| power exponential(rmutil) | R Documentation |
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.
dpowexp gives the density, ppowexp gives the distribution
function.
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) ppowexp(q, m=0, s=1, f=1)
y |
vector of responses. |
q |
vector of quantiles. |
m |
vector of means. |
s |
vector of dispersion parameters. |
f |
vector of family parameters. |
J.K. Lindsey
dpowexp(5, 5, 1, 2) ppowexp(5, 5, 1, 2)