# Betageom

From VGAM v1.1-1
by Thomas Yee

##### The Beta-Geometric Distribution

Density, distribution function, and random generation for the beta-geometric distribution.

- Keywords
- distribution

##### Usage

```
dbetageom(x, shape1, shape2, log = FALSE)
pbetageom(q, shape1, shape2, log.p = FALSE)
rbetageom(n, shape1, shape2)
```

##### Arguments

##### Details

The beta-geometric distribution is a geometric distribution whose
probability of success is not a constant but it is generated from a
beta distribution with parameters `shape1`

and `shape2`

.
Note that the mean of this beta distribution is
`shape1/(shape1+shape2)`

, which therefore is the
mean of the probability of success.

##### Value

`dbetageom`

gives the density,
`pbetageom`

gives the distribution function, and
`rbetageom`

generates random deviates.

##### Note

`pbetageom`

can be particularly slow.

##### See Also

##### Examples

```
# NOT RUN {
shape1 <- 1; shape2 <- 2; y <- 0:30
proby <- dbetageom(y, shape1, shape2, log = FALSE)
plot(y, proby, type = "h", col = "blue", ylab = "P[Y=y]", main = paste(
"Y ~ Beta-geometric(shape1=", shape1,", shape2=", shape2, ")", sep = ""))
sum(proby)
# }
```

*Documentation reproduced from package VGAM, version 1.1-1, License: GPL-3*

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