quast3 | R Documentation |
This function computes the quantiles of the 3-parameter Student t distribution given parameters (\xi
, \alpha
, \nu
) computed by parst3
. There is no explicit solution for the quantile function for nonexceedance probability F
but built-in R functions can be used. For \nu \ge 1000
, one can use qnorm(F, mean=U,
sd=A)
and for U
= \xi
and A
= \alpha
for 1.000001 \le \nu \le 1000
, one can use U +
A*qt(F, N)
for N
= \nu
and where the R function qnorm
is the Normal distribution and R function qt
is the 1-parameter Student t distribution.
quast3(f, para, paracheck=TRUE)
f |
Nonexceedance probability ( |
para |
The parameters from |
paracheck |
A logical on whether the parameters are checked for validity. Overriding of this check might be extremely important and needed for use of the quantile function in the context of TL-moments with nonzero trimming. |
Quantile value for nonexceedance probability F
.
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.
cdfst3
, pdfst3
, lmomst3
, parst3
lmr <- lmoms(c(123,34,4,654,37,78))
quast3(0.75,parst3(lmr))
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