The Censored Logistic Distribution
Description
Density, distribution function, quantile function, and random generation for the left and/or right censored logistic distribution.
Usage
dclogis(x, location = 0, scale = 1, left = -Inf, right = Inf, log = FALSE)
pclogis(q, location = 0, scale = 1, left = -Inf, right = Inf,
lower.tail = TRUE, log.p = FALSE)
qclogis(p, location = 0, scale = 1, left = -Inf, right = Inf,
lower.tail = TRUE, log.p = FALSE)
rclogis(n, location = 0, scale = 1, left = -Inf, right = Inf)
Arguments
x, q
|
vector of quantiles. |
p
|
vector of probabilities. |
n
|
number of observations. If length(n) > 1, the length is taken to be the number required.
|
location
|
location parameter. |
scale
|
scale parameter. |
left
|
left censoring point. |
right
|
right censoring point. |
log, log.p
|
logical; if TRUE, probabilities p are given as log(p). |
lower.tail
|
logical; if TRUE (default), probabilities are P[X <= x] otherwise, P[X > x]. |
Details
If location or scale are not specified they assume the default values of 0 and 1, respectively. left and right have the defaults -Inf and Inf respectively.
The censored logistic distribution has density \(f(x)\):
| \(\Lambda((left - \mu)/\sigma)\) | if \(x \le left\) |
| \(1 - \Lambda((right - \mu)/\sigma)\) | if \(x \ge right\) |
| \(\lambda((x - \mu)/\sigma)/\sigma\) | if \(left < x < right\) |
where \(\Lambda\) and \(\lambda\) are the cumulative distribution function and probability density function of the standard logistic distribution respectively, \(\mu\) is the location of the distribution, and \(\sigma\) the scale.
Value
dclogis gives the density, pclogis gives the distribution function, qclogis gives the quantile function, and rclogis generates random deviates.
See Also
dlogis