Betageom | R Documentation |

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

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

`x, q` |
vector of quantiles. |

`n` |
number of observations.
Same as |

`shape1, shape2` |
the two (positive) shape parameters of the standard
beta distribution. They are called |

`log, log.p` |
Logical.
If |

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.

`dbetageom`

gives the density,
`pbetageom`

gives the distribution function, and
`rbetageom`

generates random deviates.

`pbetageom`

can be particularly slow.

T. W. Yee

`geometric`

,
`betaff`

,
`Beta`

.

```
## 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 = paste0(
"Y ~ Beta-geometric(shape1=", shape1,", shape2=", shape2, ")"))
sum(proby)
## End(Not run)
```

VGAM documentation built on Sept. 19, 2023, 9:06 a.m.

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