Power Exponential Distribution
These functions provide information about the power exponential
distribution with mean parameter equal to m, dispersion equal
to s, and family parameter equal to f: density,
cumulative distribution, quantiles, log hazard, and random generation.
The power exponential distribution has density
f(y) = exp(-(abs(y-m)/sqrt(s))^(2 f)/2)/ (sqrt(s) Gamma(1+1/(2 f)) 2^(1+1/(2 f)))
where m is the mean of the distribution, s is the dispersion, and f is the family parameter. f=1 yields a normal distribution, f=0.5 a Laplace distribution, and f=Inf a uniform distribution.
dpowexp(y, m=0, s=1, f=1, log=FALSE) ppowexp(q, m=0, s=1, f=1) qpowexp(p, m=0, s=1, f=1) rpowexp(n, m=0, s=1, f=1)
y |
vector of responses. |
q |
vector of quantiles. |
p |
vector of probabilities |
n |
number of values to generate |
m |
vector of means. |
s |
vector of dispersion parameters. |
f |
vector of family parameters. |
log |
if TRUE, log probabilities are supplied. |
J.K. Lindsey
dpowexp(5, 5, 1, 2) ppowexp(5, 5, 1, 2) qpowexp(0.5, 5, 1, 2) rpowexp(10, 5, 1, 2)
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