Description Usage Arguments Value Note Author(s) References See Also Examples

This function estimates the parameters of the Laplace distribution given the L-moments of the data in an L-moment object such as that returned by `lmoms`

. The relations between distribution parameters and sample L-moments are simple, but there are two methods. The first method, which is the only one implemented in lmomco, jointly uses *λ_1, λ_2, λ_3*, and *λ_4*. The mathematical expressions are

*ξ = λ_1 - 50/31\timesλ_3 \mbox{and}*

*α = 1.4741λ_2 - 0.5960λ_4 \mbox{.}*

The alternative and even simpler method only uses *λ_1* and *λ_2*. The mathematical expressions are

*ξ = λ_1\mbox{\, and}*

*α = \frac{4}{3}λ_2\mbox{.}*

The user could easily estimate the parameters from the L-moments and use `vec2par`

to create a parameter object.

1 |

`lmom` |
An L-moment object created by |

`checklmom` |
Should the |

`...` |
Other arguments to pass. |

An **R** `list`

is returned.

`type` |
The type of distribution: |

`para` |
The parameters of the distribution. |

`source` |
The source of the parameters: “parlap”. |

The decision to use only one of the two systems of equations for Laplace fitting is largely arbitrary, but it seems most fitting to use four L-moments instead of two.

W.H. Asquith

Hosking, J.R.M., 1986, The theory of probability weighted moments: IBM Research Report RC12210, T.J. Watson Research Center, Yorktown Heights, New York.

`lmomlap`

,
`cdflap`

, `pdflap`

, `qualap`

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