VGAM (version 1.1-8)

Log: Logarithmic Distribution

Description

Density, distribution function, quantile function, and random generation for the logarithmic distribution.

Usage

dlog(x, shape, log = FALSE)
plog(q, shape, lower.tail = TRUE, log.p = FALSE)
qlog(p, shape)
rlog(n, shape)

Value

dlog gives the density,

plog gives the distribution function,

qlog gives the quantile function, and

rlog generates random deviates.

Arguments

x, q, p, n, lower.tail

Same interpretation as in runif.

shape

The shape parameter value \(c\) described in in logff.

log, log.p

Logical. If log.p = TRUE then all probabilities p are given as log(p).

Author

T. W. Yee

Details

The details are given in logff.

References

Forbes, C., Evans, M., Hastings, N. and Peacock, B. (2011). Statistical Distributions, Hoboken, NJ, USA: John Wiley and Sons, Fourth edition.

See Also

logff, Gaitdlog, Oilog. Otlog.

Examples

dlog(1:20, 0.5)
rlog(20, 0.5)

if (FALSE)  shape <- 0.8; x <- 1:10
plot(x, dlog(x, shape = shape), type = "h", ylim = 0:1,
     sub = "shape=0.8", las = 1, col = "blue", ylab = "shape",
     main = "Logarithmic distribution: blue=PDF; orange=CDF")
lines(x + 0.1, plog(x, shape), col = "orange", lty = 3, type = "h")