Package: PoissonBinomial 1.2.8

PoissonBinomial: Efficient Computation of Ordinary and Generalised Poisson Binomial Distributions

Efficient implementations of multiple exact and approximate methods as described in Hong (2013) <doi:10.1016/j.csda.2012.10.006>, Biscarri, Zhao & Brunner (2018) <doi:10.1016/j.csda.2018.01.007> and Zhang, Hong & Balakrishnan (2018) <doi:10.1080/00949655.2018.1440294> for computing the probability mass, cumulative distribution and quantile functions, as well as generating random numbers for both the ordinary and generalised Poisson binomial distribution.

Authors:Florian Junge [aut, cre]

PoissonBinomial_1.2.8.tar.gz
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PoissonBinomial_1.2.8.tgz(r-4.6-x86_64)PoissonBinomial_1.2.8.tgz(r-4.6-arm64)PoissonBinomial_1.2.8.tgz(r-4.5-x86_64)PoissonBinomial_1.2.8.tgz(r-4.5-arm64)
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PoissonBinomial_1.2.8.tgz(r-4.6-emscripten)
manual.pdf |manual.html✨
DESCRIPTION |NEWS
card.svg |card.png
PoissonBinomial/json (API)

# Install 'PoissonBinomial' in R:
install.packages('PoissonBinomial', repos = c('https://fj86.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/fj86/poissonbinomial/issues

Uses libs:
  • fftw3– Library for computing Fast Fourier Transforms
  • c++– GNU Standard C++ Library v3

On CRAN:

Conda:

fftw3cpp

5.68 score 3 stars 3 packages 17 scripts 2.6k downloads 8 exports 1 dependencies

Last updated from:695bff98be. Checks:13 OK. Indexed: yes.

TargetResultTimeFilesSyslog
linux-devel-arm64OK144
linux-devel-x86_64OK133
source / vignettesOK319
linux-release-arm64OK146
linux-release-x86_64OK128
macos-release-arm64OK105
macos-release-x86_64OK358
macos-oldrel-arm64OK108
macos-oldrel-x86_64OK290
windows-develOK104
windows-releaseOK99
windows-oldrelOK98
wasm-releaseOK143

Exports:dgpbinomdpbinompgpbinomppbinomqgpbinomqpbinomrgpbinomrpbinom

Dependencies:Rcpp

Approximate Procedures
Ordinary Poisson Binomial Distribution | Poisson Approximation | Arithmetic Mean Binomial Approximation | Geometric Mean Binomial Approximation - Variant A | Geometric Mean Binomial Approximation - Variant B | Normal Approximation | Refined Normal Approximation | Processing Speed Comparisons | Generalized Poisson Binomial Distribution | Generalized Normal Approximation | Generalized Refined Normal Approximation
Rendered fromproc_approx.Rmdusingknitr::rmarkdown

Last update: 2026-03-06
Started: 2021-07-28

Exact Procedures
Ordinary Poisson Binomial Distribution | Direct Convolution | Divide & Conquer FFT Tree Convolution | Discrete Fourier Transformation of the Characteristic Function | Recursive Formula | Processing Speed Comparisons | Generalized Poisson Binomial Distribution | Generalized Direct Convolution | Generalized Divide & Conquer FFT Tree Convolution | Generalized Discrete Fourier Transformation of the Characteristic Function
Rendered fromproc_exact.Rmdusingknitr::rmarkdown

Last update: 2026-03-06
Started: 2021-07-28

Efficient Computation of Ordinary and Generalized Poisson Binomial Distributions
Introduction | Ordinary Poisson Binomial Distribution | Generalized Poisson Binomial Distribution | Existing R Packages | Exact Procedures | Examples | Approximations | Handling special cases, zeros and ones | Ordinary Poisson Binomial Distributions | Generalized Poisson Binomial Distributions | Usage with Rcpp
Rendered fromintro.Rmdusingknitr::rmarkdown

Last update: 2022-05-31
Started: 2021-07-28

Usage with Rcpp
Making the functions usable | Important Remarks
Rendered fromuse_with_rcpp.Rmdusingknitr::rmarkdown

Last update: 2022-05-31
Started: 2021-07-28

Readme and manuals

Help Manual

Help pageTopics
Efficient Exact and Approximate Implementations for Computing Ordinary and Generalised Poisson Binomial DistributionsPoissonBinomial-package PoissonBinomial
The Generalised Poisson Binomial Distributiondgpbinom GenPoissonBinomial-Distribution pgpbinom qgpbinom rgpbinom
The Poisson Binomial Distributiondpbinom PoissonBinomial-Distribution ppbinom qpbinom rpbinom