Description Usage Arguments Value References See Also Examples

Provides 1-sided or 2-sided tolerance intervals for Cauchy distributed data.

1 | ```
cautol.int(x, alpha = 0.05, P = 0.99, side = 1)
``` |

`x` |
A vector of data which is Cauchy distributed. |

`alpha` |
The level chosen such that |

`P` |
The proportion of the population to be covered by this tolerance interval. |

`side` |
Whether a 1-sided or 2-sided tolerance interval is required (determined by |

`cautol.int`

returns a data.frame with items:

`alpha` |
The specified significance level. |

`P` |
The proportion of the population covered by this tolerance interval. |

`1-sided.lower` |
The 1-sided lower tolerance bound. This is given only if |

`1-sided.upper` |
The 1-sided upper tolerance bound. This is given only if |

`2-sided.lower` |
The 2-sided lower tolerance bound. This is given only if |

`2-sided.upper` |
The 2-sided upper tolerance bound. This is given only if |

Bain, L. J. (1978), *Statistical Analysis of Reliability and Life-Testing Models*, Marcel Dekker, Inc.

1 2 3 4 5 6 7 8 9 10 | ```
## 95%/90% 2-sided Cauchy tolerance interval for a sample
## of size 1000.
set.seed(100)
x <- rcauchy(1000, 100000, 10)
out <- cautol.int(x = x, alpha = 0.05, P = 0.90, side = 2)
out
plottol(out, x, plot.type = "both", x.lab = "Cauchy Data")
``` |

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