Box-Cox Distribution
These functions provide information about the Box-Cox
distribution with location parameter equal to m, dispersion
equal to s, and power transformation equal to f: density,
cumulative distribution, quantiles, log hazard, and random generation.
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.
dboxcox(y, m, s=1, f=1, log=FALSE) pboxcox(q, m, s=1, f=1) qboxcox(p, m, s=1, f=1) rboxcox(n, m, 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 location parameters. |
s |
vector of dispersion parameters. |
f |
vector of power parameters. |
log |
if TRUE, log probabilities are supplied. |
J.K. Lindsey
dnorm for the normal or Gaussian distribution.
dboxcox(2, 5, 5, 2) pboxcox(2, 5, 5, 2) qboxcox(0.1, 5, 5, 2) rboxcox(10, 5, 5, 2)
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