Order {DescTools} | R Documentation |

## Distributions of Order Statistics

### Description

Density function, distribution function and random generation for a selected Order statistic of a given number of independent variables from a specified distribution.

### Usage

```
dOrder(x, densfun, distnfun, ..., distn, mlen = 1, j = 1,
largest = TRUE, log = FALSE)
pOrder(q, distnfun, ..., distn, mlen = 1, j = 1, largest = TRUE,
lower.tail = TRUE)
rOrder(n, quantfun, ..., distn, mlen = 1, j = 1, largest = TRUE)
```

### Arguments

`x` , `q` |
Vector of quantiles. |

`n` |
Number of observations. |

`densfun` , `distnfun` , `quantfun` |
Density, distribution and
quantile function of the specified distribution. The density
function must have a |

`...` |
Parameters of the specified distribution. |

`distn` |
A character string, optionally specified as an
alternative to |

`mlen` |
The number of independent variables. |

`j` |
The Order statistic, taken as the |

`largest` |
Logical; if |

`log` |
Logical; if |

`lower.tail` |
Logical; if |

### Value

`dOrder`

gives the density function, `pOrder`

gives the
distribution function and `qOrder`

gives the quantile function
of a selected Order statistic from a sample of size `mlen`

,
from a specified distibution. `rOrder`

generates random deviates.

### Author(s)

Alec Stephenson <alec_stephenson@hotmail.com>

### See Also

### Examples

```
dOrder(2:4, dnorm, pnorm, mean = 0.5, sd = 1.2, mlen = 5, j = 2)
dOrder(2:4, distn = "norm", mean = 0.5, sd = 1.2, mlen = 5, j = 2)
dOrder(2:4, distn = "exp", mlen = 2, j = 2)
pOrder(2:4, distn = "exp", rate = 1.2, mlen = 2, j = 2)
rOrder(5, qgamma, shape = 1, mlen = 10, j = 2)
```

*DescTools*version 0.99.54 Index]