dboxcox(y, m, s, f) pboxcox(q, m, s, f) hboxcox(y, m, s, f)
y
| vector of responses. |
q
| vector of quantiles. |
m
| vector of location parameters. |
s
| vector of dispersion parameters. |
f
| vector of power parameters. |
m
, dispersion
equal to s
, and power transformation equal to f
.
dboxcox
gives the density, pboxcox
gives the distribution
function hboxcox
gives the hazard function.
The Box-Cox distribution has density
f(y) = 1/sqrt(2 pi s^2) exp(-((y^f/f - mu)^2/(2 s^2)))/ (1-I(f<0)-sign(f)*pnorm(0,m,sqrt(s)))
where m is the location parameter of the distribution, s is the dispersion, f is the family parameter, I() is the indicator function, and y>0.f=1 gives a truncated normal distribution.
dnorm
for the normal or Gaussian distribution.dboxcox(2, 5, 5, 2) pboxcox(2, 5, 5, 2)