The Truncated Logistic Distribution
Density, distribution function, quantile function, and random generation for the left and/or right truncated logistic distribution.
dtlogis(x, location = 0, scale = 1, left = -Inf, right = Inf, log = FALSE) ptlogis(q, location = 0, scale = 1, left = -Inf, right = Inf, lower.tail = TRUE, log.p = FALSE) rtlogis(n, location = 0, scale = 1, left = -Inf, right = Inf) qtlogis(p, location = 0, scale = 1, left = -Inf, right = Inf, lower.tail = TRUE, log.p = FALSE)
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. If |
location |
location parameter. |
scale |
scale parameter. |
left |
left truncation point. |
right |
right truncation 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]. |
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 truncated logistic distribution has density
f(x) = 1/σ λ((x - μ)/σ) / (Λ((right - μ)/σ) - Λ((left - μ)/σ))
for left ≤ x ≤ right, and 0 otherwise.
Λ and λ are the cumulative distribution function and probability density function of the standard logistic distribution respectively, μ is the location of the distribution, and σ the scale.
dtlogis gives the density, ptlogis gives the distribution
function, qtlogis gives the quantile function, and rtlogis
generates random deviates.
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