% Generated by roxygen2: do not edit by hand
% Please edit documentation in R/PoissonBinomial.R
\docType{package}
\name{PoissonBinomial-package}
\alias{PoissonBinomial-package}
\title{Efficient Exact and Approximate Implementations for Computing Ordinary and Generalized Poisson Binomial Distributions}
\description{
This package implements various algorithms for computing the probability mass
function, the cumulative distribution function, quantiles and random numbers
of both ordinary and generalized Poisson binomial distributions.
}
\section{References}{

Hong, Y. (2013). On computing the distribution function for the Poisson
   binomial distribution. \emph{Computational Statistics & Data Analysis},
   \strong{59}, pp. 41-51. doi:
   \href{https://doi.org/10.1016/j.csda.2012.10.006}{
   10.1016/j.csda.2012.10.006}

Biscarri, W., Zhao, S. D. and Brunner, R. J. (2018) A simple and fast method
   for computing the Poisson binomial distribution.
   \emph{Computational Statistics and Data Analysis}, \strong{31}, pp.
   216–222. doi: \href{https://doi.org/10.1016/j.csda.2018.01.007}{
   10.1016/j.csda.2018.01.007}
   
Zhang, M., Hong, Y. and Balakrishnan, N. (2018). The generalized 
   Poisson-binomial distribution and the computation of its distribution
   function. \emph{Journal of Statistical Computational and Simulation},
   \strong{88}(8), pp. 1515-1527. doi:
   \href{https://doi.org/10.1080/00949655.2018.1440294}{
   10.1080/00949655.2018.1440294}
}

\examples{
# Functions for ordinary Poisson binomial distributions
set.seed(1)
pp <- c(1, 0, runif(10), 1, 0, 1)
qq <- seq(0, 1, 0.01)

dpbinom(NULL, pp)
ppbinom(7:10, pp, method = "DivideFFT")
qpbinom(qq, pp, method = "Convolve")
rpbinom(10, pp, method = "RefinedNormal")

# Functions for generalized Poisson binomial distributions
va <- rep(5, length(pp))
vb <- 1:length(pp)

dgpbinom(NULL, pp, va, vb, method = "Convolve")
pgpbinom(80:100, pp, va, vb, method = "Convolve")
qgpbinom(qq, pp, va, vb, method = "Convolve")
rgpbinom(100, pp, va, vb, method = "Convolve")
}
