| Log {VGAM} | R Documentation |
Density, distribution function, and random generation for the logarithmic distribution.
dlog(x, prob) plog(q, prob, log.p=FALSE) rlog(n, prob, Smallno=1.0e-6)
x, q |
Vector of quantiles. For the density, it should be a vector with
positive integer values in order for the probabilities to be positive.
|
n |
number of observations. A single positive integer. |
prob |
The parameter value c described in in logff.
Here it is called prob because 0<c<1 is the range.
For rlog() this parameter must be of length 1.
|
log.p |
Logical.
If TRUE then all probabilities p are given as log(p).
|
Smallno |
Numeric, a small value used by the rejection method for determining
the upper limit of the distribution.
That is, plog(U, prob) > 1-Smallno where U is the upper limit.
|
The details are given in logff.
dlog gives the density,
plog gives the distribution function, and
rlog generates random deviates.
Given some response data, the VGAM family function
logff estimates the parameter prob.
T. W. Yee
Evans, M., Hastings, N. and Peacock, B. (2000) Statistical Distributions, New York: Wiley-Interscience, Third edition.
dlog(1:20, 0.5)
rlog(20, 0.5)
## Not run:
prob = 0.8; x = 1:10
plot(x, dlog(x, prob=prob), type="h", ylim=0:1,
sub="prob=0.8", las=1, col="blue", ylab="Probability",
main="Logarithmic distribution: blue=density; red=distribution function")
lines(x+0.1, plog(x, prob=prob), col="red", lty=3, type="h")
## End(Not run)