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)