A B C D E F G H L M N O P Q R S Z misc
DPQ-package | Density, Probability, Quantile ('DPQ') Computations |
algdiv | Compute log(gamma(b)/gamma(a+b)) when b >= 8 |
all_mpfr | Numerical Utilities - Functions, Constants |
any_mpfr | Numerical Utilities - Functions, Constants |
bd0 | Utility Functions for 'dgamma()' - Pure R Versions |
bd0C | Utility Functions for 'dgamma()' - Pure R Versions |
bd0_l1pm | Utility Functions for 'dgamma()' - Pure R Versions |
bd0_p1l1d | Utility Functions for 'dgamma()' - Pure R Versions |
bd0_p1l1d1 | Utility Functions for 'dgamma()' - Pure R Versions |
Bern | Bernoulli Numbers |
betaI | (Log) Beta Approximations |
bpser | 'pbeta()' 'bpser' series computation |
b_chi | Compute E[chi_nu]/sqrt(nu) useful for t- and chi-Distributions |
b_chiAsymp | Compute E[chi_nu]/sqrt(nu) useful for t- and chi-Distributions |
chebyshevEval | Chebyshev Polynomial Evaluation |
chebyshevPoly | Chebyshev Polynomial Evaluation |
chebyshev_nc | Chebyshev Polynomial Evaluation |
c_dt | Compute E[chi_nu]/sqrt(nu) useful for t- and chi-Distributions |
c_dtAsymp | Compute E[chi_nu]/sqrt(nu) useful for t- and chi-Distributions |
c_pt | Compute E[chi_nu]/sqrt(nu) useful for t- and chi-Distributions |
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 |
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 | Utility Functions for 'dgamma()' - Pure R Versions |
dpois_simpl | Utility Functions for 'dgamma()' - Pure R Versions |
dpois_simpl0 | Utility Functions for 'dgamma()' - Pure R Versions |
DPQ | Density, Probability, Quantile ('DPQ') Computations |
dpsifn | Psi Gamma Functions Workhorse from R's API |
dtWV | Noncentral t Distribution Density by Viechtbauer |
ebd0 | Utility Functions for 'dgamma()' - Pure R Versions |
ebd0C | Utility Functions for 'dgamma()' - Pure R Versions |
f05lchoose | R versions of Simple Formulas for Logarithmic Binomial Coefficients |
format01prec | Format Numbers in [0,1] with "Precise" Result |
frexp | Base-2 Representation and Multiplication of Numbers |
g2 | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities |
gammaVer | Gamma Function Versions |
gnt | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities |
G_half | Numerical Utilities - Functions, Constants |
h | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities |
h0 | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities |
h1 | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities |
h2 | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities |
hnt | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities |
hyper2binomP | Transform Hypergeometric Distribution Parameters to Binomial Probability |
lbetaI | (Log) Beta Approximations |
lbetaM | (Log) Beta Approximations |
lbetaMM | (Log) Beta Approximations |
lbeta_asy | (Log) Beta 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 | Utility Functions for 'dgamma()' - Pure R Versions |
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. | Continued Fraction Approximation of Log-Related Power Series |
logQab_asy | (Log) Beta 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) |
modf | Numerical Utilities - Functions, Constants |
M_cutoff | Numerical Utilities - Functions, Constants |
M_LN2 | Numerical Utilities - Functions, Constants |
M_minExp | Numerical Utilities - Functions, Constants |
M_SQRT2 | Numerical Utilities - Functions, Constants |
newton | Simple R level Newton Algorithm, Mostly for Didactical Reasons |
okLongDouble | Numerical Utilities - Functions, Constants |
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 |
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 |
ppoisD | Direct Computation of 'ppois()' Poisson Distribution Probabilities |
ppoisErr | Direct Computation of 'ppois()' Poisson Distribution Probabilities |
Qab_terms | (Log) Beta 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 |
rexpm1 | TOMS 708 Approximation REXP(x) of expm1(x) = exp(x) - 1 |
rlog1 | Accurate 'log(1+x) - x' Computation |
r_pois | Compute Relative Size of i-th term of Poisson Distribution Series |
r_pois_expr | Compute Relative Size of i-th term of Poisson Distribution Series |
scalefactor | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities |
ss | (Approximate) Probabilities of Non-Central Chi-squared Distribution |
ss2 | (Approximate) Probabilities of Non-Central Chi-squared Distribution |
ss2. | (Approximate) Probabilities of Non-Central Chi-squared Distribution |
stirlerr | Utility Functions for 'dgamma()' - Pure R Versions |
stirlerr_simpl | Utility Functions for 'dgamma()' - Pure R Versions |
sW | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities |
z.f | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities |
z.s | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities |
z0 | Wienergerm Approximations to (Non-Central) Chi-squared Probabilities |
.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 |
.qgammaApprBnd | Compute (Approximate) Quantiles of the Gamma Distribution |
.suppHyper | Compute Hypergeometric Probabilities via Binomial Approximations |