qnormp | R Documentation |
Quantiles for the exponential power distribution with location parameter mu
,
scale parameter sigmap
and shape parameter p
.
qnormp(pr, mu=0, sigmap=1, p=2, lower.tail=TRUE, log.pr=FALSE)
pr |
Vector of probabilities. |
mu |
Vector of location parameters. |
sigmap |
Vector of scale parameters. |
p |
Shape parameter. |
lower.tail |
Logical; if TRUE (default), probabilities are |
log.pr |
Logical; if TRUE, probabilities |
If mu
, sigmap
or p
are not specified they assume the default values 0, 1 and 2,
respectively.
The exponential power distribution has density function
f(x) = \frac{1}{2 p^{(1/p)} \Gamma(1+1/p) \sigma_p} e^{-\frac{|x - \mu|^p}{p \sigma_p^p}}
where \mu
is the location parameter, \sigma_p
the scale parameter and p
the
shape parameter.
When p=2
the exponential power distribution becomes the Normal Distribution, when
p=1
the exponential power distribution becomes the Laplace Distribution, when
p\rightarrow\infty
the exponential power distribution becomes the Uniform Distribution.
qnormp
gives the quantiles of an exponential power distribution.
Angelo M. Mineo
Normal
for the Normal distribution, Uniform
for the Uniform distribution, and Special
for the Gamma function.
## Compute the quantiles for a vector of probabilities x
## with mu=1, sigmap=2 and p=1.5
x <- 0.3
q <- qnormp(x, 1, 2, 1.5)
q
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