | 
| pnchisqT93.b | (Approximate) Probabilities of Non-Central Chi-squared Distribution | 
| pnchisqTerms | (Approximate) Probabilities of Non-Central Chi-squared Distribution | 
| pnchisqV | (Approximate) Probabilities of Non-Central Chi-squared Distribution | 
| pnchisq_ss | (Approximate) Probabilities of Non-Central Chi-squared Distribution | 
| pnormAsymp | Asymptotic Approxmation of (Extreme Tail) 'pnorm()' | 
| pnormL_LD10 | Bounds for 1-Phi(.) - Mill's Ratio related Bounds for pnorm() | 
| pnormU_S53 | Bounds for 1-Phi(.) - Mill's Ratio related Bounds for pnorm() | 
| pnt3150 | Non-central t Probability Distribution - Algorithms and Approximations | 
| pnt3150.1 | Non-central t Probability Distribution - Algorithms and Approximations | 
| pntChShP94 | Non-central t Probability Distribution - Algorithms and Approximations | 
| pntChShP94.1 | Non-central t Probability Distribution - Algorithms and Approximations | 
| pntGST23_1 | Non-central t Probability Distribution - Algorithms and Approximations | 
| pntGST23_T6 | Non-central t Probability Distribution - Algorithms and Approximations | 
| pntGST23_T6.1 | Non-central t Probability Distribution - Algorithms and Approximations | 
| pntJW39 | Non-central t Probability Distribution - Algorithms and Approximations | 
| pntJW39.0 | Non-central t Probability Distribution - Algorithms and Approximations | 
| pntLrg | Non-central t Probability Distribution - Algorithms and Approximations | 
| pntP94 | Non-central t Probability Distribution - Algorithms and Approximations | 
| pntP94.1 | Non-central t Probability Distribution - Algorithms and Approximations | 
| pntR | Non-central t Probability Distribution - Algorithms and Approximations | 
| pntR1 | Non-central t Probability Distribution - Algorithms and Approximations | 
| pntVW13 | Non-central t Probability Distribution - Algorithms and Approximations | 
| pow | X to Power of Y - R C API 'R_pow()' | 
| pow1p | Accurate (1+x)^y, notably for small |x| | 
| pow_di | X to Power of Y - R C API 'R_pow()' | 
| ppoisD | Direct Computation of 'ppois()' Poisson Distribution Probabilities | 
| ppoisErr | Direct Computation of 'ppois()' Poisson Distribution Probabilities | 
| pt_Witkovsky_Tab1 | Viktor Witosky's Table_1 pt() Examples | 
| Qab_terms | (Log) Beta and Ratio of Gammas Approximations | 
| qbeta.R | Compute (Approximate) Quantiles of the Beta Distribution | 
| qbetaAppr | Compute (Approximate) Quantiles of the Beta Distribution | 
| qbetaAppr.1 | Compute (Approximate) Quantiles of the Beta Distribution | 
| qbetaAppr.2 | Compute (Approximate) Quantiles of the Beta Distribution | 
| qbetaAppr.3 | Compute (Approximate) Quantiles of the Beta Distribution | 
| qbetaAppr.4 | 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 | 
| qchisqAppr.0 | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | 
| qchisqAppr.1 | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | 
| qchisqAppr.2 | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | 
| qchisqAppr.3 | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | 
| qchisqAppr.R | Compute Approximate Quantiles of the Chi-Squared Distribution | 
| qchisqApprCF1 | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | 
| qchisqApprCF2 | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | 
| qchisqCappr.2 | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | 
| qchisqKG | Compute Approximate Quantiles of the Chi-Squared Distribution | 
| qchisqN | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | 
