Density, Probability, Quantile ('DPQ') Computations

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Documentation for package ‘DPQ’ version 0.3-5

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A B C D F G H L M N O P Q R S Z misc

DPQ-package Density, Probability, Quantile ('DPQ') Computations

-- A --

algdiv Compute log(gamma(b)/gamma(a+b)) when b >= 8
all_mpfr Numerical Utilities - Functions, Constants
any_mpfr Numerical Utilities - Functions, Constants

-- B --

bd0 Utility Functions for 'dgamma()' - Pure R Versions
betaI (Log) Beta Approximations
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

-- C --

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

-- D --

dchisqAsym Approximations of the (Noncentral) Chi-Squared Density
dgamma.R Gamma Density Function Alternatives
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
DPQ Density, Probability, Quantile ('DPQ') Computations
dtWV Noncentral t Distribution Density by W.V.

-- F --

format01prec Format Numbers in [0,1] with "Precise" Result

-- G --

g2 Wienergerm Approximations to (Non-Central) Chi-squared Probabilities
gnt Wienergerm Approximations to (Non-Central) Chi-squared Probabilities
G_half Numerical Utilities - Functions, Constants

-- H --

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

-- L --

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
lgamma1p Accurate 'log(gamma(a+1))'
lgamma1p. Accurate 'log(gamma(a+1))'
lgamma1p_series Accurate 'log(gamma(a+1))'
log1mexp Compute f(a) = log(1 - exp(-a)) Numerically Optimally
log1pmx Accurate 'log(1+x) - x'
logcf Continued Fraction Approximation of Log-Related 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

-- M --

M_cutoff Numerical Utilities - Functions, Constants
M_LN2 Numerical Utilities - Functions, Constants
M_minExp Numerical Utilities - Functions, Constants

-- N --

newton Simple R level Newton Algorithm, Mostly for Didactical Reasons

-- O --

okLongDouble Numerical Utilities - Functions, Constants

-- P --

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
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
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

-- Q --

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
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
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
qnormUappr Approximations to 'qnorm()', i.e., z_alpha
qs Wienergerm Approximations to (Non-Central) Chi-squared Probabilities
qtAppr Compute Approximate Quantiles of Non-Central t Distribution

-- R --

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

-- S --

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

-- Z --

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

-- misc --

.dntJKBch Non-central t-Distribution Density - Algorithms and Approximations
.dntJKBch1 Non-central t-Distribution Density - Algorithms and Approximations
.qgammaApprBnd Compute (Approximate) Quantiles of the Gamma Distribution