Description
Fractional Binomial Distributions.
Description
Generating fractional binomial random variables and computing density, cumulative distribution, and quantiles of fractional binomial distributions. (Lee, J. (2023) <arXiv:2209.01516>.)
README.md
frbinom
The goal of frbinom is to generate random variables of fractional binomial distribution and compute its density, cumulative distribution, and quantiles.
Installation
You can install the development version of frbinom from GitHub with:
# install.packages("devtools")
devtools::install_github("leejeo25/frbinom")
Example
10 random variables of a fractional binomial distribution.
library(frbinom)
rfrbinom(n=10, size=50, prob=.6, h=.7, c=.2)
#> [1] 34 33 40 34 39 32 34 25 34 37
The probability density of the fractional binomial distribution.
dfrbinom(x=seq(0,50,1), size=50, prob=.6, h=.7, c=.2)
#> [1] 3.309256e-02 1.431863e-03 1.557437e-03 1.698900e-03 1.858815e-03
#> [6] 2.040225e-03 2.246763e-03 2.482766e-03 2.753423e-03 3.064954e-03
#> [11] 3.424806e-03 3.841903e-03 4.326913e-03 4.892553e-03 5.553920e-03
#> [16] 6.328817e-03 7.238051e-03 8.305650e-03 9.558921e-03 1.102823e-02
#> [21] 1.274636e-02 1.474727e-02 1.706397e-02 1.972538e-02 2.275181e-02
#> [26] 2.614900e-02 2.990078e-02 3.396057e-02 3.824255e-02 4.261379e-02
#> [31] 4.688921e-02 5.083182e-02 5.416082e-02 5.657003e-02 5.775753e-02
#> [36] 5.746564e-02 5.552719e-02 5.191025e-02 4.675122e-02 4.036456e-02
#> [41] 3.322041e-02 2.588705e-02 1.894504e-02 1.289015e-02 8.049503e-03
#> [46] 4.535348e-03 2.251572e-03 9.509789e-04 3.228462e-04 7.917274e-05
#> [51] 1.070436e-05
The histogram of fractional binomial random variables overlaid with its density.
x<-rfrbinom(10000, 50, .6, .7, .2)
den.<-dfrbinom(seq(0,50,1), 50, .6, .7, .2)
hist(x, breaks=51, probability = TRUE, main="Histogram of fractional binomial random variables and its density")
lines(seq(0,50,1), den., type="l")