# poibin-package: The Poisson Binomial Distribution. In poibin: The Poisson Binomial Distribution

## Description

The cdf, pmf, quantile function, and random number generation for the Poisson binomial distribution.

## Details

 Package: poibin Type: Package Version: 1.1 Date: 2012-11-07 License: GPL-2 LazyLoad: yes

This package implements both the exact and approximation methods for computing the cdf of the Poisson binomial distribution. It also provides the pmf, quantile function, and random number generation for the Poisson binomial distribution.

## Author(s)

Yili Hong

Maintainer: Yili Hong <[email protected]>

## References

Hong, Y. (2012). On computing the distribution function for the Poisson binomial distribution. Computational Statistics & Data Analysis. Available online, http://dx.doi.org/10.1016/j.csda.2012.10.006.

## Examples

 ```1 2 3 4 5 6 7 8 9``` ``` kk=0:10 pp=c(.1,.2,.3,.4,.5) ppoibin(kk=kk, pp=pp, method = "DFT-CF",wts=rep(2,5)) ppoibin(kk=kk, pp=pp, method = "RF",wts=rep(2,5)) ppoibin(kk=kk, pp=pp, method = "RNA",wts=rep(2,5)) ppoibin(kk=kk, pp=pp, method = "NA",wts=rep(2,5)) dpoibin(kk=kk, pp=pp,wts=rep(2,5)) qpoibin(qq=0:10/10,pp=pp,wts=rep(2,5)) rpoibin(m=2,pp=pp,wts=rep(2,5)) ```

### Example output

``` [1] 0.02286144 0.13517280 0.37211652 0.65383500 0.86212984 0.96181016
[7] 0.99294500 0.99918348 0.99994720 0.99999856 1.00000000
[1] 0.02286144 0.13517280 0.37211652 0.65383500 0.86212984 0.96181016
[7] 0.99294500 0.99918348 0.99994720 0.99999856 1.00000000
[1] 0.02812958 0.13669805 0.37078646 0.65398594 0.86019757 0.95840421
[7] 0.99114093 0.99873860 0.99988766 0.99999400 0.99999981
[1] 0.03486268 0.13825024 0.35840026 0.64159974 0.86174976 0.96513732
[7] 0.99444416 0.99945199 0.99996698 0.99999879 0.99999997
[1] 0.02286144 0.11231136 0.23694372 0.28171848 0.20829484 0.09968032
[7] 0.03113484 0.00623848 0.00076372 0.00005136 0.00000144
[1]  0  1  2  2  3  3  3  4  4  5 10
[1] 4 3
```

poibin documentation built on May 29, 2017, 7:08 p.m.