tlogis | R Documentation |
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)
qtlogis(p, location = 0, scale = 1, left = -Inf, right = Inf,
lower.tail = TRUE, log.p = FALSE)
rtlogis(n, location = 0, scale = 1, left = -Inf, right = Inf)
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/\sigma \lambda((x - \mu)/\sigma) / (\Lambda((right - \mu)/\sigma) - \Lambda((left - \mu)/\sigma))
for left \le x \le right
, and 0 otherwise.
\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.
dtlogis
gives the density, ptlogis
gives the distribution
function, qtlogis
gives the quantile function, and rtlogis
generates random deviates.
dlogis
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