Description Usage Arguments Details Value Source

Density, distribution function, quantile function and
random generation for the BISA distribution with location
`loc`

and scale `scale`

.

1 2 3 4 5 6 7 |

`p` |
Vector of probabilities |

`shape` |
Shape parameter |

`scale` |
Scale parameter |

`q` |
Vector of quantiles |

`x` |
Vector of quantiles |

`n` |
Number of observations |

If `shape`

is not specified, a default
value of 1 is used.

The Birmbaum-Saunders distribution with shape *β* and
scale *θ* has density

*f(x;θ,β) = \frac{√{\frac{x}{θ}}+√{\frac{θ}{x}}}{2β x}φ_{_{NOR}(z)},\quad x ≥ 0 *

where *φ_{_{NOR}}(z)* is the density of the standard normal distribution and

*z = \frac{1}{β}≤ft(√{\frac{x}{θ}}-√{\frac{θ}{x} } \right)*

.

`dbisa`

gives the density,
`pbisa`

gives the distribution function,
`qbisa`

gives the quantile function, and
`rbisa`

generates random observations.

The length of the result is determined by `n`

for `rbisa`

, and is the maximum of the lengths
of the numerical arguments for the other functions.

The numerical arguments other than `n`

are
recycled to the length of the result.

Birnbaum, Z. W.; Saunders, S. C. (1969), "A new family of life distributions", Journal of Applied Probability, 6 (2): 319–327, JSTOR 3212003, doi:10.2307/3212003

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