parst3 | R Documentation |
This function estimates the parameters of the 3-parameter Student t 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 L-moments are seen under lmomst3
. The largest value of \nu
recognized is 1000, which is the Normal distribution and the smallest value recognized is 1.000001, which was arrived from manual experiments. As \nu \rightarrow \infty
the distribution limits to the Cauchy, but the implementation here does not switch over to the Cauchy. Therefore in lmomco 1.000001 \le \nu \le 1000
. The \nu
is the “degrees of freedom” parameter that is well-known with the 1-parameter Student t distribution.
parst3(lmom, checklmom=TRUE, ...)
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: “parst3”. |
W.H. Asquith
Asquith, W.H., 2011, Distributional analysis with L-moment statistics using the R environment for statistical computing: Createspace Independent Publishing Platform, ISBN 978–146350841–8.
lmomst3
, cdfst3
, pdfst3
, quast3
parst3(vec2lmom(c(10,2,0,.1226)))$para
parst3(vec2lmom(c(10,2,0,.14)))$para
parst3(vec2lmom(c(10,2,0,0.2)))$para
parst3(vec2lmom(c(10,2,0,0.4)))$para
parst3(vec2lmom(c(10,2,0,0.9)))$para
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