Uniform {stats} | R Documentation |

## The Uniform Distribution

### Description

These functions provide information about the uniform distribution
on the interval from `min`

to `max`

. `dunif`

gives the
density, `punif`

gives the distribution function `qunif`

gives the quantile function and `runif`

generates random
deviates.

### Usage

dunif(x, min=0, max=1, log = FALSE)
punif(q, min=0, max=1, lower.tail = TRUE, log.p = FALSE)
qunif(p, min=0, max=1, lower.tail = TRUE, log.p = FALSE)
runif(n, min=0, max=1)

### Arguments

`x,q` |
vector of quantiles. |

`p` |
vector of probabilities. |

`n` |
number of observations. If `length(n) > 1` , the length
is taken to be the number required. |

`min,max` |
lower and upper limits of the distribution. Must be finite. |

`log, log.p` |
logical; if TRUE, probabilities p are given as log(p). |

`lower.tail` |
logical; if TRUE (default), probabilities are
*P[X <= x]*, otherwise, *P[X > x]*. |

### Details

If `min`

or `max`

are not specified they assume the default
values of `0`

and `1`

respectively.

The uniform distribution has density

*f(x) = 1/(max-min)*

for *min <= x <= max*.

For the case of *u := min == max*, the limit case of
*X == u* is assumed, although there is no density in
that case and `dunif`

will return `NaN`

(the error condition).

`runif`

will not generate either of the extreme values unless
`max = min`

or `max-min`

is small compared to `min`

,
and in particular not for the default arguments.

### References

Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988)
*The New S Language*.
Wadsworth & Brooks/Cole.

### See Also

`.Random.seed`

about random number generation,
`rnorm`

, etc for other distributions.

### Examples

u <- runif(20)
## The following relations always hold :
punif(u) == u
dunif(u) == 1
var(runif(10000))#- ~ = 1/12 = .08333

[Package

*stats* version 2.9.0

Index]