.BG
.FN Logistic
.FN dlogis
.FN plogis
.FN qlogis
.FN rlogis
.TL
Logistic Distribution
.CS
dlogis(q, location=0, scale=1)
plogis(q, location=0, scale=1)
qlogis(p, location=0, scale=1)
rlogis(n, location=0, scale=1)
.AG q
vector of quantiles.
Missing values (`NA's) are allowed.
.AG p
vector of probabilities.
Missing values (`NA's) are allowed.
.AG n
sample size.
If `length(n)' is larger than 1, then `length(n)' random values are returned.
.AG location
vector of location parameters.
.AG scale
vector of scale parameters.
.RT
density (`dlogis'),
probability (`plogis'),
quantile (`qlogis'), or
random sample (`rlogis')
for the logistic distribution with parameters `location' and `scale'.
.SP
.Tr
The density function is given by
.sp
.EQ
delim $$
f sub l,s ( q ) ~=~
{ exp "{" - ( q - l ) / s "}" } over
{ s { ( 1 ~+~ exp "{" - ( q - l ) / s "}" ) } sup 2 } ,
~~~ s ~>~ 0,
.EN
.sp
where $l$ and $s$ are the `location' and `scale' parameters.
.En
.SE
The function `rlogis' causes creation of the dataset `.Random.seed' if it does
not already exist, otherwise its value is updated.
.KW distribution
.EQ
delim off
.EN
.WR
