.BG
.FN T
.FN dt
.FN pt
.FN qt
.FN rt
.TL
Student's t-Distribution
.CS
dt(q, df)
pt(q, df)
qt(p, df)
rt(n, df)
.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 df
vector of degrees of freedom.
.RT
density (`dt'),
probability (`pt'),
quantile (`qt'), or
random sample (`rt')
for Student's
t-distribution on `df' degrees of freedom.
.SP
.Tr
The density function is given by
.sp
.EQ
delim $$
f sub d ( q ) ~=~
{ GAMMA ( { d + 1 } over 2 ) } over
{ GAMMA ( d over 2 ) sqrt ( pi d ) }
{ ( 1 + q sup 2 / d ) sup { - \(12 ( d + 1 ) } } ,
~~~ q ~>~ 0 , ~~ d ~>~ 0,
.EN
.sp
where $d$ is the `df' parameter.
.En
.SE
The function `rt' 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
