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
vector of probabilities.
number of observations.
Same as in
The parameter value
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 distn: blue=PMF; orange=CDF") lines(x+0.1, potlog(x, shape), col = "orange", lty = 3, type = "h") ## End(Not run)
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