Student's t distribution for 'df' degrees of freedom, shifted by 'mean' and scaled by 'sd'.
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x,q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. If |
df |
degrees of freedom (> 0, maybe non-integer). |
mean |
mean value for the shifted, scaled distribution. |
sd |
Scale factor for the shifted, scaled distribution. |
ncp |
non-centrality parameter delta; currently except for |
lower.tail |
logical; if TRUE (default), probabilities are P[X <= x]; otherwise, P[X > x]. |
log, log.p |
logical; if TRUE, probabilities p are given as log(p). |
These are wrappers for the corresponding t distribution functions in package stats
.
The scaled, shifted t distribution has mean mean
and variance sd^2 * df/(df-2)
The scaled, shifted t distribution is used for Monte Carlo evaluation when a value x has
been assigned a standard uncertainty u associated with with df degrees of freedom;
the corresponding distribution function for that is then t.scaled
with
mean=x
, sd=u
and df=df
.
dt.scaled
gives the density, pt.scaled
gives the distribution function,
qt.scaled
gives the quantile function, and rt.scaled
generates random deviates.
Invalid arguments will result in return value NaN
, with a
warning.
S. L. R. Ellison s.ellison@lgc.co.uk
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