Density, distribution function, quantile function, and random generation for the one-truncated logarithmic distribution.
dotlog(x, shape, log = FALSE) potlog(q, shape, log.p = FALSE) qotlog(p, shape) rotlog(n, shape)
Vector of quantiles. For the density, it should be a vector with integer values > 1 in order for the probabilities to be positive.
vector of probabilities.
number of observations.
Same as in
The parameter value c described in in
The one-truncated logarithmic distribution is a logarithmic distribution but with
the probability of a one being zero. The other probabilities are scaled
to add to unity.
Some more details are given in
dotlog gives the density,
potlog gives the distribution function,
qotlog gives the quantile function, and
rotlog generates random deviates.
Given some response data, the VGAM family function
otlog estimates the parameter
potlog() suffers from the problems that
plog sometimes has.
T. W. Yee
dotlog(1:20, 0.5) rotlog(20, 0.5) ## Not run: shape <- 0.8; x <- 1:10 plot(x, dotlog(x, shape = shape), type = "h", ylim = 0:1, sub = "shape=0.8", las = 1, col = "blue", ylab = "Probability", main = "1-truncated logarithmic distribution: blue=PMF; orange=CDF") lines(x + 0.1, potlog(x, shape = shape), col = "orange", lty = 3, type = "h") ## End(Not run)
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.