DPQ0.5-9 package

Transform Hypergeometric Distribution Parameters to Binomial Probabili...

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

Chebyshev Polynomial Evaluation

R's C Mathlib (Rmath) dbinom_raw() Binomial Probability pure R Functio...

Approximations of the (Noncentral) Chi-Squared Density

Binomial Deviance -- Auxiliary Functions for dgamma() Etc

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

Compute $E[chi_nu]/sqrt(nu)$useful for t- and chi-Distributions

Bernoulli Numbers

pbeta() 'bpser' series computation

Gamma Density Function Alternatives

HyperGeometric (Point) Probabilities via Molenaar's Binomial Approxima...

Pure R Versions of R's C (Mathlib) dnbinom() Negative Binomial Probabi...

Non-central t-Distribution Density - Algorithms and Approximations

Distribution Utilities "dpq"

tools:::Rd_package_title("DPQ")

Psi Gamma Functions Workhorse from R's API

Asymptotic Noncentral t Distribution Density by Viechtbauer

Accurate exp(x) - 1 - x (for smallish |x|)

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

Base-2 Representation and Multiplication of Numbers

Compute 1/Gamma(x+1) - 1 Accurately

Compute log( Gamma(x+1) ) Accurately in [-0.2, 1.25]

Gamma Function Versions

Normalized Incomplete Beta Function "Like" pbeta()

(Log) Beta and Ratio of Gammas Approximations

R versions of Simple Formulas for Logarithmic Binomial Coefficients

Accurate log(gamma(a+1))

Asymptotic Log Gamma Function

Compute $log$(1 - $exp$(-a)) and $log(1 + exp(x))$ Numerically Optimal...

Accurate log(1+x) - x Computation

Continued Fraction Approximation of Log-Related Power Series

Logspace Arithmetix -- Addition and Subtraction

Compute Logarithm of a Sum with Signed Large Summands

Properly Compute the Logarithm of a Sum (of Exponentials)

Simple R level Newton Algorithm, Mostly for Didactical Reasons

Numerical Utilities - Functions, Constants

Numerically Stable p1l1(t) = (t+1)*log(1+t) - t

Pure R Implementation of Old pbeta()

Compute Hypergeometric Probabilities via Binomial Approximations

Normal Approximation to cumulative Hyperbolic Distribution -- AS 152

HyperGeometric Distribution via Approximate Binomial Distribution

HyperGeometric Distribution via Molenaar's Binomial Approximation

Pearson's incomplete Beta Approximation to the Hyperbolic Distribution

Molenaar's Normal Approximations to the Hypergeometric Distribution

Peizer's Normal Approximation to the Cumulative Hyperbolic

-only version of 's original phyper() algorithm

Pure R version of R's C level phyper()

The Four (4) Symmetric 'phyper()' Calls

Plot 2 Noncentral Distribution Curves for Visual Comparison

Noncentral Beta Probabilities

(Probabilities of Non-Central Chi-squared Distribution for Special Cas...

(Approximate) Probabilities of Non-Central Chi-squared Distribution

Wienergerm Approximations to (Non-Central) Chi-squared Probabilities

Asymptotic Approxmation of (Extreme Tail) 'pnorm()'

Bounds for 1-Phi(.) -- Mill's Ratio related Bounds for pnorm()

Non-central t Probability Distribution - Algorithms and Approximations

X to Power of Y -- R C API R_pow()

Accurate $(1+x)^y$, notably for small $|x|$

Direct Computation of 'ppois()' Poisson Distribution Probabilities

Viktor Witosky's Table_1 pt() Examples

Compute (Approximate) Quantiles of the Beta Distribution

Pure R Implementation of R's qbinom() with Tuning Parameters

Compute Approximate Quantiles of the Chi-Squared Distribution

Compute (Approximate) Quantiles of the Gamma Distribution

Pure R Implementation of R's qnbinom() with Tuning Parameters

Compute Approximate Quantiles of Noncentral Chi-Squared Distribution

Asymptotic Approximation to Outer Tail of qnorm()

Pure R version of 's qnorm() with Diagnostics and Tuning Parameters

Pure R Implementation of R's qt() / qnt()

Pure R Implementation of R's qpois() with Tuning Parameters

Compute Approximate Quantiles of the (Non-Central) t-Distribution

Pure Implementation of 's C-level t-Distribution Quantiles qt()

'uniroot()'-based Computing of t-Distribution Quantiles

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

TOMS 708 Approximation REXP(x) of expm1(x) = exp(x) - 1

Stirling's Error Function - Auxiliary for Gamma, Beta, etc