Description Usage Arguments Value Author(s) References Examples

This is a simple function that computes bounds for a credible interval
according to Gauss's inequality. If a random variable has a Lebesgue density
with a single mode (`mode`

) and a finite expected squared
deviation (`tau`

^2) from this mode,
then Gauss's inequality tells us that at least a
given proportion (`prob`

) of the distribution's mass lies within a
finite symmetric interval centred on the mode.

1 | ```
Gaussbound(mode, tau, prob)
``` |

`mode` |
Numeric. The location of the density's mode. |

`tau` |
Numeric. The square root of the expected squared deviation from the mode. |

`prob` |
Numeric. A lower bound on the probability mass that is contained within the interval |

` ` |
An ordered vector containing the lower and upper bounds of the interval. |

Ben Powell

Pukelsheim, F. (1994) The Three Sigma Rule. *The American Statistician*
**48**, 88-91.

1 | ```
Gaussbound(1,1,0.9)
``` |

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