PoissonBinomial-package | R Documentation |
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.
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Zhang, M., Hong, Y. and Balakrishnan, N. (2018). The generalized Poisson-binomial distribution and the computation of its distribution function. Journal of Statistical Computational and Simulation, 88(8), pp. 1515-1527. doi: 10.1080/00949655.2018.1440294
# 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")
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