# R Packages: sinib

Sum of Independent Non-Identical Binomial Random Variables

## Description

Density, distribution function, quantile function and random generation for the sum of independent non-identical binomial distribution with parameters `size`

and `prob`

.

## Installation

In R console, type

```
install.packages('sinib')
library('sinib')
```

## Documentation

The documentation for the four main functions `dsinib`

, `psinib`

, `qsinib`

, and `rsinib`

can be assessed in R by typing

```
?dsinib
?psinib
?qsinib
?rsinib
```

## Example

Suppose `S=X1+X2+X3`

where `X1~binom(12,0.074)`

, `X2~binom(14,0.039)`

and `X3~binom(4,0.095)`

. If you would like to calculate the probability `P(S=3)`

and `P(S=20)`

, you would do the following.

```
size=as.integer(c(12, 14, 4))
prob=c(0.074, 0.039, 0.095)
x=c(3,20)
dsinib(x,size,prob)
# [1] 1.675016e-01 3.167624e-18
```