| qchisqWH | Compute Approximate Quantiles of the Chi-Squared Distribution | 
| qgamma.R | Compute (Approximate) Quantiles of the Gamma Distribution | 
| qgammaAppr | Compute (Approximate) Quantiles of the Gamma Distribution | 
| qgammaApprKG | Compute (Approximate) Quantiles of the Gamma Distribution | 
| qgammaApprSmallP | Compute (Approximate) Quantiles of the Gamma Distribution | 
| qnbinomR | Pure R Implementation of R's qnbinom() with Tuning Parameters | 
| qnchisqAbdelAty | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | 
| qnchisqAppr | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | 
| qnchisqBolKuz | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | 
| qnchisqPatnaik | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | 
| qnchisqPearson | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | 
| qnchisqSankaran_d | Compute Approximate Quantiles of Noncentral Chi-Squared Distribution | 
| qnormAppr | Approximations to 'qnorm()', i.e., z_alpha | 
| qnormAsymp | Asymptotic Approximation to Outer Tail of qnorm() | 
| qnormCappr | Approximations to 'qnorm()', i.e., z_alpha | 
| qnormR | Pure R version of R's 'qnorm()' with Diagnostics and Tuning Parameters | 
| qnormR1 | Pure R version of R's 'qnorm()' with Diagnostics and Tuning Parameters | 
| qnormUappr | Approximations to 'qnorm()', i.e., z_alpha | 
| qnormUappr6 | Approximations to 'qnorm()', i.e., z_alpha | 
| qntR | Pure R Implementation of R's qt() / qnt() | 
| qntR1 | Pure R Implementation of R's qt() / qnt() | 
| qpoisR | Pure R Implementation of R's qpois() with Tuning Parameters | 
| qs | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities | 
| qtAppr | Compute Approximate Quantiles of the (Non-Central) t-Distribution | 
| qtNappr | Compute Approximate Quantiles of the (Non-Central) t-Distribution | 
| qtR | Pure R Implementation of R's C-level t-Distribution Quantiles 'qt()' | 
| qtR1 | Pure R Implementation of R's C-level t-Distribution Quantiles 'qt()' | 
| qtU | 'uniroot()'-based Computing of t-Distribution Quantiles | 
| qtU1 | 'uniroot()'-based Computing of t-Distribution Quantiles | 
| .dntJKBch | Non-central t-Distribution Density - Algorithms and Approximations | 
| .dntJKBch1 | Non-central t-Distribution Density - Algorithms and Approximations | 
| .DT_0 | Distribution Utilities "dpq" | 
| .DT_1 | Distribution Utilities "dpq" | 
| .DT_Cexp | Distribution Utilities "dpq" | 
| .DT_CIv | Distribution Utilities "dpq" | 
| .DT_Clog | Distribution Utilities "dpq" | 
| .DT_Cval | Distribution Utilities "dpq" | 
| .DT_exp | Distribution Utilities "dpq" | 
| .DT_Log | Distribution Utilities "dpq" | 
| .DT_log | Distribution Utilities "dpq" | 
| .DT_qIv | Distribution Utilities "dpq" | 
| .DT_val | Distribution Utilities "dpq" | 
| .D_0 | Distribution Utilities "dpq" | 
| .D_1 | Distribution Utilities "dpq" | 
| .D_Clog | Distribution Utilities "dpq" | 
| .D_Cval | Distribution Utilities "dpq" | 
| .D_exp | Distribution Utilities "dpq" | 
| .D_LExp | Distribution Utilities "dpq" | 
| .D_log | Distribution Utilities "dpq" | 
| .D_Lval | Distribution Utilities "dpq" | 
| .D_qIv | Distribution Utilities "dpq" | 
| .D_val | Distribution Utilities "dpq" | 
| .p1l1ser | Numerically Stable p1l1(t) = (t+1)*log(1+t) - t | 
| .pow | X to Power of Y - R C API 'R_pow()' | 
| .qgammaApprBnd | Compute (Approximate) Quantiles of the Gamma Distribution | 
| .suppHyper | Compute Hypergeometric Probabilities via Binomial Approximations |